TY  - JOUR
AU  - Radulović, Radoslav
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4324
AB  - A new approach for the determination of the global minimum time for the case of the brachistochronic motion of the Chaplygin sleigh is presented. The new approach is based on the use of the shooting method in solving the corresponding two-point boundary-value problem and defining either the crossing points of surfaces or the crossing points space of curves in a three-dimensional space of two costate variables and the time of the brachistochronic motion of the sleigh. A number of examples for multiple extremals of the Chaplygin sleigh brachistochrone problem are provided. In these examples, the global minimum is the solution to which the minimum time of motion corresponds.
PB  - Sage Publications Ltd, London
T2  - Mathematics and Mechanics of Solids
T1  - A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem
EP  - 1482
IS  - 6
SP  - 1462
VL  - 22
DO  - 10.1177/1081286516637234
ER  - 

@article{
author = "Radulović, Radoslav and Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan",
year = "2017",
abstract = "A new approach for the determination of the global minimum time for the case of the brachistochronic motion of the Chaplygin sleigh is presented. The new approach is based on the use of the shooting method in solving the corresponding two-point boundary-value problem and defining either the crossing points of surfaces or the crossing points space of curves in a three-dimensional space of two costate variables and the time of the brachistochronic motion of the sleigh. A number of examples for multiple extremals of the Chaplygin sleigh brachistochrone problem are provided. In these examples, the global minimum is the solution to which the minimum time of motion corresponds.",
publisher = "Sage Publications Ltd, London",
journal = "Mathematics and Mechanics of Solids",
title = "A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem",
pages = "1482-1462",
number = "6",
volume = "22",
doi = "10.1177/1081286516637234"
}

Radulović, R., Šalinić, S., Obradović, A.,& Rusov, S.. (2017). A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem. in Mathematics and Mechanics of Solids
Sage Publications Ltd, London., 22(6), 1462-1482.
https://doi.org/10.1177/1081286516637234

Radulović R, Šalinić S, Obradović A, Rusov S. A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem. in Mathematics and Mechanics of Solids. 2017;22(6):1462-1482.
doi:10.1177/1081286516637234 .

Radulović, Radoslav, Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, "A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem" in Mathematics and Mechanics of Solids, 22, no. 6 (2017):1462-1482,
https://doi.org/10.1177/1081286516637234 . .

TY  - JOUR
AU  - Radulović, Radoslav
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2528
AB  - A new approach for the determination of the global minimum time for the case of the brachistochronic motion of the Chaplygin sleigh is presented. The new approach is based on the use of the shooting method in solving the corresponding two-point boundary-value problem and defining either the crossing points of surfaces or the crossing points space of curves in a three-dimensional space of two costate variables and the time of the brachistochronic motion of the sleigh. A number of examples for multiple extremals of the Chaplygin sleigh brachistochrone problem are provided. In these examples, the global minimum is the solution to which the minimum time of motion corresponds.
PB  - Sage Publications Ltd, London
T2  - Mathematics and Mechanics of Solids
T1  - A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem
EP  - 1482
IS  - 6
SP  - 1462
VL  - 22
DO  - 10.1177/1081286516637234
ER  - 

@article{
author = "Radulović, Radoslav and Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan",
year = "2017",
abstract = "A new approach for the determination of the global minimum time for the case of the brachistochronic motion of the Chaplygin sleigh is presented. The new approach is based on the use of the shooting method in solving the corresponding two-point boundary-value problem and defining either the crossing points of surfaces or the crossing points space of curves in a three-dimensional space of two costate variables and the time of the brachistochronic motion of the sleigh. A number of examples for multiple extremals of the Chaplygin sleigh brachistochrone problem are provided. In these examples, the global minimum is the solution to which the minimum time of motion corresponds.",
publisher = "Sage Publications Ltd, London",
journal = "Mathematics and Mechanics of Solids",
title = "A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem",
pages = "1482-1462",
number = "6",
volume = "22",
doi = "10.1177/1081286516637234"
}

Radulović, R., Šalinić, S., Obradović, A.,& Rusov, S.. (2017). A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem. in Mathematics and Mechanics of Solids
Sage Publications Ltd, London., 22(6), 1462-1482.
https://doi.org/10.1177/1081286516637234

Radulović R, Šalinić S, Obradović A, Rusov S. A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem. in Mathematics and Mechanics of Solids. 2017;22(6):1462-1482.
doi:10.1177/1081286516637234 .

Radulović, Radoslav, Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, "A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem" in Mathematics and Mechanics of Solids, 22, no. 6 (2017):1462-1482,
https://doi.org/10.1177/1081286516637234 . .

TY  - JOUR
AU  - Sekulić, Dragan
AU  - Dedović, Vlastimir
AU  - Rusov, Srđan
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
PY  - 2016
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2408
AB  - The paper defines "equal oscillatory comfort zones" as a novel concept in the sphere of the bus vertical dynamics. Oscillatory zones are determined using the original and validated oscillatory model of the intercity bus and comfort criteria according to the international ISO 2631/1997 standard requirements. The bus spatial oscillatory model with 65 degrees of freedom (DOF) was built in the ADAMS/View module of the multibody software package MSC.ADAMS. The model was excited by two different real road surfaces: poor asphalt-concrete and good asphalt-concrete pavements, registered at the speed of 64 km/h and 90 km/h respectively. It was found by simulation that oscillatory zones with different comfort assessments exist in the bus. The most comfortable oscillatory zone is in the middle part of the bus (between the front and the rear axle), whereas the least comfortable oscillatory zone is on the rear bus overhang. For the purpose of the ride comfort harmonization, using Design of Experiments (DOE) analysis, new oscillatory parameters are proposed for passenger seats which do not ensure satisfactory oscillatory comfort level. It is concluded that harmonization of oscillatory comfort for all bus passengers could be achieved for good asphalt-concrete excitation. For the poor road excitation it is possible to achieve significant improvement of comfort, especially for the assistant driver and passengers in the bus rear overhang. On a poor asphalt-concrete pavement, by using the proposed seat oscillatory parameters, the allowed exposure time for vertical whole body vibration would be considerably extended. Relevance to industry: Oscillatory comfort has a particular importance for users of intercity buses traveling longer distances. Comfort assessment of each bus user and mapping of comfort zones can indicate the individual seat and group of the seats on which the oscillatory comfort is reduced. Proper selection of seat oscillatory parameters can improve users comfort. Results of such an analysis can significantly help bus designers and manufacturers in order to improve and harmonize oscillatory comfort on the whole vehicle platform.
PB  - Elsevier Science Bv, Amsterdam
T2  - International Journal of Industrial Ergonomics
T1  - Definition and determination of the bus oscillatory comfort zones
EP  - 339
SP  - 328
VL  - 53
DO  - 10.1016/j.ergon.2016.04.003
ER  - 

@article{
author = "Sekulić, Dragan and Dedović, Vlastimir and Rusov, Srđan and Obradović, Aleksandar and Šalinić, Slaviša",
year = "2016",
abstract = "The paper defines "equal oscillatory comfort zones" as a novel concept in the sphere of the bus vertical dynamics. Oscillatory zones are determined using the original and validated oscillatory model of the intercity bus and comfort criteria according to the international ISO 2631/1997 standard requirements. The bus spatial oscillatory model with 65 degrees of freedom (DOF) was built in the ADAMS/View module of the multibody software package MSC.ADAMS. The model was excited by two different real road surfaces: poor asphalt-concrete and good asphalt-concrete pavements, registered at the speed of 64 km/h and 90 km/h respectively. It was found by simulation that oscillatory zones with different comfort assessments exist in the bus. The most comfortable oscillatory zone is in the middle part of the bus (between the front and the rear axle), whereas the least comfortable oscillatory zone is on the rear bus overhang. For the purpose of the ride comfort harmonization, using Design of Experiments (DOE) analysis, new oscillatory parameters are proposed for passenger seats which do not ensure satisfactory oscillatory comfort level. It is concluded that harmonization of oscillatory comfort for all bus passengers could be achieved for good asphalt-concrete excitation. For the poor road excitation it is possible to achieve significant improvement of comfort, especially for the assistant driver and passengers in the bus rear overhang. On a poor asphalt-concrete pavement, by using the proposed seat oscillatory parameters, the allowed exposure time for vertical whole body vibration would be considerably extended. Relevance to industry: Oscillatory comfort has a particular importance for users of intercity buses traveling longer distances. Comfort assessment of each bus user and mapping of comfort zones can indicate the individual seat and group of the seats on which the oscillatory comfort is reduced. Proper selection of seat oscillatory parameters can improve users comfort. Results of such an analysis can significantly help bus designers and manufacturers in order to improve and harmonize oscillatory comfort on the whole vehicle platform.",
publisher = "Elsevier Science Bv, Amsterdam",
journal = "International Journal of Industrial Ergonomics",
title = "Definition and determination of the bus oscillatory comfort zones",
pages = "339-328",
volume = "53",
doi = "10.1016/j.ergon.2016.04.003"
}

Sekulić, D., Dedović, V., Rusov, S., Obradović, A.,& Šalinić, S.. (2016). Definition and determination of the bus oscillatory comfort zones. in International Journal of Industrial Ergonomics
Elsevier Science Bv, Amsterdam., 53, 328-339.
https://doi.org/10.1016/j.ergon.2016.04.003

Sekulić D, Dedović V, Rusov S, Obradović A, Šalinić S. Definition and determination of the bus oscillatory comfort zones. in International Journal of Industrial Ergonomics. 2016;53:328-339.
doi:10.1016/j.ergon.2016.04.003 .

Sekulić, Dragan, Dedović, Vlastimir, Rusov, Srđan, Obradović, Aleksandar, Šalinić, Slaviša, "Definition and determination of the bus oscillatory comfort zones" in International Journal of Industrial Ergonomics, 53 (2016):328-339,
https://doi.org/10.1016/j.ergon.2016.04.003 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Stokić, Zoran
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3939
AB  - Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.
PB  - Elsevier, Amsterdam
T2  - Powder Technology
T1  - Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity
EP  - 209
SP  - 203
VL  - 273
DO  - 10.1016/j.powtec.2014.12.051
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan and Mitrović, Zoran and Stokić, Zoran",
year = "2015",
abstract = "Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.",
publisher = "Elsevier, Amsterdam",
journal = "Powder Technology",
title = "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity",
pages = "209-203",
volume = "273",
doi = "10.1016/j.powtec.2014.12.051"
}

Šalinić, S., Obradović, A., Rusov, S., Mitrović, Z.,& Stokić, Z.. (2015). Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology
Elsevier, Amsterdam., 273, 203-209.
https://doi.org/10.1016/j.powtec.2014.12.051

Šalinić S, Obradović A, Rusov S, Mitrović Z, Stokić Z. Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology. 2015;273:203-209.
doi:10.1016/j.powtec.2014.12.051 .

Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, Mitrović, Zoran, Stokić, Zoran, "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity" in Powder Technology, 273 (2015):203-209,
https://doi.org/10.1016/j.powtec.2014.12.051 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Stokić, Zoran
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2186
AB  - Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.
PB  - Elsevier, Amsterdam
T2  - Powder Technology
T1  - Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity
EP  - 209
SP  - 203
VL  - 273
DO  - 10.1016/j.powtec.2014.12.051
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan and Mitrović, Zoran and Stokić, Zoran",
year = "2015",
abstract = "Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.",
publisher = "Elsevier, Amsterdam",
journal = "Powder Technology",
title = "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity",
pages = "209-203",
volume = "273",
doi = "10.1016/j.powtec.2014.12.051"
}

Šalinić, S., Obradović, A., Rusov, S., Mitrović, Z.,& Stokić, Z.. (2015). Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology
Elsevier, Amsterdam., 273, 203-209.
https://doi.org/10.1016/j.powtec.2014.12.051

Šalinić S, Obradović A, Rusov S, Mitrović Z, Stokić Z. Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology. 2015;273:203-209.
doi:10.1016/j.powtec.2014.12.051 .

Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, Mitrović, Zoran, Stokić, Zoran, "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity" in Powder Technology, 273 (2015):203-209,
https://doi.org/10.1016/j.powtec.2014.12.051 . .

TY  - JOUR
AU  - Cović, V.
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
AU  - Obradović, Aleksandar
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1704
AB  - The Lyapunov first method generalized to the case of nonlinear differential equations is applied to the study of the instability of the equilibrium position of a mechanical system, whose motion is constrained by singular nonholonomic constraints. Starting from the results of S. D. Furta (On the instability of equilibrium position of constrained mechanical systems) three theorems on the instability are formulated. The first theorem considers the case of nonholonomic constraints that do not satisfy the condition of weak nonholonomity. The other two theorems are related to the case of weakly nonholonomic systems. In each of the formulated theorems it is shown that the minimum form of Maclaurin series for the potential energy has not a local minimum. Thus, a contribution has been made to the inversion of Lagrange's theorem.
PB  - Wiley-V C H Verlag Gmbh, Weinheim
T2  - Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik
T1  - On the instability of equilibrium position of a mechanical system with singular constraints
EP  - 936
IS  - 12
SP  - 928
VL  - 93
DO  - 10.1002/zamm.201200080
ER  - 

@article{
author = "Cović, V. and Mitrović, Zoran and Rusov, Srđan and Obradović, Aleksandar",
year = "2013",
abstract = "The Lyapunov first method generalized to the case of nonlinear differential equations is applied to the study of the instability of the equilibrium position of a mechanical system, whose motion is constrained by singular nonholonomic constraints. Starting from the results of S. D. Furta (On the instability of equilibrium position of constrained mechanical systems) three theorems on the instability are formulated. The first theorem considers the case of nonholonomic constraints that do not satisfy the condition of weak nonholonomity. The other two theorems are related to the case of weakly nonholonomic systems. In each of the formulated theorems it is shown that the minimum form of Maclaurin series for the potential energy has not a local minimum. Thus, a contribution has been made to the inversion of Lagrange's theorem.",
publisher = "Wiley-V C H Verlag Gmbh, Weinheim",
journal = "Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik",
title = "On the instability of equilibrium position of a mechanical system with singular constraints",
pages = "936-928",
number = "12",
volume = "93",
doi = "10.1002/zamm.201200080"
}

Cović, V., Mitrović, Z., Rusov, S.,& Obradović, A.. (2013). On the instability of equilibrium position of a mechanical system with singular constraints. in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik
Wiley-V C H Verlag Gmbh, Weinheim., 93(12), 928-936.
https://doi.org/10.1002/zamm.201200080

Cović V, Mitrović Z, Rusov S, Obradović A. On the instability of equilibrium position of a mechanical system with singular constraints. in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 2013;93(12):928-936.
doi:10.1002/zamm.201200080 .

Cović, V., Mitrović, Zoran, Rusov, Srđan, Obradović, Aleksandar, "On the instability of equilibrium position of a mechanical system with singular constraints" in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik, 93, no. 12 (2013):928-936,
https://doi.org/10.1002/zamm.201200080 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1687
AB  - This paper deals with the brachistochronic motion of the Chaplygin sleigh on a horizontal plane surface. Two cases are considered, such as: the case when the magnitude of the horizontal reaction force at the contact point of the knife edge with the surface is unbounded, and the case when the magnitude of this force is bounded. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The angular acceleration of the sleigh is taken for a control variable. The problem considered is reduced to solving the corresponding two-point boundary value problem. In order to solve the obtained boundary value problem, an appropriate numerical procedure based on the shooting method is presented. Also, the paper analyzes the influence of the bounded magnitude of the reaction force on the structure of the controller sequence. It is shown that in the case of unbounded magnitude of the reaction force, the control is singular, and in the case of bounded magnitude, the control is, in a general case, a combination of singular and bang-bang controls.
PB  - Springer Wien, Wien
T2  - Acta Mechanica
T1  - On the brachistochronic motion of the Chaplygin sleigh
EP  - 2141
IS  - 9
SP  - 2127
VL  - 224
DO  - 10.1007/s00707-013-0878-2
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran and Rusov, Srđan",
year = "2013",
abstract = "This paper deals with the brachistochronic motion of the Chaplygin sleigh on a horizontal plane surface. Two cases are considered, such as: the case when the magnitude of the horizontal reaction force at the contact point of the knife edge with the surface is unbounded, and the case when the magnitude of this force is bounded. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The angular acceleration of the sleigh is taken for a control variable. The problem considered is reduced to solving the corresponding two-point boundary value problem. In order to solve the obtained boundary value problem, an appropriate numerical procedure based on the shooting method is presented. Also, the paper analyzes the influence of the bounded magnitude of the reaction force on the structure of the controller sequence. It is shown that in the case of unbounded magnitude of the reaction force, the control is singular, and in the case of bounded magnitude, the control is, in a general case, a combination of singular and bang-bang controls.",
publisher = "Springer Wien, Wien",
journal = "Acta Mechanica",
title = "On the brachistochronic motion of the Chaplygin sleigh",
pages = "2141-2127",
number = "9",
volume = "224",
doi = "10.1007/s00707-013-0878-2"
}

Šalinić, S., Obradović, A., Mitrović, Z.,& Rusov, S.. (2013). On the brachistochronic motion of the Chaplygin sleigh. in Acta Mechanica
Springer Wien, Wien., 224(9), 2127-2141.
https://doi.org/10.1007/s00707-013-0878-2

Šalinić S, Obradović A, Mitrović Z, Rusov S. On the brachistochronic motion of the Chaplygin sleigh. in Acta Mechanica. 2013;224(9):2127-2141.
doi:10.1007/s00707-013-0878-2 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, Rusov, Srđan, "On the brachistochronic motion of the Chaplygin sleigh" in Acta Mechanica, 224, no. 9 (2013):2127-2141,
https://doi.org/10.1007/s00707-013-0878-2 . .

TY  - JOUR
AU  - Sekulić, Dragan
AU  - Dedović, Vlastimir
AU  - Rusov, Srđan
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1721
AB  - The paper analyzes the effects of vibrations on the comfort of intercity bus IK-301 users. Evaluation of vibration effects was carried out according to the criteria set out in the 1997 ISO 2631-1 standard for comfort in public means of transport. Comfort is determined for the space of a driver, passenger in the middle part of the bus and passenger in the rear overhang. Also, the allowable exposure time to vibrations in drivers for the reduced comfort criterion was determined according to the 1978 ISO 2631-1 standard. The bus spatial oscillatory model with ten degrees of freedom was developed for the needs of the analysis. Bus excitation was generated applying the Power Spectral Density of the asphalt-concrete road roughness, as described by the H. Braun model. The allowable vibration exposure time for the driver's body decreases as the spring stiffness of the driver's seat suspension system increases. Simulation was performed using the MATLAB software.
PB  - Elsevier Science Inc, New York
T2  - Applied Mathematical Modelling
T1  - Analysis of vibration effects on the comfort of intercity bus users by oscillatory model with ten degrees of freedom
EP  - 8644
IS  - 18-19
SP  - 8629
VL  - 37
DO  - 10.1016/j.apm.2013.03.060
ER  - 

@article{
author = "Sekulić, Dragan and Dedović, Vlastimir and Rusov, Srđan and Šalinić, Slaviša and Obradović, Aleksandar",
year = "2013",
abstract = "The paper analyzes the effects of vibrations on the comfort of intercity bus IK-301 users. Evaluation of vibration effects was carried out according to the criteria set out in the 1997 ISO 2631-1 standard for comfort in public means of transport. Comfort is determined for the space of a driver, passenger in the middle part of the bus and passenger in the rear overhang. Also, the allowable exposure time to vibrations in drivers for the reduced comfort criterion was determined according to the 1978 ISO 2631-1 standard. The bus spatial oscillatory model with ten degrees of freedom was developed for the needs of the analysis. Bus excitation was generated applying the Power Spectral Density of the asphalt-concrete road roughness, as described by the H. Braun model. The allowable vibration exposure time for the driver's body decreases as the spring stiffness of the driver's seat suspension system increases. Simulation was performed using the MATLAB software.",
publisher = "Elsevier Science Inc, New York",
journal = "Applied Mathematical Modelling",
title = "Analysis of vibration effects on the comfort of intercity bus users by oscillatory model with ten degrees of freedom",
pages = "8644-8629",
number = "18-19",
volume = "37",
doi = "10.1016/j.apm.2013.03.060"
}

Sekulić, D., Dedović, V., Rusov, S., Šalinić, S.,& Obradović, A.. (2013). Analysis of vibration effects on the comfort of intercity bus users by oscillatory model with ten degrees of freedom. in Applied Mathematical Modelling
Elsevier Science Inc, New York., 37(18-19), 8629-8644.
https://doi.org/10.1016/j.apm.2013.03.060

Sekulić D, Dedović V, Rusov S, Šalinić S, Obradović A. Analysis of vibration effects on the comfort of intercity bus users by oscillatory model with ten degrees of freedom. in Applied Mathematical Modelling. 2013;37(18-19):8629-8644.
doi:10.1016/j.apm.2013.03.060 .

Sekulić, Dragan, Dedović, Vlastimir, Rusov, Srđan, Šalinić, Slaviša, Obradović, Aleksandar, "Analysis of vibration effects on the comfort of intercity bus users by oscillatory model with ten degrees of freedom" in Applied Mathematical Modelling, 37, no. 18-19 (2013):8629-8644,
https://doi.org/10.1016/j.apm.2013.03.060 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3928
AB  - Erratum to: Brachistochrone with limited reaction of constraint in an arbitrary force field
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.
EP  - 892
SP  - 891
VL  - 70
DO  - 10.1007/S11071-012-0553-5
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran and Rusov, Srđan",
year = "2012",
abstract = "Erratum to: Brachistochrone with limited reaction of constraint in an arbitrary force field",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.",
pages = "892-891",
volume = "70",
doi = "10.1007/S11071-012-0553-5"
}

Šalinić, S., Obradović, A., Mitrović, Z.,& Rusov, S.. (2012). Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.. in Nonlinear Dynamics
Springer, Dordrecht., 70, 891-892.
https://doi.org/10.1007/S11071-012-0553-5

Šalinić S, Obradović A, Mitrović Z, Rusov S. Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.. in Nonlinear Dynamics. 2012;70:891-892.
doi:10.1007/S11071-012-0553-5 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, Rusov, Srđan, "Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1." in Nonlinear Dynamics, 70 (2012):891-892,
https://doi.org/10.1007/S11071-012-0553-5 . .

TY  - JOUR
AU  - Djukić, Marko
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1540
AB  - This paper shows the process of braking force realization by air brakes with brake shoes accompanied by a suitable mechanical model. The complexity of adhesion nature as a physical phenomenon as well as the limited factors on which the braking force value depends are pointed out. According to this, the model of braking force realization based on the fuzzy set theory is explained. The procedure of fuzzy controller projecting with a task to regulate the value of kidding and by that the value of braking torque through the air pressure in the braking cylinder by maximizing the braking force that can be realized according to adhesion conditions is described. The testing of the optimization model under concrete adhesion conditions of the wheels on the rails is done at the end of the paper.
PB  - Polish Society of Theoretical and Allied Mechanics
T2  - Journal of Theoretical and Applied Mechanics
T1  - Fuzzy model for braking force maximization
EP  - 1048
IS  - 4
SP  - 1037
VL  - 50
UR  - https://hdl.handle.net/21.15107/rcub_machinery_1540
ER  - 

@article{
author = "Djukić, Marko and Rusov, Srđan and Mitrović, Zoran and Obradović, Aleksandar and Šalinić, Slaviša",
year = "2012",
abstract = "This paper shows the process of braking force realization by air brakes with brake shoes accompanied by a suitable mechanical model. The complexity of adhesion nature as a physical phenomenon as well as the limited factors on which the braking force value depends are pointed out. According to this, the model of braking force realization based on the fuzzy set theory is explained. The procedure of fuzzy controller projecting with a task to regulate the value of kidding and by that the value of braking torque through the air pressure in the braking cylinder by maximizing the braking force that can be realized according to adhesion conditions is described. The testing of the optimization model under concrete adhesion conditions of the wheels on the rails is done at the end of the paper.",
publisher = "Polish Society of Theoretical and Allied Mechanics",
journal = "Journal of Theoretical and Applied Mechanics",
title = "Fuzzy model for braking force maximization",
pages = "1048-1037",
number = "4",
volume = "50",
url = "https://hdl.handle.net/21.15107/rcub_machinery_1540"
}

Djukić, M., Rusov, S., Mitrović, Z., Obradović, A.,& Šalinić, S.. (2012). Fuzzy model for braking force maximization. in Journal of Theoretical and Applied Mechanics
Polish Society of Theoretical and Allied Mechanics., 50(4), 1037-1048.
https://hdl.handle.net/21.15107/rcub_machinery_1540

Djukić M, Rusov S, Mitrović Z, Obradović A, Šalinić S. Fuzzy model for braking force maximization. in Journal of Theoretical and Applied Mechanics. 2012;50(4):1037-1048.
https://hdl.handle.net/21.15107/rcub_machinery_1540 .

Djukić, Marko, Rusov, Srđan, Mitrović, Zoran, Obradović, Aleksandar, Šalinić, Slaviša, "Fuzzy model for braking force maximization" in Journal of Theoretical and Applied Mechanics, 50, no. 4 (2012):1037-1048,
https://hdl.handle.net/21.15107/rcub_machinery_1540 .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1501
AB  - The paper considers brachistochronic motion of a particle along a curve y=y(x) in an arbitrary force field in the vertical plane of Cartesian coordinate system. The curve is treated as a bilateral or unilateral constraint that can be smooth or rough. The projection of the reaction force of the curve onto the normal to the curve is confined to the fixed limits. A control variable u is given as the second derivative of the function y(x) relative to the horizontal coordinate x of the particle, i.e., u=d (2) y/dx (2). Applying Pontryagin's maximum principle and singular optimal control theory, the problem is reduced to numerical solving of the corresponding two-point boundary value problem. The procedure based on the shooting method is used to solve the boundary value problem. Two examples with friction forces of the viscous friction and Coulomb friction type have been solved.
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - Brachistochrone with limited reaction of constraint in an arbitrary force field
EP  - 222
IS  - 1-2
SP  - 211
VL  - 69
DO  - 10.1007/s11071-011-0258-1
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran and Rusov, Srđan",
year = "2012",
abstract = "The paper considers brachistochronic motion of a particle along a curve y=y(x) in an arbitrary force field in the vertical plane of Cartesian coordinate system. The curve is treated as a bilateral or unilateral constraint that can be smooth or rough. The projection of the reaction force of the curve onto the normal to the curve is confined to the fixed limits. A control variable u is given as the second derivative of the function y(x) relative to the horizontal coordinate x of the particle, i.e., u=d (2) y/dx (2). Applying Pontryagin's maximum principle and singular optimal control theory, the problem is reduced to numerical solving of the corresponding two-point boundary value problem. The procedure based on the shooting method is used to solve the boundary value problem. Two examples with friction forces of the viscous friction and Coulomb friction type have been solved.",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "Brachistochrone with limited reaction of constraint in an arbitrary force field",
pages = "222-211",
number = "1-2",
volume = "69",
doi = "10.1007/s11071-011-0258-1"
}

Šalinić, S., Obradović, A., Mitrović, Z.,& Rusov, S.. (2012). Brachistochrone with limited reaction of constraint in an arbitrary force field. in Nonlinear Dynamics
Springer, Dordrecht., 69(1-2), 211-222.
https://doi.org/10.1007/s11071-011-0258-1

Šalinić S, Obradović A, Mitrović Z, Rusov S. Brachistochrone with limited reaction of constraint in an arbitrary force field. in Nonlinear Dynamics. 2012;69(1-2):211-222.
doi:10.1007/s11071-011-0258-1 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, Rusov, Srđan, "Brachistochrone with limited reaction of constraint in an arbitrary force field" in Nonlinear Dynamics, 69, no. 1-2 (2012):211-222,
https://doi.org/10.1007/s11071-011-0258-1 . .

TY  - CONF
AU  - Mitrović, Zoran
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
AU  - Mladenović, Nikola
PY  - 2011
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3989
AB  - It happens very often that we want to design a cantilever beam, while all project
requirements are not fully known. Namely, we know roughly what the structure should
realize. In classical optimization standard procedure should be applied in order to satisfy all
the pre-requirements. What happens if the requirements can only be described, but not
explicitly set? This paper starts from the premise that some requirements are expressed
linguistically. We want that the length and the largest deflection of a cantilever beam are
suitable to satisfy the predetermined conditions. Also, the goals are that the bending stress
and the largest deflection have to be less than the allowable maximum value. The objective
of this paper is: on known constraints and known fuzzy goal functions we must execute
fuzzy projecting of a beam. Constraints are: the length of cantilever beam and its deflection,
while the goal functions are maximum bending stress and maximum deflection. On this
basis, with known cross-sectional dimensions, we can determine the maximum cantilever
beam load.
PB  - Beograd : Srpsko društvo za mehaniku
C3  - Proceedings of  IConSSM 2011, The 3rd International Congress of Serbian Society of Mechanics, Vlasina Lake, Serbia, Serbian Society for Mechanics,  Србија, 5. - 8. Jul, 2011
T1  - Fuzzy optimization of cantilever beam
EP  - 163
SP  - 158
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3989
ER  - 

@conference{
author = "Mitrović, Zoran and Obradović, Aleksandar and Rusov, Srđan and Mladenović, Nikola",
year = "2011",
abstract = "It happens very often that we want to design a cantilever beam, while all project
requirements are not fully known. Namely, we know roughly what the structure should
realize. In classical optimization standard procedure should be applied in order to satisfy all
the pre-requirements. What happens if the requirements can only be described, but not
explicitly set? This paper starts from the premise that some requirements are expressed
linguistically. We want that the length and the largest deflection of a cantilever beam are
suitable to satisfy the predetermined conditions. Also, the goals are that the bending stress
and the largest deflection have to be less than the allowable maximum value. The objective
of this paper is: on known constraints and known fuzzy goal functions we must execute
fuzzy projecting of a beam. Constraints are: the length of cantilever beam and its deflection,
while the goal functions are maximum bending stress and maximum deflection. On this
basis, with known cross-sectional dimensions, we can determine the maximum cantilever
beam load.",
publisher = "Beograd : Srpsko društvo za mehaniku",
journal = "Proceedings of  IConSSM 2011, The 3rd International Congress of Serbian Society of Mechanics, Vlasina Lake, Serbia, Serbian Society for Mechanics,  Србија, 5. - 8. Jul, 2011",
title = "Fuzzy optimization of cantilever beam",
pages = "163-158",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3989"
}

Mitrović, Z., Obradović, A., Rusov, S.,& Mladenović, N.. (2011). Fuzzy optimization of cantilever beam. in Proceedings of  IConSSM 2011, The 3rd International Congress of Serbian Society of Mechanics, Vlasina Lake, Serbia, Serbian Society for Mechanics,  Србија, 5. - 8. Jul, 2011
Beograd : Srpsko društvo za mehaniku., 158-163.
https://hdl.handle.net/21.15107/rcub_machinery_3989

Mitrović Z, Obradović A, Rusov S, Mladenović N. Fuzzy optimization of cantilever beam. in Proceedings of  IConSSM 2011, The 3rd International Congress of Serbian Society of Mechanics, Vlasina Lake, Serbia, Serbian Society for Mechanics,  Србија, 5. - 8. Jul, 2011. 2011;:158-163.
https://hdl.handle.net/21.15107/rcub_machinery_3989 .

Mitrović, Zoran, Obradović, Aleksandar, Rusov, Srđan, Mladenović, Nikola, "Fuzzy optimization of cantilever beam" in Proceedings of  IConSSM 2011, The 3rd International Congress of Serbian Society of Mechanics, Vlasina Lake, Serbia, Serbian Society for Mechanics,  Србија, 5. - 8. Jul, 2011 (2011):158-163,
https://hdl.handle.net/21.15107/rcub_machinery_3989 .

TY  - JOUR
AU  - Djukić, Marko
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1051
AB  - This paper deals with the process of traction force realization described by a suitable mechanical model and is pointed to the adhesion phenomenon as a physical one, i.e. is a suitable factor that the value of traction force depends on. The model for the process of optimizing locomotive traction force based on using the fuzzy set theory is explained. The projecting process of a fuzzy controller regulating the value of skidding and the value of traction torque by increasing the value of traction force that can be realized according to adhesion conditions is described. Finally, testing the optimization model in several numerical examples under specific conditions of wheel-rail adhesion is done.
PB  - Vilnius Gediminas Tech Univ, Vilnius
T2  - Transport
T1  - A fuzzy model for an increase in locomotive traction force
EP  - 45
IS  - 1
SP  - 36
VL  - 25
DO  - 10.3846/transport.2010.06
ER  - 

@article{
author = "Djukić, Marko and Rusov, Srđan and Mitrović, Zoran",
year = "2010",
abstract = "This paper deals with the process of traction force realization described by a suitable mechanical model and is pointed to the adhesion phenomenon as a physical one, i.e. is a suitable factor that the value of traction force depends on. The model for the process of optimizing locomotive traction force based on using the fuzzy set theory is explained. The projecting process of a fuzzy controller regulating the value of skidding and the value of traction torque by increasing the value of traction force that can be realized according to adhesion conditions is described. Finally, testing the optimization model in several numerical examples under specific conditions of wheel-rail adhesion is done.",
publisher = "Vilnius Gediminas Tech Univ, Vilnius",
journal = "Transport",
title = "A fuzzy model for an increase in locomotive traction force",
pages = "45-36",
number = "1",
volume = "25",
doi = "10.3846/transport.2010.06"
}

Djukić, M., Rusov, S.,& Mitrović, Z.. (2010). A fuzzy model for an increase in locomotive traction force. in Transport
Vilnius Gediminas Tech Univ, Vilnius., 25(1), 36-45.
https://doi.org/10.3846/transport.2010.06

Djukić M, Rusov S, Mitrović Z. A fuzzy model for an increase in locomotive traction force. in Transport. 2010;25(1):36-45.
doi:10.3846/transport.2010.06 .

Djukić, Marko, Rusov, Srđan, Mitrović, Zoran, "A fuzzy model for an increase in locomotive traction force" in Transport, 25, no. 1 (2010):36-45,
https://doi.org/10.3846/transport.2010.06 . .

TY  - JOUR
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Mladenović, Nikola
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/807
AB  - U radu se razmatra problem optimizacije funkcije upravljanja kontrolera aktivnog sistema naginjanja kod vozova velikih brzina, zasnovan na analizi različitih mehaničkih modela železničkih vozila velikih brzina sa samonaginjanjem. U skladu sa klasičnim mehaničkim modelom vozila formiran je odgovarajući mehanički model u obliku sistema krutih tela predstavljenog u vidu kinematičkih lanaca. Formiran je odgovarajući blok dijagram i funkcija upravljanja aktivnog sistema samonaginjanja vozila sa elektrohidrauličkim aktuatorima, za čiju osnovu je predložen osavremenjeni mehanički model vozila, koji omogućava optimalnu formu diferencijalnih jednačina kretanja vozila u koje je integrisana odgovarajuća upravljačka funkcija. .
AB  - The present paper deals with the problem of controller function in active system of tilting in high speed railway vehicles, which is based on different mechanical models of railway vehicles. According to the classical mechanical model of the vehicle, an appropriate mechanical multibody system is formed in this paper. In conformity with the basic constructive parameters of the active system of tilting, guidance control function of actuator operating process is formed. Basic mechanical model, in dependence of characteristic constructive parameters, according to the theory of robust robotic control is given in the form of closed kinematics chain with branching. For the concrete model of high speed railway vehicle, differential equations of motion are obtained in the form optimal for control function evaluation and calculation.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Funkcija upravljanja aktivnim naginjanjem voza zasnovana na odgovarajućem mehaničkom sistemu krutih tela
T1  - Control function on active tilting train based on an appropriate multibody mechanical system
EP  - 102
IS  - 3
SP  - 99
VL  - 36
UR  - https://hdl.handle.net/21.15107/rcub_machinery_807
ER  - 

@article{
author = "Rusov, Srđan and Mitrović, Zoran and Mladenović, Nikola",
year = "2008",
abstract = "U radu se razmatra problem optimizacije funkcije upravljanja kontrolera aktivnog sistema naginjanja kod vozova velikih brzina, zasnovan na analizi različitih mehaničkih modela železničkih vozila velikih brzina sa samonaginjanjem. U skladu sa klasičnim mehaničkim modelom vozila formiran je odgovarajući mehanički model u obliku sistema krutih tela predstavljenog u vidu kinematičkih lanaca. Formiran je odgovarajući blok dijagram i funkcija upravljanja aktivnog sistema samonaginjanja vozila sa elektrohidrauličkim aktuatorima, za čiju osnovu je predložen osavremenjeni mehanički model vozila, koji omogućava optimalnu formu diferencijalnih jednačina kretanja vozila u koje je integrisana odgovarajuća upravljačka funkcija. ., The present paper deals with the problem of controller function in active system of tilting in high speed railway vehicles, which is based on different mechanical models of railway vehicles. According to the classical mechanical model of the vehicle, an appropriate mechanical multibody system is formed in this paper. In conformity with the basic constructive parameters of the active system of tilting, guidance control function of actuator operating process is formed. Basic mechanical model, in dependence of characteristic constructive parameters, according to the theory of robust robotic control is given in the form of closed kinematics chain with branching. For the concrete model of high speed railway vehicle, differential equations of motion are obtained in the form optimal for control function evaluation and calculation.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Funkcija upravljanja aktivnim naginjanjem voza zasnovana na odgovarajućem mehaničkom sistemu krutih tela, Control function on active tilting train based on an appropriate multibody mechanical system",
pages = "102-99",
number = "3",
volume = "36",
url = "https://hdl.handle.net/21.15107/rcub_machinery_807"
}

Rusov, S., Mitrović, Z.,& Mladenović, N.. (2008). Funkcija upravljanja aktivnim naginjanjem voza zasnovana na odgovarajućem mehaničkom sistemu krutih tela. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 36(3), 99-102.
https://hdl.handle.net/21.15107/rcub_machinery_807

Rusov S, Mitrović Z, Mladenović N. Funkcija upravljanja aktivnim naginjanjem voza zasnovana na odgovarajućem mehaničkom sistemu krutih tela. in FME Transactions. 2008;36(3):99-102.
https://hdl.handle.net/21.15107/rcub_machinery_807 .

Rusov, Srđan, Mitrović, Zoran, Mladenović, Nikola, "Funkcija upravljanja aktivnim naginjanjem voza zasnovana na odgovarajućem mehaničkom sistemu krutih tela" in FME Transactions, 36, no. 3 (2008):99-102,
https://hdl.handle.net/21.15107/rcub_machinery_807 .

TY  - JOUR
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/633
AB  - U radu se najpre analiziraju postojeće mere povezanosti između fuzzy skupova Postojeće mere definisane su kao mere povezanosti dva fuzzy skupa. Ograničenja koja ove mere imaju su da se one primenjuju za fuzzy skupove čije funkcije pripadnosti su prekidne. Takođe, analizirane su osobine postojećih mera. Uočeno je da najčešće ni osnovne osobine, koje bi ove mere trebalo da zadovoljavaju, nisu ispunjene. Na osnovu postojećih mera, analizirana je i Z A,B - mera povezanosti između dva fuzzy skupa. Ova mera zadovoljava osnovne osobine. U određenim slučajevima ova mera daje neodređeni rezultat oblika ∞/∞. U radu je dato rešenje ovog problema. Ovim rešenjem mera Z A,B, u potpunosti je određena u svakom slučaju, a ograničenja koja su nametnuta u postupku njenog izračunavanja, ne utiču na kvalitet rešenja. Koristeći meru Z A,B definisana je nova mera kojom se može utvrditi povezanost između više fuzzy skupova. Sa uvedenim ograničenjima za meru Z A,B, koja je prilagođena za novu meru povezanosti između više fuzzy skupova, nova mera daje kvalitativno dobre rezultate u svim slučajevima.
AB  - The existing similarity measures between fuzzy sets have been analyzed at the beginning of the paper. The existing measures have been defined as the similarity measures of the two fuzzy sets. The constraints these measures include are that they are applied for the fuzzy sets whose membership functions are discontinuous. Likewise, the properties of the existing measures have been analyzed. It has been noted that in most frequent cases not even the basic properties these measures should fulfill have been fulfilled. On the basis of the existing measures, the similarity measure Z A,B between two fuzzy sets has been analyzed. This measure fulfills the basic properties. In certain cases this measure gives the indefinite result ∞/∞. The solution to this problem has been presented in this paper. With this solution, the measure Z A,B has been determined to the full in each case, and the constraints do not affect the quality of the solution. The new measure with which we can determine the similarity measure of more fuzzy sets has been defined using the measure Z A,B. With the introduction of the constraints for the new similarity measure among more fuzzy sets the new measure provides good results in all cases.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Z mere povezanosti između Fuzzy skupova
T1  - Z similarity measure among Fuzzy sets
EP  - 119
IS  - 2
SP  - 115
VL  - 34
UR  - https://hdl.handle.net/21.15107/rcub_machinery_633
ER  - 

@article{
author = "Mitrović, Zoran and Rusov, Srđan",
year = "2006",
abstract = "U radu se najpre analiziraju postojeće mere povezanosti između fuzzy skupova Postojeće mere definisane su kao mere povezanosti dva fuzzy skupa. Ograničenja koja ove mere imaju su da se one primenjuju za fuzzy skupove čije funkcije pripadnosti su prekidne. Takođe, analizirane su osobine postojećih mera. Uočeno je da najčešće ni osnovne osobine, koje bi ove mere trebalo da zadovoljavaju, nisu ispunjene. Na osnovu postojećih mera, analizirana je i Z A,B - mera povezanosti između dva fuzzy skupa. Ova mera zadovoljava osnovne osobine. U određenim slučajevima ova mera daje neodređeni rezultat oblika ∞/∞. U radu je dato rešenje ovog problema. Ovim rešenjem mera Z A,B, u potpunosti je određena u svakom slučaju, a ograničenja koja su nametnuta u postupku njenog izračunavanja, ne utiču na kvalitet rešenja. Koristeći meru Z A,B definisana je nova mera kojom se može utvrditi povezanost između više fuzzy skupova. Sa uvedenim ograničenjima za meru Z A,B, koja je prilagođena za novu meru povezanosti između više fuzzy skupova, nova mera daje kvalitativno dobre rezultate u svim slučajevima., The existing similarity measures between fuzzy sets have been analyzed at the beginning of the paper. The existing measures have been defined as the similarity measures of the two fuzzy sets. The constraints these measures include are that they are applied for the fuzzy sets whose membership functions are discontinuous. Likewise, the properties of the existing measures have been analyzed. It has been noted that in most frequent cases not even the basic properties these measures should fulfill have been fulfilled. On the basis of the existing measures, the similarity measure Z A,B between two fuzzy sets has been analyzed. This measure fulfills the basic properties. In certain cases this measure gives the indefinite result ∞/∞. The solution to this problem has been presented in this paper. With this solution, the measure Z A,B has been determined to the full in each case, and the constraints do not affect the quality of the solution. The new measure with which we can determine the similarity measure of more fuzzy sets has been defined using the measure Z A,B. With the introduction of the constraints for the new similarity measure among more fuzzy sets the new measure provides good results in all cases.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Z mere povezanosti između Fuzzy skupova, Z similarity measure among Fuzzy sets",
pages = "119-115",
number = "2",
volume = "34",
url = "https://hdl.handle.net/21.15107/rcub_machinery_633"
}

Mitrović, Z.,& Rusov, S.. (2006). Z mere povezanosti između Fuzzy skupova. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 34(2), 115-119.
https://hdl.handle.net/21.15107/rcub_machinery_633

Mitrović Z, Rusov S. Z mere povezanosti između Fuzzy skupova. in FME Transactions. 2006;34(2):115-119.
https://hdl.handle.net/21.15107/rcub_machinery_633 .

Mitrović, Zoran, Rusov, Srđan, "Z mere povezanosti između Fuzzy skupova" in FME Transactions, 34, no. 2 (2006):115-119,
https://hdl.handle.net/21.15107/rcub_machinery_633 .