TY  - JOUR
AU  - Tomović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Zorić, Nemanja
AU  - Mitrović, Zoran
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6872
AB  - Purpose This study aims to obtain and present the closed-form solution of coupled
axial-bending vibration problem for the general case of axially functionally graded
(AFG) beams, to create the frequency equation and to propose numerical method for
computing natural frequencies.
Methods The general model of a beam is introduced using two cylindrical springs, one
rotational spring, and a rigid body at each beam end. Mass centers of bodies are
placed eccentrically in axial and transverse direction with respect to end points of the
beam. The general boundary conditions are modelled by linearized Newton-Euler
differential equations and the general case of the in-plane axial-bending vibrations of
AFG beams is covered. It is assumed that the beam is made of a functionally graded
material whose material and cross-sectional characteristics change along its
longitudinal axis without any restrictions. The Euler-Bernoulli constitutive theory is
applied for modelling. Partial differential equations of motion are transformed into a
system of ordinary differential equations with variable coefficients, the form suitable for
the implementation of the symbolic-numeric methods of initial parameters. Natural
frequencies of the beam are computed as numerical solutions of the exact frequency
equation.
Results and conclusions The closed-form solution of coupled axial-bending vibrations
is derived for general case of AFG beams. Orthogonality conditions of mode shapes
are derived, and constants in time function. Also, the frequency equation is derived and
solved numerically in order to obtain natural frequencies. Obtained results of natural
frequencies and mode shapes are compared to those available in open literature.
PB  - Springer
T2  - Journal of Vibration Engineering & Technologies
T1  - Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6872
ER  - 

@article{
author = "Tomović, Aleksandar and Šalinić, Slaviša and Obradović, Aleksandar and Zorić, Nemanja and Mitrović, Zoran",
year = "2023",
abstract = "Purpose This study aims to obtain and present the closed-form solution of coupled
axial-bending vibration problem for the general case of axially functionally graded
(AFG) beams, to create the frequency equation and to propose numerical method for
computing natural frequencies.
Methods The general model of a beam is introduced using two cylindrical springs, one
rotational spring, and a rigid body at each beam end. Mass centers of bodies are
placed eccentrically in axial and transverse direction with respect to end points of the
beam. The general boundary conditions are modelled by linearized Newton-Euler
differential equations and the general case of the in-plane axial-bending vibrations of
AFG beams is covered. It is assumed that the beam is made of a functionally graded
material whose material and cross-sectional characteristics change along its
longitudinal axis without any restrictions. The Euler-Bernoulli constitutive theory is
applied for modelling. Partial differential equations of motion are transformed into a
system of ordinary differential equations with variable coefficients, the form suitable for
the implementation of the symbolic-numeric methods of initial parameters. Natural
frequencies of the beam are computed as numerical solutions of the exact frequency
equation.
Results and conclusions The closed-form solution of coupled axial-bending vibrations
is derived for general case of AFG beams. Orthogonality conditions of mode shapes
are derived, and constants in time function. Also, the frequency equation is derived and
solved numerically in order to obtain natural frequencies. Obtained results of natural
frequencies and mode shapes are compared to those available in open literature.",
publisher = "Springer",
journal = "Journal of Vibration Engineering & Technologies",
title = "Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6872"
}

Tomović, A., Šalinić, S., Obradović, A., Zorić, N.,& Mitrović, Z.. (2023). Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams. in Journal of Vibration Engineering & Technologies
Springer..
https://hdl.handle.net/21.15107/rcub_machinery_6872

Tomović A, Šalinić S, Obradović A, Zorić N, Mitrović Z. Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams. in Journal of Vibration Engineering & Technologies. 2023;.
https://hdl.handle.net/21.15107/rcub_machinery_6872 .

Tomović, Aleksandar, Šalinić, Slaviša, Obradović, Aleksandar, Zorić, Nemanja, Mitrović, Zoran, "Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams" in Journal of Vibration Engineering & Technologies (2023),
https://hdl.handle.net/21.15107/rcub_machinery_6872 .

TY  - JOUR
AU  - Milić, Milica
AU  - Svorcan, Jelena
AU  - Zorić, Nemanja
AU  - Atanasovska, Ivana
AU  - Momčilović, Dejan B.
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6955
AB  - Composite materials have been extensively employed in the aviation industry in recent years. The application of new materials enables significant weight savings with improved mechanical characteristics. This is also very important in the field of development of unmanned aerial vehicles (UAV). In the design phases, it is necessary to perceive all the aspects that are important for the structure and consider different load cases. The relationship between weight and strength proved to be important. This means that detailed strength analyses of each structural part are indispensable. In particular, primary load-bearing structures must sustain all types of loads without fail. Failure of the structure can affect the motion of the UAV during the mission or lead to a crash and significant losses. This paper presents the research performed on the failure analysis of a composite beam of a novel UAV. During the testing phase, under an unpredictable load condition followed by a crash landing, failure of the structure occurred on a beam element. The study was performed to determine the cause of the failure of certain layers of the composite laminate, because the previous calculation showed that it met the criteria for which it was dimensioned. Based on the telemetry data and the impact load that was registered, a complementary numerical and experimental analyses were performed to determine what happened and why. Composite test specimens were extracted from the beam and subjected to standard tensile tests, in order to determine the actual mechanical characteristics of the layered material. The paper presents in detail the comparison of the results as well as the methodology used in this research.
PB  - London : Sage Publications Ltd
T2  - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
T1  - Mathematical modeling and experimental investigation of a composite beam failure - Case study
EP  - 12
SP  - 1
DO  - 10.1177/09544062231179078
ER  - 

@article{
author = "Milić, Milica and Svorcan, Jelena and Zorić, Nemanja and Atanasovska, Ivana and Momčilović, Dejan B.",
year = "2023",
abstract = "Composite materials have been extensively employed in the aviation industry in recent years. The application of new materials enables significant weight savings with improved mechanical characteristics. This is also very important in the field of development of unmanned aerial vehicles (UAV). In the design phases, it is necessary to perceive all the aspects that are important for the structure and consider different load cases. The relationship between weight and strength proved to be important. This means that detailed strength analyses of each structural part are indispensable. In particular, primary load-bearing structures must sustain all types of loads without fail. Failure of the structure can affect the motion of the UAV during the mission or lead to a crash and significant losses. This paper presents the research performed on the failure analysis of a composite beam of a novel UAV. During the testing phase, under an unpredictable load condition followed by a crash landing, failure of the structure occurred on a beam element. The study was performed to determine the cause of the failure of certain layers of the composite laminate, because the previous calculation showed that it met the criteria for which it was dimensioned. Based on the telemetry data and the impact load that was registered, a complementary numerical and experimental analyses were performed to determine what happened and why. Composite test specimens were extracted from the beam and subjected to standard tensile tests, in order to determine the actual mechanical characteristics of the layered material. The paper presents in detail the comparison of the results as well as the methodology used in this research.",
publisher = "London : Sage Publications Ltd",
journal = "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science",
title = "Mathematical modeling and experimental investigation of a composite beam failure - Case study",
pages = "12-1",
doi = "10.1177/09544062231179078"
}

Milić, M., Svorcan, J., Zorić, N., Atanasovska, I.,& Momčilović, D. B.. (2023). Mathematical modeling and experimental investigation of a composite beam failure - Case study. in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
London : Sage Publications Ltd., 1-12.
https://doi.org/10.1177/09544062231179078

Milić M, Svorcan J, Zorić N, Atanasovska I, Momčilović DB. Mathematical modeling and experimental investigation of a composite beam failure - Case study. in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2023;:1-12.
doi:10.1177/09544062231179078 .

Milić, Milica, Svorcan, Jelena, Zorić, Nemanja, Atanasovska, Ivana, Momčilović, Dejan B., "Mathematical modeling and experimental investigation of a composite beam failure - Case study" in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (2023):1-12,
https://doi.org/10.1177/09544062231179078 . .

TY  - CONF
AU  - Veg, Marko
AU  - Tomović, Aleksandar
AU  - Šiniković, Goran
AU  - Dikić, Stefan
AU  - Zorić, Nemanja
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6909
AB  - This paper presents the continuation of the research by the authors on the topics of vibration analysis. Namely, a tapered cantilever beam has been studied in theoretical and experimental terms. The beam is 3D printed using the FDM technique of PLA material with two characteristics patterns, linear layered and the two-dimensional periodic structure. The former of the two is conducted to tensile test in order to determine elasticity modulus, so the computations of natural frequencies could be conducted. The experimental part of the research, in terms of natural frequency, is conducted on six specimens with various eccentricities. The angular frequencies of one representative sample, obtained by analytical computations and experimental measurement are compared.
C3  - 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia
T1  - EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6909
ER  - 

@conference{
author = "Veg, Marko and Tomović, Aleksandar and Šiniković, Goran and Dikić, Stefan and Zorić, Nemanja and Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran",
year = "2023",
abstract = "This paper presents the continuation of the research by the authors on the topics of vibration analysis. Namely, a tapered cantilever beam has been studied in theoretical and experimental terms. The beam is 3D printed using the FDM technique of PLA material with two characteristics patterns, linear layered and the two-dimensional periodic structure. The former of the two is conducted to tensile test in order to determine elasticity modulus, so the computations of natural frequencies could be conducted. The experimental part of the research, in terms of natural frequency, is conducted on six specimens with various eccentricities. The angular frequencies of one representative sample, obtained by analytical computations and experimental measurement are compared.",
journal = "9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia",
title = "EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6909"
}

Veg, M., Tomović, A., Šiniković, G., Dikić, S., Zorić, N., Šalinić, S., Obradović, A.,& Mitrović, Z.. (2023). EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia.
https://hdl.handle.net/21.15107/rcub_machinery_6909

Veg M, Tomović A, Šiniković G, Dikić S, Zorić N, Šalinić S, Obradović A, Mitrović Z. EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia. 2023;.
https://hdl.handle.net/21.15107/rcub_machinery_6909 .

Veg, Marko, Tomović, Aleksandar, Šiniković, Goran, Dikić, Stefan, Zorić, Nemanja, Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, "EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY" in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia (2023),
https://hdl.handle.net/21.15107/rcub_machinery_6909 .

TY  - CONF
AU  - Trivković, Zorana
AU  - Svorcan, Jelena
AU  - Baltić, Marija
AU  - Zorić, Nemanja
AU  - Peković, Ognjen
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3808
AB  - Vertical-axis wind turbines, despite being somewhat uncommon and less efficient renewable energy converters, still offer many advantages to small consumers and possibilities for further improvement. Their rotor is usually made up of fiber-glass composite blades that can be optimized both aerodynamically and/or structurally. Although the aerodynamics of vertical-axis wind turbine rotors is unsteady, complex and challenging to simulate, it is possible to make a sufficiently accurate estimation of variable aerodynamic loads acting on the blade and use them for its structural dimensioning. This research combines a multi-objective constrained optimization procedure by particle swarm and finite element method with experimental analyses with the purpose of defining the best blade, i.e. the blade of minimal mass, least tip deflection under the loading case corresponding to the aerodynamically most demanding operational regime, greatest difference between its natural frequencies and rated rotor angular frequency, lowest manufacturing cost and complexity, etc. Imposed constraints also include acceptable failure criteria along the blade. Design variables refer to ply lay-up scheme, i.e. lamina thicknesses and orientations. Final solution, chosen from the obtained Pareto set, was manufactured and experimentally validated. The consistency of strains, measured in several different cases of bending, and corresponding numerical values was mostly below 8%. The study demonstrates the applicability of the employed multi-objective optimization methodology in wind turbine blade design. It also proposes an affordable and structurally reliable composite lay-up scheme specifically designed for small-scale vertical-axis wind turbines.
PB  - Springer Science and Business Media Deutschland GmbH
C3  - Lecture Notes in Networks and Systems
T1  - Multi-objective optimization and experimental testing of a laminated vertical-axis wind turbine blade
EP  - 65
SP  - 39
VL  - 323
DO  - 10.1007/978-3-030-86009-7_3
ER  - 

@conference{
author = "Trivković, Zorana and Svorcan, Jelena and Baltić, Marija and Zorić, Nemanja and Peković, Ognjen",
year = "2022",
abstract = "Vertical-axis wind turbines, despite being somewhat uncommon and less efficient renewable energy converters, still offer many advantages to small consumers and possibilities for further improvement. Their rotor is usually made up of fiber-glass composite blades that can be optimized both aerodynamically and/or structurally. Although the aerodynamics of vertical-axis wind turbine rotors is unsteady, complex and challenging to simulate, it is possible to make a sufficiently accurate estimation of variable aerodynamic loads acting on the blade and use them for its structural dimensioning. This research combines a multi-objective constrained optimization procedure by particle swarm and finite element method with experimental analyses with the purpose of defining the best blade, i.e. the blade of minimal mass, least tip deflection under the loading case corresponding to the aerodynamically most demanding operational regime, greatest difference between its natural frequencies and rated rotor angular frequency, lowest manufacturing cost and complexity, etc. Imposed constraints also include acceptable failure criteria along the blade. Design variables refer to ply lay-up scheme, i.e. lamina thicknesses and orientations. Final solution, chosen from the obtained Pareto set, was manufactured and experimentally validated. The consistency of strains, measured in several different cases of bending, and corresponding numerical values was mostly below 8%. The study demonstrates the applicability of the employed multi-objective optimization methodology in wind turbine blade design. It also proposes an affordable and structurally reliable composite lay-up scheme specifically designed for small-scale vertical-axis wind turbines.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "Lecture Notes in Networks and Systems",
title = "Multi-objective optimization and experimental testing of a laminated vertical-axis wind turbine blade",
pages = "65-39",
volume = "323",
doi = "10.1007/978-3-030-86009-7_3"
}

Trivković, Z., Svorcan, J., Baltić, M., Zorić, N.,& Peković, O.. (2022). Multi-objective optimization and experimental testing of a laminated vertical-axis wind turbine blade. in Lecture Notes in Networks and Systems
Springer Science and Business Media Deutschland GmbH., 323, 39-65.
https://doi.org/10.1007/978-3-030-86009-7_3

Trivković Z, Svorcan J, Baltić M, Zorić N, Peković O. Multi-objective optimization and experimental testing of a laminated vertical-axis wind turbine blade. in Lecture Notes in Networks and Systems. 2022;323:39-65.
doi:10.1007/978-3-030-86009-7_3 .

Trivković, Zorana, Svorcan, Jelena, Baltić, Marija, Zorić, Nemanja, Peković, Ognjen, "Multi-objective optimization and experimental testing of a laminated vertical-axis wind turbine blade" in Lecture Notes in Networks and Systems, 323 (2022):39-65,
https://doi.org/10.1007/978-3-030-86009-7_3 . .

TY  - JOUR
AU  - Misović, Aleksandra
AU  - Bajuk-Bogdanović, Danica
AU  - Kepić, Dejan
AU  - Pavlović, Vladimir B.
AU  - Huskić, Miroslav
AU  - Hasheminejad, Navid
AU  - Vuye, Cedric
AU  - Zorić, Nemanja
AU  - Jovanović, Svetlana
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3758
AB  - The need for stable, chemical resistant and conductive materials is on the rise in recent times. Graphene shows promising electrical conductivity and chemical stability, but the production of a continual, conductive layer is limited and expensive. Silver nanowires (AgNWs) are both conducive and economically viable, but they are sensitive to water and oxygen. In this study, graphene oxide (GO) and AgNWs were synthesized and combined in different mass ratios (3:1, 2.5:1.5, and 1:1) to obtain chemically stable composites with improved electrical properties. Composites were reduced using ascorbic acid. With the increase of AgNWs to GO mass ratio, the surface of the free-standing composite film improved: the root mean square roughness was lowered from 376 nm for GO to 168 nm for the composite with the mass ratio of GO:AgNWs 1:1, while the sheet resistance was lowered from 146 x 10(6) Omega/square to 4 Omega/square. For the first time, the effects of gamma irradiation on the structure of the composites were studied. Doses of 15, 25, and 35 kGy were applied.
PB  - Elsevier Science Sa, Lausanne
T2  - Synthetic Metals
T1  - Properties of free-standing graphene oxide/silver nanowires films and effects of chemical reduction and gamma irradiation
VL  - 283
DO  - 10.1016/j.synthmet.2021.116980
ER  - 

@article{
author = "Misović, Aleksandra and Bajuk-Bogdanović, Danica and Kepić, Dejan and Pavlović, Vladimir B. and Huskić, Miroslav and Hasheminejad, Navid and Vuye, Cedric and Zorić, Nemanja and Jovanović, Svetlana",
year = "2022",
abstract = "The need for stable, chemical resistant and conductive materials is on the rise in recent times. Graphene shows promising electrical conductivity and chemical stability, but the production of a continual, conductive layer is limited and expensive. Silver nanowires (AgNWs) are both conducive and economically viable, but they are sensitive to water and oxygen. In this study, graphene oxide (GO) and AgNWs were synthesized and combined in different mass ratios (3:1, 2.5:1.5, and 1:1) to obtain chemically stable composites with improved electrical properties. Composites were reduced using ascorbic acid. With the increase of AgNWs to GO mass ratio, the surface of the free-standing composite film improved: the root mean square roughness was lowered from 376 nm for GO to 168 nm for the composite with the mass ratio of GO:AgNWs 1:1, while the sheet resistance was lowered from 146 x 10(6) Omega/square to 4 Omega/square. For the first time, the effects of gamma irradiation on the structure of the composites were studied. Doses of 15, 25, and 35 kGy were applied.",
publisher = "Elsevier Science Sa, Lausanne",
journal = "Synthetic Metals",
title = "Properties of free-standing graphene oxide/silver nanowires films and effects of chemical reduction and gamma irradiation",
volume = "283",
doi = "10.1016/j.synthmet.2021.116980"
}

Misović, A., Bajuk-Bogdanović, D., Kepić, D., Pavlović, V. B., Huskić, M., Hasheminejad, N., Vuye, C., Zorić, N.,& Jovanović, S.. (2022). Properties of free-standing graphene oxide/silver nanowires films and effects of chemical reduction and gamma irradiation. in Synthetic Metals
Elsevier Science Sa, Lausanne., 283.
https://doi.org/10.1016/j.synthmet.2021.116980

Misović A, Bajuk-Bogdanović D, Kepić D, Pavlović VB, Huskić M, Hasheminejad N, Vuye C, Zorić N, Jovanović S. Properties of free-standing graphene oxide/silver nanowires films and effects of chemical reduction and gamma irradiation. in Synthetic Metals. 2022;283.
doi:10.1016/j.synthmet.2021.116980 .

Misović, Aleksandra, Bajuk-Bogdanović, Danica, Kepić, Dejan, Pavlović, Vladimir B., Huskić, Miroslav, Hasheminejad, Navid, Vuye, Cedric, Zorić, Nemanja, Jovanović, Svetlana, "Properties of free-standing graphene oxide/silver nanowires films and effects of chemical reduction and gamma irradiation" in Synthetic Metals, 283 (2022),
https://doi.org/10.1016/j.synthmet.2021.116980 . .

TY  - CONF
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Zorić, Nemanja
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3984
AB  - Shape optimization of an AFG Timoshenko cantilever beam of a variable cross-sectional
area, with a specified fundamental frequency, is considered. The cantilever beam has a finitedimensional
body placed eccentrically at the right end. Optimization is performed in terms of
beam mass minimization. Considerations involve the case of coupled axial and bending
oscillations, where contour conditions are the cause of coupling, which exist at the place of
junction between the cantilever beam and the body. The problem is solved applying Pontryagin’s
maximum principle, with the beam cross-sectional area being taken for control. The two-point
boundary value problem is obtained, and the shooting method is applied to solving it. The
property of self-adjoint systems is employed, where all costate variables are expressed by state
variables, which facilitates solving the appropriate differential equations. Also, the percent saving
of the beam mass is determined, achieved by using the cantilever beam of an optimum variable
square cross-section compared to the cantilever beam of a constant cross-section at specified
value of the fundamental frequency.
PB  - Beograd : Srpsko društvo za mehaniku
C3  - Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021
T1  - Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end
EP  - 183
SP  - 176
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3984
ER  - 

@conference{
author = "Obradović, Aleksandar and Mitrović, Zoran and Zorić, Nemanja",
year = "2021",
abstract = "Shape optimization of an AFG Timoshenko cantilever beam of a variable cross-sectional
area, with a specified fundamental frequency, is considered. The cantilever beam has a finitedimensional
body placed eccentrically at the right end. Optimization is performed in terms of
beam mass minimization. Considerations involve the case of coupled axial and bending
oscillations, where contour conditions are the cause of coupling, which exist at the place of
junction between the cantilever beam and the body. The problem is solved applying Pontryagin’s
maximum principle, with the beam cross-sectional area being taken for control. The two-point
boundary value problem is obtained, and the shooting method is applied to solving it. The
property of self-adjoint systems is employed, where all costate variables are expressed by state
variables, which facilitates solving the appropriate differential equations. Also, the percent saving
of the beam mass is determined, achieved by using the cantilever beam of an optimum variable
square cross-section compared to the cantilever beam of a constant cross-section at specified
value of the fundamental frequency.",
publisher = "Beograd : Srpsko društvo za mehaniku",
journal = "Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021",
title = "Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end",
pages = "183-176",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3984"
}

Obradović, A., Mitrović, Z.,& Zorić, N.. (2021). Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end. in Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021
Beograd : Srpsko društvo za mehaniku., 176-183.
https://hdl.handle.net/21.15107/rcub_machinery_3984

Obradović A, Mitrović Z, Zorić N. Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end. in Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021. 2021;:176-183.
https://hdl.handle.net/21.15107/rcub_machinery_3984 .

Obradović, Aleksandar, Mitrović, Zoran, Zorić, Nemanja, "Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end" in Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021 (2021):176-183,
https://hdl.handle.net/21.15107/rcub_machinery_3984 .

TY  - CONF
AU  - Trivković, Zorana
AU  - Svorcan, Jelena
AU  - Baltić, Marija
AU  - Zorić, Nemanja
AU  - Peković, Ognjen
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4258
AB  - Although less efficient than their horizontal-axis counterparts, vertical-axis wind turbines (VAWTs) present an interesting research topic as well as a renewable energy converter with lots of potential for application in both urban and secluded rural environments. This is mostly due to the fact that lift-type VAWTs require lower cut-in speeds, can operate in variable wind profiles, and produce low-level noise. Particularly interesting are small-scale machines that operate in low Reynolds numbers where viscosity effects are particularly noticeable.
The design of a small-scale composite vertical-axis wind turbine blade comprises several steps. First, the blade should be modelled and the expected aerodynamic loads should be estimated with sufficient accuracy. Secondly, structural analysis of its composite elements should be performed for various load cases (including conjugate aerodynamic, inertial, and gravitational loads at different wind speeds and/or wind turbine rotor angular velocities). Finally, manufacturing technology should be defined and the blade should be manufactured as well as experimentally tested so that the starting computational models can be assessed and validated.
The goal of the presented research study is to conduct a complete design process of a small-scale VAWT blade. Aerodynamic loads are numerically estimated by the finite volume method, while structural analysis of the blade is performed by the finite element method. Additionally, the lay-up sequence of the blade inner composite structure is optimized by the particle swarm method. In the end, the designed blade is produced by a wet lay-up manufacturing process. The consistency of strains, measured in several different cases of blade bending, and corresponding numerical values were mostly below 8% which justifies the adopted design procedure.
PB  - Belgrade : Innovation Center of Faculty of Mechanical Engineering
C3  - The Book of Abstracts - International Conference of Experimental and Numerical Investigations and New Technologies CNN TECH
T1  - Design of small-scale composite vertical-axis wind turbine blade
SP  - 68
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4258
ER  - 

@conference{
author = "Trivković, Zorana and Svorcan, Jelena and Baltić, Marija and Zorić, Nemanja and Peković, Ognjen",
year = "2021",
abstract = "Although less efficient than their horizontal-axis counterparts, vertical-axis wind turbines (VAWTs) present an interesting research topic as well as a renewable energy converter with lots of potential for application in both urban and secluded rural environments. This is mostly due to the fact that lift-type VAWTs require lower cut-in speeds, can operate in variable wind profiles, and produce low-level noise. Particularly interesting are small-scale machines that operate in low Reynolds numbers where viscosity effects are particularly noticeable.
The design of a small-scale composite vertical-axis wind turbine blade comprises several steps. First, the blade should be modelled and the expected aerodynamic loads should be estimated with sufficient accuracy. Secondly, structural analysis of its composite elements should be performed for various load cases (including conjugate aerodynamic, inertial, and gravitational loads at different wind speeds and/or wind turbine rotor angular velocities). Finally, manufacturing technology should be defined and the blade should be manufactured as well as experimentally tested so that the starting computational models can be assessed and validated.
The goal of the presented research study is to conduct a complete design process of a small-scale VAWT blade. Aerodynamic loads are numerically estimated by the finite volume method, while structural analysis of the blade is performed by the finite element method. Additionally, the lay-up sequence of the blade inner composite structure is optimized by the particle swarm method. In the end, the designed blade is produced by a wet lay-up manufacturing process. The consistency of strains, measured in several different cases of blade bending, and corresponding numerical values were mostly below 8% which justifies the adopted design procedure.",
publisher = "Belgrade : Innovation Center of Faculty of Mechanical Engineering",
journal = "The Book of Abstracts - International Conference of Experimental and Numerical Investigations and New Technologies CNN TECH",
title = "Design of small-scale composite vertical-axis wind turbine blade",
pages = "68",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4258"
}

Trivković, Z., Svorcan, J., Baltić, M., Zorić, N.,& Peković, O.. (2021). Design of small-scale composite vertical-axis wind turbine blade. in The Book of Abstracts - International Conference of Experimental and Numerical Investigations and New Technologies CNN TECH
Belgrade : Innovation Center of Faculty of Mechanical Engineering., 68.
https://hdl.handle.net/21.15107/rcub_machinery_4258

Trivković Z, Svorcan J, Baltić M, Zorić N, Peković O. Design of small-scale composite vertical-axis wind turbine blade. in The Book of Abstracts - International Conference of Experimental and Numerical Investigations and New Technologies CNN TECH. 2021;:68.
https://hdl.handle.net/21.15107/rcub_machinery_4258 .

Trivković, Zorana, Svorcan, Jelena, Baltić, Marija, Zorić, Nemanja, Peković, Ognjen, "Design of small-scale composite vertical-axis wind turbine blade" in The Book of Abstracts - International Conference of Experimental and Numerical Investigations and New Technologies CNN TECH (2021):68,
https://hdl.handle.net/21.15107/rcub_machinery_4258 .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Jazarević, Vladimir
AU  - Obradović, Aleksandar
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3994
AB  - This paper presents the design of a thrust controller for a single-shaft turbofan engine at the
operation point defined with following parameters: altitude = 0, Mach number = 0, angle of attack
= 0. In that case, the dynamics of the engine depends only of the shaft angular velocity.
Mathematical model for controller synthesis is obtained by solution of the set of nonlinear
equations. Due to complexity of the engine, parameter uncertainties and exposure to various
disturbances during exploitation, the H∞ methodology for controller synthesis is applied. Since H∞
based controller presents linear controller, it requires linear model of the plant for synthesis. Due
to that, the plant needs to be linearized. From nonlinear simulation, the 1st order transfer functions
can be obtained for selected intervals of shaft angular velocities. For controller synthesis, the fuel
supply system is also included as the 1st order transfer function. Since obtained controllers present
higher order controllers which may not be feasible for a real-time implementation because of
hardware limitations, they are reduced to proportional-integral (PI) controllers by using the
balanced reduction. Obtained controllers are then combined via gain-scheduling approach and
simulation is performed.
PB  - Beograd : Srpsko društvo za mehaniku
C3  - 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021
T1  - H∞ Proportional-Integral Control of a Turbofan Engine
EP  - 315
SP  - 306
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3994
ER  - 

@conference{
author = "Zorić, Nemanja and Jazarević, Vladimir and Obradović, Aleksandar",
year = "2021",
abstract = "This paper presents the design of a thrust controller for a single-shaft turbofan engine at the
operation point defined with following parameters: altitude = 0, Mach number = 0, angle of attack
= 0. In that case, the dynamics of the engine depends only of the shaft angular velocity.
Mathematical model for controller synthesis is obtained by solution of the set of nonlinear
equations. Due to complexity of the engine, parameter uncertainties and exposure to various
disturbances during exploitation, the H∞ methodology for controller synthesis is applied. Since H∞
based controller presents linear controller, it requires linear model of the plant for synthesis. Due
to that, the plant needs to be linearized. From nonlinear simulation, the 1st order transfer functions
can be obtained for selected intervals of shaft angular velocities. For controller synthesis, the fuel
supply system is also included as the 1st order transfer function. Since obtained controllers present
higher order controllers which may not be feasible for a real-time implementation because of
hardware limitations, they are reduced to proportional-integral (PI) controllers by using the
balanced reduction. Obtained controllers are then combined via gain-scheduling approach and
simulation is performed.",
publisher = "Beograd : Srpsko društvo za mehaniku",
journal = "8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021",
title = "H∞ Proportional-Integral Control of a Turbofan Engine",
pages = "315-306",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3994"
}

Zorić, N., Jazarević, V.,& Obradović, A.. (2021). H∞ Proportional-Integral Control of a Turbofan Engine. in 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021
Beograd : Srpsko društvo za mehaniku., 306-315.
https://hdl.handle.net/21.15107/rcub_machinery_3994

Zorić N, Jazarević V, Obradović A. H∞ Proportional-Integral Control of a Turbofan Engine. in 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021. 2021;:306-315.
https://hdl.handle.net/21.15107/rcub_machinery_3994 .

Zorić, Nemanja, Jazarević, Vladimir, Obradović, Aleksandar, "H∞ Proportional-Integral Control of a Turbofan Engine" in 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021 (2021):306-315,
https://hdl.handle.net/21.15107/rcub_machinery_3994 .

TY  - CONF
AU  - Milić, Milica
AU  - Svorcan, Jelena
AU  - Zorić, Nemanja
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4026
AB  - Winglet is an additional surface in a form of vertical or horizontal extension of the wing. The shape of winglet changed during the development period and depending on the type of aircraft on which they were installed. Due to its benefits and influence on aircraft performance during the flight, the standard end of wing has been replaced by new configurations. The geometry of the winglet depends on the required performance and is unique in each application. The angle (or edge) of the winglet, its inner or outer angle, and its size and shape are critical parameters for wing performance. Winglets can increase the range and reduce fuel consumption. With split winglets, the expected reduction in fuel consumption is up to 1.5 %. This type of additional surface on the wing increases the effective aspect ratio of the wing without increasing the structural load. This paper investigates the performance of the wing with and without the split winglets and constant airfoil b737c-il at angles of attack (0, 10o and 20o), at the speed of 0.8 Mach. Wing model was designed in CATIA P3 V5 software package. The aerodynamic drag and lift coefficients CD and CL, as well as their change with the angle of attack, were obtained by finite volume method (FVM) in ANSYS Fluent software.
PB  - Belgrade : Military Technical Institute
C3  - 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Belgrade, Serbia
T1  - Numerical Simulation of Aerodynamic Performance of Wing with Split Winglets
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4026
ER  - 

@conference{
author = "Milić, Milica and Svorcan, Jelena and Zorić, Nemanja",
year = "2020",
abstract = "Winglet is an additional surface in a form of vertical or horizontal extension of the wing. The shape of winglet changed during the development period and depending on the type of aircraft on which they were installed. Due to its benefits and influence on aircraft performance during the flight, the standard end of wing has been replaced by new configurations. The geometry of the winglet depends on the required performance and is unique in each application. The angle (or edge) of the winglet, its inner or outer angle, and its size and shape are critical parameters for wing performance. Winglets can increase the range and reduce fuel consumption. With split winglets, the expected reduction in fuel consumption is up to 1.5 %. This type of additional surface on the wing increases the effective aspect ratio of the wing without increasing the structural load. This paper investigates the performance of the wing with and without the split winglets and constant airfoil b737c-il at angles of attack (0, 10o and 20o), at the speed of 0.8 Mach. Wing model was designed in CATIA P3 V5 software package. The aerodynamic drag and lift coefficients CD and CL, as well as their change with the angle of attack, were obtained by finite volume method (FVM) in ANSYS Fluent software.",
publisher = "Belgrade : Military Technical Institute",
journal = "9th International Scientific Conference on Defensive Technologies (OTEH 2020), Belgrade, Serbia",
title = "Numerical Simulation of Aerodynamic Performance of Wing with Split Winglets",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4026"
}

Milić, M., Svorcan, J.,& Zorić, N.. (2020). Numerical Simulation of Aerodynamic Performance of Wing with Split Winglets. in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Belgrade, Serbia
Belgrade : Military Technical Institute..
https://hdl.handle.net/21.15107/rcub_machinery_4026

Milić M, Svorcan J, Zorić N. Numerical Simulation of Aerodynamic Performance of Wing with Split Winglets. in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Belgrade, Serbia. 2020;.
https://hdl.handle.net/21.15107/rcub_machinery_4026 .

Milić, Milica, Svorcan, Jelena, Zorić, Nemanja, "Numerical Simulation of Aerodynamic Performance of Wing with Split Winglets" in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Belgrade, Serbia (2020),
https://hdl.handle.net/21.15107/rcub_machinery_4026 .

TY  - JOUR
AU  - Zorić, Nemanja
AU  - Radulović, Radoslav
AU  - Jazarević, Vladimir
AU  - Petrović, Trajko B.
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3263
AB  - This paper presents the design of a thrust controller for a ramjet engine. The mathematical model for controller synthesis is based on a numerical solution of a set of nonlinear equations. Transfer functions of the engine are found for certain operation points defined by the altitude, Mach number and angle of attack. Local controllers are developed by using H-infinity control methodology, finally reduced to proportional-integral (PI) controllers. For gain scheduling, linear interpolation of parameters of the local PI controllers is used. Next, simulations are performed in order to show performances of the presented control algorithm.
PB  - Polish Soc Theoretical & Applied Mechanics, Warszawa
T2  - Journal of Theoretical and Applied Mechanics
T1  - Design of h-infinity proportional-integral thrust controller for ramjet engine
EP  - 1007
IS  - 4
SP  - 997
VL  - 58
DO  - 10.15632/jtam-pl/126664
ER  - 

@article{
author = "Zorić, Nemanja and Radulović, Radoslav and Jazarević, Vladimir and Petrović, Trajko B.",
year = "2020",
abstract = "This paper presents the design of a thrust controller for a ramjet engine. The mathematical model for controller synthesis is based on a numerical solution of a set of nonlinear equations. Transfer functions of the engine are found for certain operation points defined by the altitude, Mach number and angle of attack. Local controllers are developed by using H-infinity control methodology, finally reduced to proportional-integral (PI) controllers. For gain scheduling, linear interpolation of parameters of the local PI controllers is used. Next, simulations are performed in order to show performances of the presented control algorithm.",
publisher = "Polish Soc Theoretical & Applied Mechanics, Warszawa",
journal = "Journal of Theoretical and Applied Mechanics",
title = "Design of h-infinity proportional-integral thrust controller for ramjet engine",
pages = "1007-997",
number = "4",
volume = "58",
doi = "10.15632/jtam-pl/126664"
}

Zorić, N., Radulović, R., Jazarević, V.,& Petrović, T. B.. (2020). Design of h-infinity proportional-integral thrust controller for ramjet engine. in Journal of Theoretical and Applied Mechanics
Polish Soc Theoretical & Applied Mechanics, Warszawa., 58(4), 997-1007.
https://doi.org/10.15632/jtam-pl/126664

Zorić N, Radulović R, Jazarević V, Petrović TB. Design of h-infinity proportional-integral thrust controller for ramjet engine. in Journal of Theoretical and Applied Mechanics. 2020;58(4):997-1007.
doi:10.15632/jtam-pl/126664 .

Zorić, Nemanja, Radulović, Radoslav, Jazarević, Vladimir, Petrović, Trajko B., "Design of h-infinity proportional-integral thrust controller for ramjet engine" in Journal of Theoretical and Applied Mechanics, 58, no. 4 (2020):997-1007,
https://doi.org/10.15632/jtam-pl/126664 . .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Radulović, Radoslav
AU  - Jazarević, Vladimir
AU  - Mitrović, Zoran
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3991
AB  - Ramjet engine presents the simplest type of jet engines since it does not possess moving parts, like
compressors, shafts and turbines. Besides its simplicity, it provides efficient performances in a wide range of altitudes,
supersonic speeds and angles of attack. In order to provide desirable performances during exploitations, a ramjet
engine must be operated by means of feedback control. This paper presents the design of robust H∞ controller for thrust
controller of the ramjet engine. Linear model of the engine is obtained by numerical solution of nonlinear equations
which describe processes in the engine. This model is found for operation points in the operational envelop, defined by
a single altitude, a single Mach number and a single angle of attack. The thrust controller is developed by using the H∞
control methodology for single representative operation point. After that, obtained controller is reduced to the PI
controller and its performances are compared with performances of the full order controller. Also, these controllers are
applied to other operation points which closed-lop performances are then compared. The analysis of necessity for the
gain scheduling implementation is performed.
PB  - Belgrade : Military Technical Institute
C3  - 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020
T1  - H∞ Robust Control of Ramjet Engine
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3991
ER  - 

@conference{
author = "Zorić, Nemanja and Radulović, Radoslav and Jazarević, Vladimir and Mitrović, Zoran",
year = "2020",
abstract = "Ramjet engine presents the simplest type of jet engines since it does not possess moving parts, like
compressors, shafts and turbines. Besides its simplicity, it provides efficient performances in a wide range of altitudes,
supersonic speeds and angles of attack. In order to provide desirable performances during exploitations, a ramjet
engine must be operated by means of feedback control. This paper presents the design of robust H∞ controller for thrust
controller of the ramjet engine. Linear model of the engine is obtained by numerical solution of nonlinear equations
which describe processes in the engine. This model is found for operation points in the operational envelop, defined by
a single altitude, a single Mach number and a single angle of attack. The thrust controller is developed by using the H∞
control methodology for single representative operation point. After that, obtained controller is reduced to the PI
controller and its performances are compared with performances of the full order controller. Also, these controllers are
applied to other operation points which closed-lop performances are then compared. The analysis of necessity for the
gain scheduling implementation is performed.",
publisher = "Belgrade : Military Technical Institute",
journal = "9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020",
title = "H∞ Robust Control of Ramjet Engine",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3991"
}

Zorić, N., Radulović, R., Jazarević, V.,& Mitrović, Z.. (2020). H∞ Robust Control of Ramjet Engine. in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020
Belgrade : Military Technical Institute..
https://hdl.handle.net/21.15107/rcub_machinery_3991

Zorić N, Radulović R, Jazarević V, Mitrović Z. H∞ Robust Control of Ramjet Engine. in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020. 2020;.
https://hdl.handle.net/21.15107/rcub_machinery_3991 .

Zorić, Nemanja, Radulović, Radoslav, Jazarević, Vladimir, Mitrović, Zoran, "H∞ Robust Control of Ramjet Engine" in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020 (2020),
https://hdl.handle.net/21.15107/rcub_machinery_3991 .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4025
AB  - Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures
and they play an important role in the field of active vibration control, especially in aerospace engineering.
Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional
calculus. The fractional-order model of a smart structure implies the necessity of using fractional order
controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative
(PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder
PD controller is parameterized, and these parameters are found by using of the Particle swarm
optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart
structure is found by experimental identification by using the frequency response method. In order to represent
the efficiency of the proposed controller, obtained results are compared with the corresponding results in the
case when an integer-order PD controller is applied.
C3  - International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020)
T1  - Fractional-order PD control design for active vibration control of smart structures
EP  - 57
SP  - 57
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4025
ER  - 

@conference{
author = "Zorić, Nemanja and Tomović, Aleksandar and Obradović, Aleksandar and Mitrović, Zoran",
year = "2020",
abstract = "Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures
and they play an important role in the field of active vibration control, especially in aerospace engineering.
Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional
calculus. The fractional-order model of a smart structure implies the necessity of using fractional order
controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative
(PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder
PD controller is parameterized, and these parameters are found by using of the Particle swarm
optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart
structure is found by experimental identification by using the frequency response method. In order to represent
the efficiency of the proposed controller, obtained results are compared with the corresponding results in the
case when an integer-order PD controller is applied.",
journal = "International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020)",
title = "Fractional-order PD control design for active vibration control of smart structures",
pages = "57-57",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4025"
}

Zorić, N., Tomović, A., Obradović, A.,& Mitrović, Z.. (2020). Fractional-order PD control design for active vibration control of smart structures. in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020), 57-57.
https://hdl.handle.net/21.15107/rcub_machinery_4025

Zorić N, Tomović A, Obradović A, Mitrović Z. Fractional-order PD control design for active vibration control of smart structures. in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020). 2020;:57-57.
https://hdl.handle.net/21.15107/rcub_machinery_4025 .

Zorić, Nemanja, Tomović, Aleksandar, Obradović, Aleksandar, Mitrović, Zoran, "Fractional-order PD control design for active vibration control of smart structures" in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020) (2020):57-57,
https://hdl.handle.net/21.15107/rcub_machinery_4025 .

TY  - JOUR
AU  - Jeremić, Bojan
AU  - Radulović, Radoslav
AU  - Zorić, Nemanja
AU  - Dražić, Milan
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2997
AB  - The paper considers realization of the brachistochronic motion of a nonholonomic mechanical system, composed of variable mass particles, by means of an ideal holonomic constraint with restricted reaction. It is assumed that the system performs planar motion in an arbitrary field of forces and that it has two degrees of freedom. In addition, the laws of the time-rate of mass variation of the particles, as well as relative velocities of the expelled and gained particles, respectively, are known. Restricted reaction of the holonomic constraint is taken for the scalar control. Applying Pontryagin's maximum principle and singular optimal control theory, the problem of brachistochronic motion is solved as a two-point boundary value problem (TPBVP). Since the reaction of the constraint is restricted, different types of control structures are examined, from singular to totally nonsingular. The considerations are illustrated via an example.
PB  - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
T2  - Filomat
T1  - Realizing Brachistochronic Planar Motion of a Variable Mass Nonholonomic Mechanical System by an Ideal Holonomic Constraint with Restricted Reaction
EP  - 4401
IS  - 14
SP  - 4387
VL  - 33
DO  - 10.2298/FIL1914387J
ER  - 

@article{
author = "Jeremić, Bojan and Radulović, Radoslav and Zorić, Nemanja and Dražić, Milan",
year = "2019",
abstract = "The paper considers realization of the brachistochronic motion of a nonholonomic mechanical system, composed of variable mass particles, by means of an ideal holonomic constraint with restricted reaction. It is assumed that the system performs planar motion in an arbitrary field of forces and that it has two degrees of freedom. In addition, the laws of the time-rate of mass variation of the particles, as well as relative velocities of the expelled and gained particles, respectively, are known. Restricted reaction of the holonomic constraint is taken for the scalar control. Applying Pontryagin's maximum principle and singular optimal control theory, the problem of brachistochronic motion is solved as a two-point boundary value problem (TPBVP). Since the reaction of the constraint is restricted, different types of control structures are examined, from singular to totally nonsingular. The considerations are illustrated via an example.",
publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš",
journal = "Filomat",
title = "Realizing Brachistochronic Planar Motion of a Variable Mass Nonholonomic Mechanical System by an Ideal Holonomic Constraint with Restricted Reaction",
pages = "4401-4387",
number = "14",
volume = "33",
doi = "10.2298/FIL1914387J"
}

Jeremić, B., Radulović, R., Zorić, N.,& Dražić, M.. (2019). Realizing Brachistochronic Planar Motion of a Variable Mass Nonholonomic Mechanical System by an Ideal Holonomic Constraint with Restricted Reaction. in Filomat
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 33(14), 4387-4401.
https://doi.org/10.2298/FIL1914387J

Jeremić B, Radulović R, Zorić N, Dražić M. Realizing Brachistochronic Planar Motion of a Variable Mass Nonholonomic Mechanical System by an Ideal Holonomic Constraint with Restricted Reaction. in Filomat. 2019;33(14):4387-4401.
doi:10.2298/FIL1914387J .

Jeremić, Bojan, Radulović, Radoslav, Zorić, Nemanja, Dražić, Milan, "Realizing Brachistochronic Planar Motion of a Variable Mass Nonholonomic Mechanical System by an Ideal Holonomic Constraint with Restricted Reaction" in Filomat, 33, no. 14 (2019):4387-4401,
https://doi.org/10.2298/FIL1914387J . .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Radulović, Radoslav
AU  - Jazarević, Vladimir
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3985
AB  - During last years, along with development of electric propulsion systems, developments of
multi-rotor unmanned aerial vehicles (UAV) are pushed strongly. The main benefits of this
concept of UAV over standard helicopters are mechanical simplicity, decoupled dynamics and
cheaper manufacturing, especially in small dimensions. On the other side, multi-rotor vehicles are
less efficiency than fixed-wing vehicles, especially for long-distance flight. The traditional fixedwing
UAVs can fly for long distances, but they require runways for take-off and landing. By
combining vertical take-off and landing (VTOL) capabilities of multi-rotor vehicles and energy
efficient long-distance flight of fixed wing vehicles, new type of UAVs is involved: VTOL UAV.
This paper presents development of small electric powered fixed-wing VTOL UAV. This aircraft
is the part of the project of large hybrid VTOL UAV by company EDePro and it is intended to be
technology demonstration model and platform for testing VTOL and transition capabilities as
well as autopilot and other systems and subsystems development.
C3  - 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26 2019
T1  - Development of Small Electric Fixed-Wing VTOL UAV
SP  - 1/I1e
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3985
ER  - 

@conference{
author = "Zorić, Nemanja and Radulović, Radoslav and Jazarević, Vladimir",
year = "2019",
abstract = "During last years, along with development of electric propulsion systems, developments of
multi-rotor unmanned aerial vehicles (UAV) are pushed strongly. The main benefits of this
concept of UAV over standard helicopters are mechanical simplicity, decoupled dynamics and
cheaper manufacturing, especially in small dimensions. On the other side, multi-rotor vehicles are
less efficiency than fixed-wing vehicles, especially for long-distance flight. The traditional fixedwing
UAVs can fly for long distances, but they require runways for take-off and landing. By
combining vertical take-off and landing (VTOL) capabilities of multi-rotor vehicles and energy
efficient long-distance flight of fixed wing vehicles, new type of UAVs is involved: VTOL UAV.
This paper presents development of small electric powered fixed-wing VTOL UAV. This aircraft
is the part of the project of large hybrid VTOL UAV by company EDePro and it is intended to be
technology demonstration model and platform for testing VTOL and transition capabilities as
well as autopilot and other systems and subsystems development.",
journal = "7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26 2019",
title = "Development of Small Electric Fixed-Wing VTOL UAV",
pages = "1/I1e",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3985"
}

Zorić, N., Radulović, R.,& Jazarević, V.. (2019). Development of Small Electric Fixed-Wing VTOL UAV. in 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26 2019, 1/I1e.
https://hdl.handle.net/21.15107/rcub_machinery_3985

Zorić N, Radulović R, Jazarević V. Development of Small Electric Fixed-Wing VTOL UAV. in 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26 2019. 2019;:1/I1e.
https://hdl.handle.net/21.15107/rcub_machinery_3985 .

Zorić, Nemanja, Radulović, Radoslav, Jazarević, Vladimir, "Development of Small Electric Fixed-Wing VTOL UAV" in 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26 2019 (2019):1/I1e,
https://hdl.handle.net/21.15107/rcub_machinery_3985 .

TY  - CONF
AU  - Zorić, Nemanja
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3981
AB  - The design process of a smart structure for active vibration control involves integration of
actuators, sensors, signal conditioning systems and controllers into a flexible structure. These
components should be chosen and integrated in such way that obtained smart structure
presents functional system. This paper describes procedure of selection and integration of
piezoelectric actuators, sensors, signal conditioning system and piezoelectric actuator driver
into cantilever aluminum beam in order to achieve desired performances for active vibration
control. Signal conditioning from strain gauges and piezoelectric sensors is explained. Also,
experimental system identification is performed. According to the experimental data, integer
order and fractional-order transfer functions are obtained in order to show if fractional-order
model better describes such system than integer order model. Although presented procedure
implies ideal flexible structure model like cantilever beam, it is also suitable for application
in active vibration control of real flexible structures, like aircraft wing, robotic manipulator,
wind turbine blade, helicopter blade etc.
PB  - Belgrade : Serbian Society of Mechanics
C3  - 7th Int. Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019
T1  - Integration and Identification of Active Vibration Control System for Smart Flexible Structures
EP  - 73
SP  - 54
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3981
ER  - 

@conference{
author = "Zorić, Nemanja",
year = "2019",
abstract = "The design process of a smart structure for active vibration control involves integration of
actuators, sensors, signal conditioning systems and controllers into a flexible structure. These
components should be chosen and integrated in such way that obtained smart structure
presents functional system. This paper describes procedure of selection and integration of
piezoelectric actuators, sensors, signal conditioning system and piezoelectric actuator driver
into cantilever aluminum beam in order to achieve desired performances for active vibration
control. Signal conditioning from strain gauges and piezoelectric sensors is explained. Also,
experimental system identification is performed. According to the experimental data, integer
order and fractional-order transfer functions are obtained in order to show if fractional-order
model better describes such system than integer order model. Although presented procedure
implies ideal flexible structure model like cantilever beam, it is also suitable for application
in active vibration control of real flexible structures, like aircraft wing, robotic manipulator,
wind turbine blade, helicopter blade etc.",
publisher = "Belgrade : Serbian Society of Mechanics",
journal = "7th Int. Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019",
title = "Integration and Identification of Active Vibration Control System for Smart Flexible Structures",
pages = "73-54",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3981"
}

Zorić, N.. (2019). Integration and Identification of Active Vibration Control System for Smart Flexible Structures. in 7th Int. Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019
Belgrade : Serbian Society of Mechanics., 54-73.
https://hdl.handle.net/21.15107/rcub_machinery_3981

Zorić N. Integration and Identification of Active Vibration Control System for Smart Flexible Structures. in 7th Int. Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019. 2019;:54-73.
https://hdl.handle.net/21.15107/rcub_machinery_3981 .

Zorić, Nemanja, "Integration and Identification of Active Vibration Control System for Smart Flexible Structures" in 7th Int. Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019 (2019):54-73,
https://hdl.handle.net/21.15107/rcub_machinery_3981 .

TY  - JOUR
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Obradović, Aleksandar
AU  - Radulović, Radoslav
AU  - Petrović, Goran R.
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4325
AB  - This paper deals with optimization of the sizing, location and orientation of the piezo-fiber reinforced composite (PFRC) actuators and active vibration control of the smart composite plates using particle-swarm optimized self-tuning fuzzy logic controller. The optimization criteria for optimal sizing, location and orientation of the PFRC actuators is based on the Gramian controllability matrix and the optimization process is performed by involving the limitation of the plates masses increase. Optimal configurations of five PFRC actuators for active vibration control of the first six modes of cantilever symmetric ((90 degrees/0 degrees/90 degrees/0 degrees)s), antisymmetric cross-ply ((90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees)) and antisymmetric angle-ply ((45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees)) composite plates are found using the particle swarm optimization. The detailed analysis of influences of the PFRC layer orientation and position (top or bottom side of composite plates), as well as bending-extension coupling of antisymmetric laminates on controllabilities is also performed. The experimental study is performed in order to validate this behavior on controllabilities of antisymmetric laminates. The particle swarm-optimized self-tuning fuzzy logic controller (FLC) adapted for the multiple-input multiple-output (MIMO) control is implemented for active vibration suppression of the plates. The membership functions as well as output matrices are optimized using the particle swarm optimization. The Mamdani and the zero-order Takagi-Sugeno-Kang fuzzy inference methods are employed and their performances are examined and compared. In order to represent the efficiency of the proposed controller, results obtained using the proposed particle swarm optimized self-tuning FLC are compared with the corresponding results in the case of the linear quadratic regulator (LQR) optimal control strategy.
PB  - Academic Press Ltd- Elsevier Science Ltd, London
T2  - Journal of Sound and Vibration
T1  - Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators
EP  - 198
SP  - 173
VL  - 456
DO  - 10.1016/j.jsv.2019.05.035
ER  - 

@article{
author = "Zorić, Nemanja and Tomović, Aleksandar and Obradović, Aleksandar and Radulović, Radoslav and Petrović, Goran R.",
year = "2019",
abstract = "This paper deals with optimization of the sizing, location and orientation of the piezo-fiber reinforced composite (PFRC) actuators and active vibration control of the smart composite plates using particle-swarm optimized self-tuning fuzzy logic controller. The optimization criteria for optimal sizing, location and orientation of the PFRC actuators is based on the Gramian controllability matrix and the optimization process is performed by involving the limitation of the plates masses increase. Optimal configurations of five PFRC actuators for active vibration control of the first six modes of cantilever symmetric ((90 degrees/0 degrees/90 degrees/0 degrees)s), antisymmetric cross-ply ((90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees)) and antisymmetric angle-ply ((45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees)) composite plates are found using the particle swarm optimization. The detailed analysis of influences of the PFRC layer orientation and position (top or bottom side of composite plates), as well as bending-extension coupling of antisymmetric laminates on controllabilities is also performed. The experimental study is performed in order to validate this behavior on controllabilities of antisymmetric laminates. The particle swarm-optimized self-tuning fuzzy logic controller (FLC) adapted for the multiple-input multiple-output (MIMO) control is implemented for active vibration suppression of the plates. The membership functions as well as output matrices are optimized using the particle swarm optimization. The Mamdani and the zero-order Takagi-Sugeno-Kang fuzzy inference methods are employed and their performances are examined and compared. In order to represent the efficiency of the proposed controller, results obtained using the proposed particle swarm optimized self-tuning FLC are compared with the corresponding results in the case of the linear quadratic regulator (LQR) optimal control strategy.",
publisher = "Academic Press Ltd- Elsevier Science Ltd, London",
journal = "Journal of Sound and Vibration",
title = "Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators",
pages = "198-173",
volume = "456",
doi = "10.1016/j.jsv.2019.05.035"
}

Zorić, N., Tomović, A., Obradović, A., Radulović, R.,& Petrović, G. R.. (2019). Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators. in Journal of Sound and Vibration
Academic Press Ltd- Elsevier Science Ltd, London., 456, 173-198.
https://doi.org/10.1016/j.jsv.2019.05.035

Zorić N, Tomović A, Obradović A, Radulović R, Petrović GR. Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators. in Journal of Sound and Vibration. 2019;456:173-198.
doi:10.1016/j.jsv.2019.05.035 .

Zorić, Nemanja, Tomović, Aleksandar, Obradović, Aleksandar, Radulović, Radoslav, Petrović, Goran R., "Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators" in Journal of Sound and Vibration, 456 (2019):173-198,
https://doi.org/10.1016/j.jsv.2019.05.035 . .

TY  - JOUR
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Obradović, Aleksandar
AU  - Radulović, Radoslav
AU  - Petrović, Goran R.
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3026
AB  - This paper deals with optimization of the sizing, location and orientation of the piezo-fiber reinforced composite (PFRC) actuators and active vibration control of the smart composite plates using particle-swarm optimized self-tuning fuzzy logic controller. The optimization criteria for optimal sizing, location and orientation of the PFRC actuators is based on the Gramian controllability matrix and the optimization process is performed by involving the limitation of the plates masses increase. Optimal configurations of five PFRC actuators for active vibration control of the first six modes of cantilever symmetric ((90 degrees/0 degrees/90 degrees/0 degrees)s), antisymmetric cross-ply ((90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees)) and antisymmetric angle-ply ((45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees)) composite plates are found using the particle swarm optimization. The detailed analysis of influences of the PFRC layer orientation and position (top or bottom side of composite plates), as well as bending-extension coupling of antisymmetric laminates on controllabilities is also performed. The experimental study is performed in order to validate this behavior on controllabilities of antisymmetric laminates. The particle swarm-optimized self-tuning fuzzy logic controller (FLC) adapted for the multiple-input multiple-output (MIMO) control is implemented for active vibration suppression of the plates. The membership functions as well as output matrices are optimized using the particle swarm optimization. The Mamdani and the zero-order Takagi-Sugeno-Kang fuzzy inference methods are employed and their performances are examined and compared. In order to represent the efficiency of the proposed controller, results obtained using the proposed particle swarm optimized self-tuning FLC are compared with the corresponding results in the case of the linear quadratic regulator (LQR) optimal control strategy.
PB  - Academic Press Ltd- Elsevier Science Ltd, London
T2  - Journal of Sound and Vibration
T1  - Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators
EP  - 198
SP  - 173
VL  - 456
DO  - 10.1016/j.jsv.2019.05.035
ER  - 

@article{
author = "Zorić, Nemanja and Tomović, Aleksandar and Obradović, Aleksandar and Radulović, Radoslav and Petrović, Goran R.",
year = "2019",
abstract = "This paper deals with optimization of the sizing, location and orientation of the piezo-fiber reinforced composite (PFRC) actuators and active vibration control of the smart composite plates using particle-swarm optimized self-tuning fuzzy logic controller. The optimization criteria for optimal sizing, location and orientation of the PFRC actuators is based on the Gramian controllability matrix and the optimization process is performed by involving the limitation of the plates masses increase. Optimal configurations of five PFRC actuators for active vibration control of the first six modes of cantilever symmetric ((90 degrees/0 degrees/90 degrees/0 degrees)s), antisymmetric cross-ply ((90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees/90 degrees/0 degrees)) and antisymmetric angle-ply ((45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees/45 degrees/-45 degrees)) composite plates are found using the particle swarm optimization. The detailed analysis of influences of the PFRC layer orientation and position (top or bottom side of composite plates), as well as bending-extension coupling of antisymmetric laminates on controllabilities is also performed. The experimental study is performed in order to validate this behavior on controllabilities of antisymmetric laminates. The particle swarm-optimized self-tuning fuzzy logic controller (FLC) adapted for the multiple-input multiple-output (MIMO) control is implemented for active vibration suppression of the plates. The membership functions as well as output matrices are optimized using the particle swarm optimization. The Mamdani and the zero-order Takagi-Sugeno-Kang fuzzy inference methods are employed and their performances are examined and compared. In order to represent the efficiency of the proposed controller, results obtained using the proposed particle swarm optimized self-tuning FLC are compared with the corresponding results in the case of the linear quadratic regulator (LQR) optimal control strategy.",
publisher = "Academic Press Ltd- Elsevier Science Ltd, London",
journal = "Journal of Sound and Vibration",
title = "Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators",
pages = "198-173",
volume = "456",
doi = "10.1016/j.jsv.2019.05.035"
}

Zorić, N., Tomović, A., Obradović, A., Radulović, R.,& Petrović, G. R.. (2019). Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators. in Journal of Sound and Vibration
Academic Press Ltd- Elsevier Science Ltd, London., 456, 173-198.
https://doi.org/10.1016/j.jsv.2019.05.035

Zorić N, Tomović A, Obradović A, Radulović R, Petrović GR. Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators. in Journal of Sound and Vibration. 2019;456:173-198.
doi:10.1016/j.jsv.2019.05.035 .

Zorić, Nemanja, Tomović, Aleksandar, Obradović, Aleksandar, Radulović, Radoslav, Petrović, Goran R., "Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators" in Journal of Sound and Vibration, 456 (2019):173-198,
https://doi.org/10.1016/j.jsv.2019.05.035 . .

TY  - JOUR
AU  - Radovanović, Nikola V.
AU  - Zorić, Nemanja
AU  - Trišović, Nataša
AU  - Tomović, Aleksandar
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2591
AB  - Ovaj rad predstavlja analizu slobodnih vibracija struktura sastavljenih od krutih tela međusobno spojenih sa elastičnim gredama. Pretpostavlja se da se centri masa krutih tela ne nalaze na neutralnoj osi nedeformisanog elastičnog grednog segmenta kao i da kruta tela vrše ravno kretanje u istoj ravni i da se njihovi centri masa nalaze u toj istoj ravni. Za određivanje frekvencija sistema, modifikacija klasične 'CTMM' metode je upotrebljena. Elastični gredni segmenti se tretiraju kao Ojler-Bernulijeve grede. Prikazan je numerički primer.
AB  - This article presents free vibration analysis of structures composed of rigid bodies connected with elastic beam segments. It is assumed that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments as well as rigid bodies perform planar motion in the same plane and their mass centers are located in that plane. For determination of natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been performed. The elastic beam segments are treated as Euler-Bernoulli beams. Numerical example is presented.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Analiza slobodnih ravanskih oscilacija struktura sastavljenih od krutih tela i elastičnih grednih segmenata
T1  - Free planar vibration of structures composed of rigid bodies and elastic beam segments
EP  - 102
IS  - 1
SP  - 97
VL  - 45
DO  - 10.5937/fmet1701097R
ER  - 

@article{
author = "Radovanović, Nikola V. and Zorić, Nemanja and Trišović, Nataša and Tomović, Aleksandar",
year = "2017",
abstract = "Ovaj rad predstavlja analizu slobodnih vibracija struktura sastavljenih od krutih tela međusobno spojenih sa elastičnim gredama. Pretpostavlja se da se centri masa krutih tela ne nalaze na neutralnoj osi nedeformisanog elastičnog grednog segmenta kao i da kruta tela vrše ravno kretanje u istoj ravni i da se njihovi centri masa nalaze u toj istoj ravni. Za određivanje frekvencija sistema, modifikacija klasične 'CTMM' metode je upotrebljena. Elastični gredni segmenti se tretiraju kao Ojler-Bernulijeve grede. Prikazan je numerički primer., This article presents free vibration analysis of structures composed of rigid bodies connected with elastic beam segments. It is assumed that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments as well as rigid bodies perform planar motion in the same plane and their mass centers are located in that plane. For determination of natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been performed. The elastic beam segments are treated as Euler-Bernoulli beams. Numerical example is presented.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Analiza slobodnih ravanskih oscilacija struktura sastavljenih od krutih tela i elastičnih grednih segmenata, Free planar vibration of structures composed of rigid bodies and elastic beam segments",
pages = "102-97",
number = "1",
volume = "45",
doi = "10.5937/fmet1701097R"
}

Radovanović, N. V., Zorić, N., Trišović, N.,& Tomović, A.. (2017). Analiza slobodnih ravanskih oscilacija struktura sastavljenih od krutih tela i elastičnih grednih segmenata. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 45(1), 97-102.
https://doi.org/10.5937/fmet1701097R

Radovanović NV, Zorić N, Trišović N, Tomović A. Analiza slobodnih ravanskih oscilacija struktura sastavljenih od krutih tela i elastičnih grednih segmenata. in FME Transactions. 2017;45(1):97-102.
doi:10.5937/fmet1701097R .

Radovanović, Nikola V., Zorić, Nemanja, Trišović, Nataša, Tomović, Aleksandar, "Analiza slobodnih ravanskih oscilacija struktura sastavljenih od krutih tela i elastičnih grednih segmenata" in FME Transactions, 45, no. 1 (2017):97-102,
https://doi.org/10.5937/fmet1701097R . .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Jovanović, Miroslav
AU  - Lukić, Nebojša
AU  - Stokić, Zoran
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4074
AB  - Piezoelectric materials have a wide range of application on the active vibration control of
flexible structures as actuators and sensors due to its inverse and direct piezoelectric effect. In
order to increase performance of active vibration control, piezoelectric fibers are stacked into
single layer composite, making piezoelectric fiber-reinforced composite (PFRC) actuator and
sensor. These actuators and sensors are used for active vibration control of a thin-walled
structures, placing them at the surface of the structure. Since that, control performances depend
on sizes, positions and orientations of PFRC actuators and sensors. The aim of this paper is to
investigate the effect of PFRC actuator orientation and position (top or bottom) on controllability
of cross-ply and angle-ply antisymmetric composite plates for active vibration control. Depending
on layers' orientation, composite laminates possess coupling behavior (bending-stretching,
bending-shear coupling). Since antisymmetric laminates possess bending-stretching coupling
behavior, the effect of this behavior on controllability will be also discussed.
PB  - Serbian Society of Mechanics
C3  - 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, 2017
T1  - Effect of piezoelectric fiber-reinforced composite (PFRC) actuator orientation on controllability of antisymmetric composite plates for active vibration control
IS  - C1a
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4074
ER  - 

@conference{
author = "Zorić, Nemanja and Tomović, Aleksandar and Jovanović, Miroslav and Lukić, Nebojša and Stokić, Zoran",
year = "2017",
abstract = "Piezoelectric materials have a wide range of application on the active vibration control of
flexible structures as actuators and sensors due to its inverse and direct piezoelectric effect. In
order to increase performance of active vibration control, piezoelectric fibers are stacked into
single layer composite, making piezoelectric fiber-reinforced composite (PFRC) actuator and
sensor. These actuators and sensors are used for active vibration control of a thin-walled
structures, placing them at the surface of the structure. Since that, control performances depend
on sizes, positions and orientations of PFRC actuators and sensors. The aim of this paper is to
investigate the effect of PFRC actuator orientation and position (top or bottom) on controllability
of cross-ply and angle-ply antisymmetric composite plates for active vibration control. Depending
on layers' orientation, composite laminates possess coupling behavior (bending-stretching,
bending-shear coupling). Since antisymmetric laminates possess bending-stretching coupling
behavior, the effect of this behavior on controllability will be also discussed.",
publisher = "Serbian Society of Mechanics",
journal = "6th International Congress of Serbian Society of Mechanics, Tara, Serbia, 2017",
title = "Effect of piezoelectric fiber-reinforced composite (PFRC) actuator orientation on controllability of antisymmetric composite plates for active vibration control",
number = "C1a",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4074"
}

Zorić, N., Tomović, A., Jovanović, M., Lukić, N.,& Stokić, Z.. (2017). Effect of piezoelectric fiber-reinforced composite (PFRC) actuator orientation on controllability of antisymmetric composite plates for active vibration control. in 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, 2017
Serbian Society of Mechanics.(C1a).
https://hdl.handle.net/21.15107/rcub_machinery_4074

Zorić N, Tomović A, Jovanović M, Lukić N, Stokić Z. Effect of piezoelectric fiber-reinforced composite (PFRC) actuator orientation on controllability of antisymmetric composite plates for active vibration control. in 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, 2017. 2017;(C1a).
https://hdl.handle.net/21.15107/rcub_machinery_4074 .

Zorić, Nemanja, Tomović, Aleksandar, Jovanović, Miroslav, Lukić, Nebojša, Stokić, Zoran, "Effect of piezoelectric fiber-reinforced composite (PFRC) actuator orientation on controllability of antisymmetric composite plates for active vibration control" in 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, 2017, no. C1a (2017),
https://hdl.handle.net/21.15107/rcub_machinery_4074 .

TY  - CONF
AU  - Jovanović, Miroslav
AU  - Simonović, Aleksandar
AU  - Lukić, Nebojša
AU  - Zorić, Nemanja
AU  - Stupar, Slobodan
AU  - Ilić, Slobodan
PY  - 2016
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4050
AB  - This paper presents experimental determination effectiveness of active vibration control system depending on
sensor location. The active structure consists of an composite beam as the host structure, strain gages as the sensors
and piezoceramic patch as the actuation element. The Wheatstone bridge, sensor platform, is used to measure the strain
of mechanical system which represents the control signal in system. The active vibration control system is controlled by
PID control strategy. Control algorithm was implemented on the PIC32MX440F256H microcontroller platform. For
the experiment two locations for sensor platform are chosen. In order to determine the influence of piezoelectric
ceramic actuator work on sensor (control) signal the tip deflection of beam is measured by high speed camera. The
active vibration control system effectiveness of both sensor and actuator positions are considered. Experimental results
demonstrate that the presented control method is effective for both locations but the stability of the system can be
violated.
PB  - Belgrade : Military Technical Institute
C3  - 7th International Scientific Conference on Defensive Technologies (OTEH 2016), Belgrade, Serbia
T1  - Effectiveness of Active Vibration Control of a Flexible Beam using a Different Position of Strain Gage Sensors
EP  - 360
SP  - 355
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4050
ER  - 

@conference{
author = "Jovanović, Miroslav and Simonović, Aleksandar and Lukić, Nebojša and Zorić, Nemanja and Stupar, Slobodan and Ilić, Slobodan",
year = "2016",
abstract = "This paper presents experimental determination effectiveness of active vibration control system depending on
sensor location. The active structure consists of an composite beam as the host structure, strain gages as the sensors
and piezoceramic patch as the actuation element. The Wheatstone bridge, sensor platform, is used to measure the strain
of mechanical system which represents the control signal in system. The active vibration control system is controlled by
PID control strategy. Control algorithm was implemented on the PIC32MX440F256H microcontroller platform. For
the experiment two locations for sensor platform are chosen. In order to determine the influence of piezoelectric
ceramic actuator work on sensor (control) signal the tip deflection of beam is measured by high speed camera. The
active vibration control system effectiveness of both sensor and actuator positions are considered. Experimental results
demonstrate that the presented control method is effective for both locations but the stability of the system can be
violated.",
publisher = "Belgrade : Military Technical Institute",
journal = "7th International Scientific Conference on Defensive Technologies (OTEH 2016), Belgrade, Serbia",
title = "Effectiveness of Active Vibration Control of a Flexible Beam using a Different Position of Strain Gage Sensors",
pages = "360-355",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4050"
}

Jovanović, M., Simonović, A., Lukić, N., Zorić, N., Stupar, S.,& Ilić, S.. (2016). Effectiveness of Active Vibration Control of a Flexible Beam using a Different Position of Strain Gage Sensors. in 7th International Scientific Conference on Defensive Technologies (OTEH 2016), Belgrade, Serbia
Belgrade : Military Technical Institute., 355-360.
https://hdl.handle.net/21.15107/rcub_machinery_4050

Jovanović M, Simonović A, Lukić N, Zorić N, Stupar S, Ilić S. Effectiveness of Active Vibration Control of a Flexible Beam using a Different Position of Strain Gage Sensors. in 7th International Scientific Conference on Defensive Technologies (OTEH 2016), Belgrade, Serbia. 2016;:355-360.
https://hdl.handle.net/21.15107/rcub_machinery_4050 .

Jovanović, Miroslav, Simonović, Aleksandar, Lukić, Nebojša, Zorić, Nemanja, Stupar, Slobodan, Ilić, Slobodan, "Effectiveness of Active Vibration Control of a Flexible Beam using a Different Position of Strain Gage Sensors" in 7th International Scientific Conference on Defensive Technologies (OTEH 2016), Belgrade, Serbia (2016):355-360,
https://hdl.handle.net/21.15107/rcub_machinery_4050 .

TY  - JOUR
AU  - Simonović, Aleksandar
AU  - Jovanović, Miroslav M.
AU  - Lukić, Nebojša S.
AU  - Zorić, Nemanja
AU  - Stupar, Slobodan
AU  - Ilić, Slobodan S.
PY  - 2016
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2414
AB  - This paper presents a design, development and experimental verification of an active vibration control system of aluminum plate. The active structure consists of an aluminum rectangular plate as the host structure, strain gages as the sensor element and a piezoceramic patch as the actuation element. Based on characteristics of the integrated elements with use of the fuzzy optimization strategy based on the pseudogoal function the optimal orientation of piezoelectric actuator is found, and the whole active vibration control system is designed and developed. The active vibration control system is controlled by proportional-integral-derivative (PID) control strategy. Control algorithm was implemented on the PIC32MX440F256H microcontroller platform. In order to prevent it from negative occurrences from derivative and integral terms in a PID controller, the first-order low-pass filters are implemented in the derivative action and in the feedback of integral action. The experiment considers active damping control under periodic excitation. Experiments are conducted to verify the effectiveness of the vibration suppression and to compare the damping effect with different adjustment of PID gains. Experimental results corresponding to the developed active vibration control system are presented. The system suppresses more than 90% of vibration amplitude, which confirms the high level of effectiveness in vibration active damping at the proposed active structure.
PB  - Sage Publications Ltd, London
T2  - Journal of Vibration and Control
T1  - Experimental studies on active vibration control of smart plate using a modified PID controller with optimal orientation of piezoelectric actuator
EP  - 2631
IS  - 11
SP  - 2619
VL  - 22
DO  - 10.1177/1077546314549037
ER  - 

@article{
author = "Simonović, Aleksandar and Jovanović, Miroslav M. and Lukić, Nebojša S. and Zorić, Nemanja and Stupar, Slobodan and Ilić, Slobodan S.",
year = "2016",
abstract = "This paper presents a design, development and experimental verification of an active vibration control system of aluminum plate. The active structure consists of an aluminum rectangular plate as the host structure, strain gages as the sensor element and a piezoceramic patch as the actuation element. Based on characteristics of the integrated elements with use of the fuzzy optimization strategy based on the pseudogoal function the optimal orientation of piezoelectric actuator is found, and the whole active vibration control system is designed and developed. The active vibration control system is controlled by proportional-integral-derivative (PID) control strategy. Control algorithm was implemented on the PIC32MX440F256H microcontroller platform. In order to prevent it from negative occurrences from derivative and integral terms in a PID controller, the first-order low-pass filters are implemented in the derivative action and in the feedback of integral action. The experiment considers active damping control under periodic excitation. Experiments are conducted to verify the effectiveness of the vibration suppression and to compare the damping effect with different adjustment of PID gains. Experimental results corresponding to the developed active vibration control system are presented. The system suppresses more than 90% of vibration amplitude, which confirms the high level of effectiveness in vibration active damping at the proposed active structure.",
publisher = "Sage Publications Ltd, London",
journal = "Journal of Vibration and Control",
title = "Experimental studies on active vibration control of smart plate using a modified PID controller with optimal orientation of piezoelectric actuator",
pages = "2631-2619",
number = "11",
volume = "22",
doi = "10.1177/1077546314549037"
}

Simonović, A., Jovanović, M. M., Lukić, N. S., Zorić, N., Stupar, S.,& Ilić, S. S.. (2016). Experimental studies on active vibration control of smart plate using a modified PID controller with optimal orientation of piezoelectric actuator. in Journal of Vibration and Control
Sage Publications Ltd, London., 22(11), 2619-2631.
https://doi.org/10.1177/1077546314549037

Simonović A, Jovanović MM, Lukić NS, Zorić N, Stupar S, Ilić SS. Experimental studies on active vibration control of smart plate using a modified PID controller with optimal orientation of piezoelectric actuator. in Journal of Vibration and Control. 2016;22(11):2619-2631.
doi:10.1177/1077546314549037 .

Simonović, Aleksandar, Jovanović, Miroslav M., Lukić, Nebojša S., Zorić, Nemanja, Stupar, Slobodan, Ilić, Slobodan S., "Experimental studies on active vibration control of smart plate using a modified PID controller with optimal orientation of piezoelectric actuator" in Journal of Vibration and Control, 22, no. 11 (2016):2619-2631,
https://doi.org/10.1177/1077546314549037 . .

TY  - CONF
AU  - Jovanović, Miroslav
AU  - Guran, Ardeshir
AU  - Simonović, Aleksandar
AU  - Zorić, Nemanja
AU  - Lukić, Nebojša
AU  - Ilić, Slobodan
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4049
AB  - This paper present experimental modal analysis of rectangular thin plates with embedded
Piezoelectric Actuators and Sensors. This study gives the difference in natural frequencies of the
rectangular plate without and with integrated PZT actuator and PVDF sensors with the aim to
define the structural changes before the development of active control vibration system.
C3  - 21st International Conference ENGINEERING MECHANICS 2015, Svratka, Czech Republic
T1  - Exprimental modal analysis of a rectangular plate with embedded piezoelectric actuators and sensors
EP  - 129
SP  - 128
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4049
ER  - 

@conference{
author = "Jovanović, Miroslav and Guran, Ardeshir and Simonović, Aleksandar and Zorić, Nemanja and Lukić, Nebojša and Ilić, Slobodan",
year = "2015",
abstract = "This paper present experimental modal analysis of rectangular thin plates with embedded
Piezoelectric Actuators and Sensors. This study gives the difference in natural frequencies of the
rectangular plate without and with integrated PZT actuator and PVDF sensors with the aim to
define the structural changes before the development of active control vibration system.",
journal = "21st International Conference ENGINEERING MECHANICS 2015, Svratka, Czech Republic",
title = "Exprimental modal analysis of a rectangular plate with embedded piezoelectric actuators and sensors",
pages = "129-128",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4049"
}

Jovanović, M., Guran, A., Simonović, A., Zorić, N., Lukić, N.,& Ilić, S.. (2015). Exprimental modal analysis of a rectangular plate with embedded piezoelectric actuators and sensors. in 21st International Conference ENGINEERING MECHANICS 2015, Svratka, Czech Republic, 128-129.
https://hdl.handle.net/21.15107/rcub_machinery_4049

Jovanović M, Guran A, Simonović A, Zorić N, Lukić N, Ilić S. Exprimental modal analysis of a rectangular plate with embedded piezoelectric actuators and sensors. in 21st International Conference ENGINEERING MECHANICS 2015, Svratka, Czech Republic. 2015;:128-129.
https://hdl.handle.net/21.15107/rcub_machinery_4049 .

Jovanović, Miroslav, Guran, Ardeshir, Simonović, Aleksandar, Zorić, Nemanja, Lukić, Nebojša, Ilić, Slobodan, "Exprimental modal analysis of a rectangular plate with embedded piezoelectric actuators and sensors" in 21st International Conference ENGINEERING MECHANICS 2015, Svratka, Czech Republic (2015):128-129,
https://hdl.handle.net/21.15107/rcub_machinery_4049 .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Mitrović, Zoran
AU  - Lazarević, Mihailo
AU  - Pavišić, Mirko
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4076
AB  - Position of piezoelectric actuators and sensors on a smart structure directly affects the
control performances of a smart structure. In order to improve efficiency of active vibration
control of a smart structure, optimization of piezoelectric actuators and sensors placement has
been performed. There are various optimization criteria for optimal placement of piezoelectric
actuator. The ‘state-of-the-art’ of optimization criteria is presented in [1]. The aim of this paper is
to compare control effectiveness of smart composite cantilever beam, where optimal
configurations of actuator-sensor pairs were found by using four optimization criteria (LQR based
optimization, grammian matrices, performance index and fuzzy optimization strategy). The
problem is formulated as multi-input-multi-output (MIMO) model. The beam is discretized by
using the finite element method (FEM). The particle swarm optimization (PSO) method is used to
find optimal configurations for each configuration.
PB  - Serbian Society of Mechanics
C3  - 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015
T1  - Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam
IS  - C2b
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4076
ER  - 

@conference{
author = "Zorić, Nemanja and Tomović, Aleksandar and Mitrović, Zoran and Lazarević, Mihailo and Pavišić, Mirko",
year = "2015",
abstract = "Position of piezoelectric actuators and sensors on a smart structure directly affects the
control performances of a smart structure. In order to improve efficiency of active vibration
control of a smart structure, optimization of piezoelectric actuators and sensors placement has
been performed. There are various optimization criteria for optimal placement of piezoelectric
actuator. The ‘state-of-the-art’ of optimization criteria is presented in [1]. The aim of this paper is
to compare control effectiveness of smart composite cantilever beam, where optimal
configurations of actuator-sensor pairs were found by using four optimization criteria (LQR based
optimization, grammian matrices, performance index and fuzzy optimization strategy). The
problem is formulated as multi-input-multi-output (MIMO) model. The beam is discretized by
using the finite element method (FEM). The particle swarm optimization (PSO) method is used to
find optimal configurations for each configuration.",
publisher = "Serbian Society of Mechanics",
journal = "5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015",
title = "Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam",
number = "C2b",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4076"
}

Zorić, N., Tomović, A., Mitrović, Z., Lazarević, M.,& Pavišić, M.. (2015). Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam. in 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015
Serbian Society of Mechanics.(C2b).
https://hdl.handle.net/21.15107/rcub_machinery_4076

Zorić N, Tomović A, Mitrović Z, Lazarević M, Pavišić M. Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam. in 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015. 2015;(C2b).
https://hdl.handle.net/21.15107/rcub_machinery_4076 .

Zorić, Nemanja, Tomović, Aleksandar, Mitrović, Zoran, Lazarević, Mihailo, Pavišić, Mirko, "Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam" in 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015, no. C2b (2015),
https://hdl.handle.net/21.15107/rcub_machinery_4076 .

TY  - JOUR
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Trifković, Dragan
AU  - Zorić, Nemanja
AU  - Stokić, Zoran
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4330
AB  - Free vibration of structures composed of rigid bodies and elastic beam segments is considered, assuming that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments. It is assumed that the rigid bodies of the system perform planar motion in the same plane and that their mass centers are located in that plane. The elastic beam segments are treated as the Euler-Bernoulli beams. In order to determine natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been clone. The order of the overall transfer matrix has been reduced by this modification. Theoretical considerations are accompanied by two numerical examples.
PB  - Academic Press Ltd- Elsevier Science Ltd, London
T2  - Journal of Sound and Vibration
T1  - Free vibration of structures composed of rigid bodies and elastic beam segments
EP  - 138
SP  - 126
VL  - 347
DO  - 10.1016/j.jsv.2015.03.001
ER  - 

@article{
author = "Obradović, Aleksandar and Šalinić, Slaviša and Trifković, Dragan and Zorić, Nemanja and Stokić, Zoran",
year = "2015",
abstract = "Free vibration of structures composed of rigid bodies and elastic beam segments is considered, assuming that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments. It is assumed that the rigid bodies of the system perform planar motion in the same plane and that their mass centers are located in that plane. The elastic beam segments are treated as the Euler-Bernoulli beams. In order to determine natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been clone. The order of the overall transfer matrix has been reduced by this modification. Theoretical considerations are accompanied by two numerical examples.",
publisher = "Academic Press Ltd- Elsevier Science Ltd, London",
journal = "Journal of Sound and Vibration",
title = "Free vibration of structures composed of rigid bodies and elastic beam segments",
pages = "138-126",
volume = "347",
doi = "10.1016/j.jsv.2015.03.001"
}

Obradović, A., Šalinić, S., Trifković, D., Zorić, N.,& Stokić, Z.. (2015). Free vibration of structures composed of rigid bodies and elastic beam segments. in Journal of Sound and Vibration
Academic Press Ltd- Elsevier Science Ltd, London., 347, 126-138.
https://doi.org/10.1016/j.jsv.2015.03.001

Obradović A, Šalinić S, Trifković D, Zorić N, Stokić Z. Free vibration of structures composed of rigid bodies and elastic beam segments. in Journal of Sound and Vibration. 2015;347:126-138.
doi:10.1016/j.jsv.2015.03.001 .

Obradović, Aleksandar, Šalinić, Slaviša, Trifković, Dragan, Zorić, Nemanja, Stokić, Zoran, "Free vibration of structures composed of rigid bodies and elastic beam segments" in Journal of Sound and Vibration, 347 (2015):126-138,
https://doi.org/10.1016/j.jsv.2015.03.001 . .

TY  - JOUR
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Trifković, Dragan
AU  - Zorić, Nemanja
AU  - Stokić, Zoran
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2089
AB  - Free vibration of structures composed of rigid bodies and elastic beam segments is considered, assuming that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments. It is assumed that the rigid bodies of the system perform planar motion in the same plane and that their mass centers are located in that plane. The elastic beam segments are treated as the Euler-Bernoulli beams. In order to determine natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been clone. The order of the overall transfer matrix has been reduced by this modification. Theoretical considerations are accompanied by two numerical examples.
PB  - Academic Press Ltd- Elsevier Science Ltd, London
T2  - Journal of Sound and Vibration
T1  - Free vibration of structures composed of rigid bodies and elastic beam segments
EP  - 138
SP  - 126
VL  - 347
DO  - 10.1016/j.jsv.2015.03.001
ER  - 

@article{
author = "Obradović, Aleksandar and Šalinić, Slaviša and Trifković, Dragan and Zorić, Nemanja and Stokić, Zoran",
year = "2015",
abstract = "Free vibration of structures composed of rigid bodies and elastic beam segments is considered, assuming that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments. It is assumed that the rigid bodies of the system perform planar motion in the same plane and that their mass centers are located in that plane. The elastic beam segments are treated as the Euler-Bernoulli beams. In order to determine natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been clone. The order of the overall transfer matrix has been reduced by this modification. Theoretical considerations are accompanied by two numerical examples.",
publisher = "Academic Press Ltd- Elsevier Science Ltd, London",
journal = "Journal of Sound and Vibration",
title = "Free vibration of structures composed of rigid bodies and elastic beam segments",
pages = "138-126",
volume = "347",
doi = "10.1016/j.jsv.2015.03.001"
}

Obradović, A., Šalinić, S., Trifković, D., Zorić, N.,& Stokić, Z.. (2015). Free vibration of structures composed of rigid bodies and elastic beam segments. in Journal of Sound and Vibration
Academic Press Ltd- Elsevier Science Ltd, London., 347, 126-138.
https://doi.org/10.1016/j.jsv.2015.03.001

Obradović A, Šalinić S, Trifković D, Zorić N, Stokić Z. Free vibration of structures composed of rigid bodies and elastic beam segments. in Journal of Sound and Vibration. 2015;347:126-138.
doi:10.1016/j.jsv.2015.03.001 .

Obradović, Aleksandar, Šalinić, Slaviša, Trifković, Dragan, Zorić, Nemanja, Stokić, Zoran, "Free vibration of structures composed of rigid bodies and elastic beam segments" in Journal of Sound and Vibration, 347 (2015):126-138,
https://doi.org/10.1016/j.jsv.2015.03.001 . .