TY  - JOUR
AU  - Bingshuo, Wang
AU  - Li, Wei
AU  - Zhao, Junfeng
AU  - Trišović, Nataša
PY  - 2024
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7738
AB  - In this paper, we take the resting T cells into account and interpret the progression and
regression of tumors by a predator-prey like tumor-immune system. First, we construct an appropriate
Lyapunov function to prove the existence and uniqueness of the global positive solution to the system.
Then, by utilizing the stochastic comparison theorem, we prove the moment boundedness of tumor
cells and two types of T cells. Furthermore, we analyze the impact of stochastic perturbations on the
extinction and persistence of tumor cells and obtain the stationary probability density of the tumor cells
in the persistent state. The results indicate that when the noise intensity of tumor perturbation is low,
tumor cells remain in a persistent state. As this intensity gradually increases, the population of tumors
moves towards a lower level, and the stochastic bifurcation phenomena occurs. When it reaches a
certain threshold, instead the number of tumor cells eventually enter into an extinct state, and further
increasing of the noise intensity will accelerate this process.
PB  - AIMS Press Journals
T2  - Mathematical Biosciences and Engineering, Special Issue: Modelling and investigations of predator-prey dynamics
T1  - Longtime evolution and stationary response of a stochastic tumor-immune system with resting T cells
EP  - 2834
IS  - 2
SP  - 2813
VL  - 21
DO  - 10.3934/mbe.2024125
ER  - 

@article{
author = "Bingshuo, Wang and Li, Wei and Zhao, Junfeng and Trišović, Nataša",
year = "2024",
abstract = "In this paper, we take the resting T cells into account and interpret the progression and
regression of tumors by a predator-prey like tumor-immune system. First, we construct an appropriate
Lyapunov function to prove the existence and uniqueness of the global positive solution to the system.
Then, by utilizing the stochastic comparison theorem, we prove the moment boundedness of tumor
cells and two types of T cells. Furthermore, we analyze the impact of stochastic perturbations on the
extinction and persistence of tumor cells and obtain the stationary probability density of the tumor cells
in the persistent state. The results indicate that when the noise intensity of tumor perturbation is low,
tumor cells remain in a persistent state. As this intensity gradually increases, the population of tumors
moves towards a lower level, and the stochastic bifurcation phenomena occurs. When it reaches a
certain threshold, instead the number of tumor cells eventually enter into an extinct state, and further
increasing of the noise intensity will accelerate this process.",
publisher = "AIMS Press Journals",
journal = "Mathematical Biosciences and Engineering, Special Issue: Modelling and investigations of predator-prey dynamics",
title = "Longtime evolution and stationary response of a stochastic tumor-immune system with resting T cells",
pages = "2834-2813",
number = "2",
volume = "21",
doi = "10.3934/mbe.2024125"
}

Bingshuo, W., Li, W., Zhao, J.,& Trišović, N.. (2024). Longtime evolution and stationary response of a stochastic tumor-immune system with resting T cells. in Mathematical Biosciences and Engineering, Special Issue: Modelling and investigations of predator-prey dynamics
AIMS Press Journals., 21(2), 2813-2834.
https://doi.org/10.3934/mbe.2024125

Bingshuo W, Li W, Zhao J, Trišović N. Longtime evolution and stationary response of a stochastic tumor-immune system with resting T cells. in Mathematical Biosciences and Engineering, Special Issue: Modelling and investigations of predator-prey dynamics. 2024;21(2):2813-2834.
doi:10.3934/mbe.2024125 .

Bingshuo, Wang, Li, Wei, Zhao, Junfeng, Trišović, Nataša, "Longtime evolution and stationary response of a stochastic tumor-immune system with resting T cells" in Mathematical Biosciences and Engineering, Special Issue: Modelling and investigations of predator-prey dynamics, 21, no. 2 (2024):2813-2834,
https://doi.org/10.3934/mbe.2024125 . .

TY  - CONF
AU  - Trišović, Nataša
AU  - Li, Wei
AU  - Jeremić, Olivera
AU  - Ristić, Ognjen
AU  - Sedak, Miloš
AU  - Petrović, Ana
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7183
AB  - Structural design optimization for dynamic behavior is crucial for structures reliant on their dynamic characteristics for operational performance and integrity.
PB  - Trans Tech Publications
C3  - 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland
T1  - Sensitivity Analysis in Dynamic Systems: Exploring Insights
EP  - 113
SP  - 113
VL  - 2
UR  - https://hdl.handle.net/21.15107/rcub_machinery_7183
ER  - 

@conference{
author = "Trišović, Nataša and Li, Wei and Jeremić, Olivera and Ristić, Ognjen and Sedak, Miloš and Petrović, Ana",
year = "2023",
abstract = "Structural design optimization for dynamic behavior is crucial for structures reliant on their dynamic characteristics for operational performance and integrity.",
publisher = "Trans Tech Publications",
journal = "9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland",
title = "Sensitivity Analysis in Dynamic Systems: Exploring Insights",
pages = "113-113",
volume = "2",
url = "https://hdl.handle.net/21.15107/rcub_machinery_7183"
}

Trišović, N., Li, W., Jeremić, O., Ristić, O., Sedak, M.,& Petrović, A.. (2023). Sensitivity Analysis in Dynamic Systems: Exploring Insights. in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland
Trans Tech Publications., 2, 113-113.
https://hdl.handle.net/21.15107/rcub_machinery_7183

Trišović N, Li W, Jeremić O, Ristić O, Sedak M, Petrović A. Sensitivity Analysis in Dynamic Systems: Exploring Insights. in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland. 2023;2:113-113.
https://hdl.handle.net/21.15107/rcub_machinery_7183 .

Trišović, Nataša, Li, Wei, Jeremić, Olivera, Ristić, Ognjen, Sedak, Miloš, Petrović, Ana, "Sensitivity Analysis in Dynamic Systems: Exploring Insights" in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland, 2 (2023):113-113,
https://hdl.handle.net/21.15107/rcub_machinery_7183 .

TY  - CONF
AU  - Jeremić, Olivera
AU  - Li, Wei
AU  - Trišović, Nataša
AU  - Socalici, Ana Virginia
AU  - Baneasa Birtok, Corneliu
AU  - Lazović-Kapor, Tatjana
AU  - Petrović, Ana
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7187
AB  - Establishing a dependable finite element (FE) or analytical model is critical for ensuring the robustness of structural analysis.
PB  - 2023 Trans Tech Publications Ltd, Switzerland, editors: Mihály Csüllög and Dr. Tamas Mankovits
C3  - 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland
T1  - Refinement of the Finite Element Model for Enhanced Structural Analysis
EP  - 44
SP  - 44
VL  - 2
UR  - https://hdl.handle.net/21.15107/rcub_machinery_7187
ER  - 

@conference{
author = "Jeremić, Olivera and Li, Wei and Trišović, Nataša and Socalici, Ana Virginia and Baneasa Birtok, Corneliu and Lazović-Kapor, Tatjana and Petrović, Ana",
year = "2023",
abstract = "Establishing a dependable finite element (FE) or analytical model is critical for ensuring the robustness of structural analysis.",
publisher = "2023 Trans Tech Publications Ltd, Switzerland, editors: Mihály Csüllög and Dr. Tamas Mankovits",
journal = "9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland",
title = "Refinement of the Finite Element Model for Enhanced Structural Analysis",
pages = "44-44",
volume = "2",
url = "https://hdl.handle.net/21.15107/rcub_machinery_7187"
}

Jeremić, O., Li, W., Trišović, N., Socalici, A. V., Baneasa Birtok, C., Lazović-Kapor, T.,& Petrović, A.. (2023). Refinement of the Finite Element Model for Enhanced Structural Analysis. in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland
2023 Trans Tech Publications Ltd, Switzerland, editors: Mihály Csüllög and Dr. Tamas Mankovits., 2, 44-44.
https://hdl.handle.net/21.15107/rcub_machinery_7187

Jeremić O, Li W, Trišović N, Socalici AV, Baneasa Birtok C, Lazović-Kapor T, Petrović A. Refinement of the Finite Element Model for Enhanced Structural Analysis. in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland. 2023;2:44-44.
https://hdl.handle.net/21.15107/rcub_machinery_7187 .

Jeremić, Olivera, Li, Wei, Trišović, Nataša, Socalici, Ana Virginia, Baneasa Birtok, Corneliu, Lazović-Kapor, Tatjana, Petrović, Ana, "Refinement of the Finite Element Model for Enhanced Structural Analysis" in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland, 2 (2023):44-44,
https://hdl.handle.net/21.15107/rcub_machinery_7187 .

TY  - CONF
AU  - Trišović, Nataša
AU  - Li, Wei
AU  - Lazović-Kapor, Tatjana
AU  - Gavrilović, Marko
AU  - Radulović, Radoslav
AU  - Milić, Milica
AU  - Baneasa Birtok, Corneliu
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7182
AB  - The modern approach to optimizing mechanical systems involves employing cutting-edge technologies and methodologies to enhance the performance, efficiency, and sustainability of various mechanical processes and systems.
PB  - Trans Tech Publications
C3  - 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland
T1  - The Modern Approach to Optimizing Mechanical Systems
IS  - Scientific Books of Abstracts, Vol. 2, pp 114-114
UR  - https://hdl.handle.net/21.15107/rcub_machinery_7182
ER  - 

@conference{
author = "Trišović, Nataša and Li, Wei and Lazović-Kapor, Tatjana and Gavrilović, Marko and Radulović, Radoslav and Milić, Milica and Baneasa Birtok, Corneliu",
year = "2023",
abstract = "The modern approach to optimizing mechanical systems involves employing cutting-edge technologies and methodologies to enhance the performance, efficiency, and sustainability of various mechanical processes and systems.",
publisher = "Trans Tech Publications",
journal = "9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland",
title = "The Modern Approach to Optimizing Mechanical Systems",
number = "Scientific Books of Abstracts, Vol. 2, pp 114-114",
url = "https://hdl.handle.net/21.15107/rcub_machinery_7182"
}

Trišović, N., Li, W., Lazović-Kapor, T., Gavrilović, M., Radulović, R., Milić, M.,& Baneasa Birtok, C.. (2023). The Modern Approach to Optimizing Mechanical Systems. in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland
Trans Tech Publications.(Scientific Books of Abstracts, Vol. 2, pp 114-114).
https://hdl.handle.net/21.15107/rcub_machinery_7182

Trišović N, Li W, Lazović-Kapor T, Gavrilović M, Radulović R, Milić M, Baneasa Birtok C. The Modern Approach to Optimizing Mechanical Systems. in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland. 2023;(Scientific Books of Abstracts, Vol. 2, pp 114-114).
https://hdl.handle.net/21.15107/rcub_machinery_7182 .

Trišović, Nataša, Li, Wei, Lazović-Kapor, Tatjana, Gavrilović, Marko, Radulović, Radoslav, Milić, Milica, Baneasa Birtok, Corneliu, "The Modern Approach to Optimizing Mechanical Systems" in 9th International Scientific Conference on Advances in Mechanical Engineering (ISCAME), the Book of Abstracts, 2023 Trans Tech Publications Ltd, Switzerland, no. Scientific Books of Abstracts, Vol. 2, pp 114-114 (2023),
https://hdl.handle.net/21.15107/rcub_machinery_7182 .

TY  - JOUR
AU  - Li, Wei
AU  - Guan, Yu
AU  - Huang, Dongmei
AU  - Trišović, Nataša
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6880
AB  - Solving the Fokker–Planck–Kolmogorov (FPK) equation and the Backward-Kolmogorov (BK) equation is a crucial task to obtain the transient response of stochastic dynamical systems. Fractional order PID (FOPID) is a new efficient controller to change the system response to be the expected one. Therefore, in this paper, the Gaussian Radial Basis Functions Neural Network (RBFNN) is proposed to solve FPK and BK equations, to obtain the transient probability density function and the reliability function for a generalized Van der Pol system under a FOPID controller. The values of the different fractional orders are analyzed to discuss the performance of the FOPID controller. A data collection strategy is adopted to deal with the associated boundary conditions by way of a one-time Monte-Carlo simulation and uniform distribution in our Gaussian RBFNN method. The advantage of this method is that the solution process of FPK and BK equations is converted into solving algebraic equations. Numerical results with regard to the transient system response prove that the Gaussian RBFNN is efficient and accurate in getting the solutions of FPK and BK equations. The order of the fractional integration and the fractional derivative are critical parameters to control the system response. Moreover, we conclude that the fractional order parameters in a FOPID controller can indeed enhance the system’s response to a certain extent and lead to bifurcation.
PB  - Elsevier
T2  - International Journal of Non-Linear Mechanics
T1  - Gaussian RBFNN method for solving FPK and BK equations in stochastic dynamical system with FOPID controller
SP  - 104403
VL  - 153
DO  - 10.1016/j.ijnonlinmec.2023.104403
ER  - 

@article{
author = "Li, Wei and Guan, Yu and Huang, Dongmei and Trišović, Nataša",
year = "2023",
abstract = "Solving the Fokker–Planck–Kolmogorov (FPK) equation and the Backward-Kolmogorov (BK) equation is a crucial task to obtain the transient response of stochastic dynamical systems. Fractional order PID (FOPID) is a new efficient controller to change the system response to be the expected one. Therefore, in this paper, the Gaussian Radial Basis Functions Neural Network (RBFNN) is proposed to solve FPK and BK equations, to obtain the transient probability density function and the reliability function for a generalized Van der Pol system under a FOPID controller. The values of the different fractional orders are analyzed to discuss the performance of the FOPID controller. A data collection strategy is adopted to deal with the associated boundary conditions by way of a one-time Monte-Carlo simulation and uniform distribution in our Gaussian RBFNN method. The advantage of this method is that the solution process of FPK and BK equations is converted into solving algebraic equations. Numerical results with regard to the transient system response prove that the Gaussian RBFNN is efficient and accurate in getting the solutions of FPK and BK equations. The order of the fractional integration and the fractional derivative are critical parameters to control the system response. Moreover, we conclude that the fractional order parameters in a FOPID controller can indeed enhance the system’s response to a certain extent and lead to bifurcation.",
publisher = "Elsevier",
journal = "International Journal of Non-Linear Mechanics",
title = "Gaussian RBFNN method for solving FPK and BK equations in stochastic dynamical system with FOPID controller",
pages = "104403",
volume = "153",
doi = "10.1016/j.ijnonlinmec.2023.104403"
}

Li, W., Guan, Y., Huang, D.,& Trišović, N.. (2023). Gaussian RBFNN method for solving FPK and BK equations in stochastic dynamical system with FOPID controller. in International Journal of Non-Linear Mechanics
Elsevier., 153, 104403.
https://doi.org/10.1016/j.ijnonlinmec.2023.104403

Li W, Guan Y, Huang D, Trišović N. Gaussian RBFNN method for solving FPK and BK equations in stochastic dynamical system with FOPID controller. in International Journal of Non-Linear Mechanics. 2023;153:104403.
doi:10.1016/j.ijnonlinmec.2023.104403 .

Li, Wei, Guan, Yu, Huang, Dongmei, Trišović, Nataša, "Gaussian RBFNN method for solving FPK and BK equations in stochastic dynamical system with FOPID controller" in International Journal of Non-Linear Mechanics, 153 (2023):104403,
https://doi.org/10.1016/j.ijnonlinmec.2023.104403 . .

TY  - JOUR
AU  - Li, Wei
AU  - Guan, Yu
AU  - Huang, Dongmei
AU  - Trišović, Nataša
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6881
AB  - Solving the Fokker–Planck–Kolmogorov (FPK) equation and the Backward-Kolmogorov (BK) equation is a crucial task to obtain the transient response of stochastic dynamical systems. Fractional order PID (FOPID) is a new efficient controller to change the system response to be the expected one. Therefore, in this paper, the Gaussian Radial Basis Functions Neural Network (RBFNN) is proposed to solve FPK and BK equations, to obtain the transient probability density function and the reliability function for a generalized Van der Pol system under a FOPID controller. The values of the different fractional orders are analyzed to discuss the performance of the FOPID controller. A data collection strategy is adopted to deal with the associated boundary conditions by way of a one-time Monte-Carlo simulation and uniform distribution in our Gaussian RBFNN method. The advantage of this method is that the solution process of FPK and BK equations is converted into solving algebraic equations. Numerical results with regard to the transient system response prove that the Gaussian RBFNN is efficient and accurate in getting the solutions of FPK and BK equations. The order of the fractional integration and the fractional derivative are critical parameters to control the system response. Moreover, we conclude that the fractional order parameters in a FOPID controller can indeed enhance the system’s response to a certain extent and lead to bifurcation.
PB  - Elsevier
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Two methods for studying the response and the reliability of a fractional stochastic dynamical system
SP  - 107144
VL  - 120
DO  - 10.1016/j.cnsns.2023.107144
ER  - 

@article{
author = "Li, Wei and Guan, Yu and Huang, Dongmei and Trišović, Nataša",
year = "2023",
abstract = "Solving the Fokker–Planck–Kolmogorov (FPK) equation and the Backward-Kolmogorov (BK) equation is a crucial task to obtain the transient response of stochastic dynamical systems. Fractional order PID (FOPID) is a new efficient controller to change the system response to be the expected one. Therefore, in this paper, the Gaussian Radial Basis Functions Neural Network (RBFNN) is proposed to solve FPK and BK equations, to obtain the transient probability density function and the reliability function for a generalized Van der Pol system under a FOPID controller. The values of the different fractional orders are analyzed to discuss the performance of the FOPID controller. A data collection strategy is adopted to deal with the associated boundary conditions by way of a one-time Monte-Carlo simulation and uniform distribution in our Gaussian RBFNN method. The advantage of this method is that the solution process of FPK and BK equations is converted into solving algebraic equations. Numerical results with regard to the transient system response prove that the Gaussian RBFNN is efficient and accurate in getting the solutions of FPK and BK equations. The order of the fractional integration and the fractional derivative are critical parameters to control the system response. Moreover, we conclude that the fractional order parameters in a FOPID controller can indeed enhance the system’s response to a certain extent and lead to bifurcation.",
publisher = "Elsevier",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Two methods for studying the response and the reliability of a fractional stochastic dynamical system",
pages = "107144",
volume = "120",
doi = "10.1016/j.cnsns.2023.107144"
}

Li, W., Guan, Y., Huang, D.,& Trišović, N.. (2023). Two methods for studying the response and the reliability of a fractional stochastic dynamical system. in Communications in Nonlinear Science and Numerical Simulation
Elsevier., 120, 107144.
https://doi.org/10.1016/j.cnsns.2023.107144

Li W, Guan Y, Huang D, Trišović N. Two methods for studying the response and the reliability of a fractional stochastic dynamical system. in Communications in Nonlinear Science and Numerical Simulation. 2023;120:107144.
doi:10.1016/j.cnsns.2023.107144 .

Li, Wei, Guan, Yu, Huang, Dongmei, Trišović, Nataša, "Two methods for studying the response and the reliability of a fractional stochastic dynamical system" in Communications in Nonlinear Science and Numerical Simulation, 120 (2023):107144,
https://doi.org/10.1016/j.cnsns.2023.107144 . .

TY  - CONF
AU  - Trišović, Nataša
AU  - Li, Wei
AU  - Gavrilović, Marko
AU  - Baneasa Birtok, Corneliu
AU  - Ristić, Ognjen
AU  - Milić, Milica
AU  - Radulovic, Radoslav
AU  - Trišović, Zaga
AU  - Socalici, Ana Virginia
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7739
PB  - Academy of Applied Technical Studies Belgrade
C3  - International scientific and professional conference: "Politehnika 2023"
T1  - Effects of changing design parameters
UR  - https://hdl.handle.net/21.15107/rcub_machinery_7739
ER  - 

@conference{
author = "Trišović, Nataša and Li, Wei and Gavrilović, Marko and Baneasa Birtok, Corneliu and Ristić, Ognjen and Milić, Milica and Radulovic, Radoslav and Trišović, Zaga and Socalici, Ana Virginia",
year = "2023",
publisher = "Academy of Applied Technical Studies Belgrade",
journal = "International scientific and professional conference: "Politehnika 2023"",
title = "Effects of changing design parameters",
url = "https://hdl.handle.net/21.15107/rcub_machinery_7739"
}

Trišović, N., Li, W., Gavrilović, M., Baneasa Birtok, C., Ristić, O., Milić, M., Radulovic, R., Trišović, Z.,& Socalici, A. V.. (2023). Effects of changing design parameters. in International scientific and professional conference: "Politehnika 2023"
Academy of Applied Technical Studies Belgrade..
https://hdl.handle.net/21.15107/rcub_machinery_7739

Trišović N, Li W, Gavrilović M, Baneasa Birtok C, Ristić O, Milić M, Radulovic R, Trišović Z, Socalici AV. Effects of changing design parameters. in International scientific and professional conference: "Politehnika 2023". 2023;.
https://hdl.handle.net/21.15107/rcub_machinery_7739 .

Trišović, Nataša, Li, Wei, Gavrilović, Marko, Baneasa Birtok, Corneliu, Ristić, Ognjen, Milić, Milica, Radulovic, Radoslav, Trišović, Zaga, Socalici, Ana Virginia, "Effects of changing design parameters" in International scientific and professional conference: "Politehnika 2023" (2023),
https://hdl.handle.net/21.15107/rcub_machinery_7739 .

TY  - CONF
AU  - Petrović, Ana
AU  - Li, Wei
AU  - Trišović, Nataša
AU  - Momčilović, Nikola
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6110
AB  - There are numeruos examples of failure of responsible parts of steel structures.
When failure occurs, series of procedures are performed in order to obtain the cause of
failure and to repair the damage. However, prevention of failure should be given higher
importance. That means that one can predict reaction of construction in any unexpected
circumstances, having owerall knowledge about construction. Actually, dynamic
reanalysis method and model testing could give comprehensive insight into structural
behavior of construction. Dynamic reanalysis method implies that the stress is not the
only indicator of weak points in structural design. One should know modal shapes and
natural frequencies, and distribution of potential and kinetic energy in the main modes.
In fact, the main mode shapes show how the structure behaves under some possible
load. Reanalysis method is based on distribution (of difference) of kinetic and potential
energy and involves the transformation of the existing models in the new (better) one.
Model testing represents one of the solutions to obtain the whole picture of
construction behavior and includes creation of sub-scaled model in order to anticipate
the behavior of the real construction, regarding the behavior of the model. Model
testing enables to predict the stresses and deformations, and dynamic behaviour of the
real structure regarding the stresses and deformations of the model, and testing on the
model instead of the actual construction results in a great saving of money and time.
Once again, dynamic reanalysis method and model testing give owerall knowledge
about construction.
C3  - 10th International Conference of Applied Science, Banja Luka
T1  - Solving Practical Engineering Problems of Structural Strength-Application of Dynamic Reanalysis Method and Model Testing
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6110
ER  - 

@conference{
author = "Petrović, Ana and Li, Wei and Trišović, Nataša and Momčilović, Nikola",
year = "2022",
abstract = "There are numeruos examples of failure of responsible parts of steel structures.
When failure occurs, series of procedures are performed in order to obtain the cause of
failure and to repair the damage. However, prevention of failure should be given higher
importance. That means that one can predict reaction of construction in any unexpected
circumstances, having owerall knowledge about construction. Actually, dynamic
reanalysis method and model testing could give comprehensive insight into structural
behavior of construction. Dynamic reanalysis method implies that the stress is not the
only indicator of weak points in structural design. One should know modal shapes and
natural frequencies, and distribution of potential and kinetic energy in the main modes.
In fact, the main mode shapes show how the structure behaves under some possible
load. Reanalysis method is based on distribution (of difference) of kinetic and potential
energy and involves the transformation of the existing models in the new (better) one.
Model testing represents one of the solutions to obtain the whole picture of
construction behavior and includes creation of sub-scaled model in order to anticipate
the behavior of the real construction, regarding the behavior of the model. Model
testing enables to predict the stresses and deformations, and dynamic behaviour of the
real structure regarding the stresses and deformations of the model, and testing on the
model instead of the actual construction results in a great saving of money and time.
Once again, dynamic reanalysis method and model testing give owerall knowledge
about construction.",
journal = "10th International Conference of Applied Science, Banja Luka",
title = "Solving Practical Engineering Problems of Structural Strength-Application of Dynamic Reanalysis Method and Model Testing",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6110"
}

Petrović, A., Li, W., Trišović, N.,& Momčilović, N.. (2022). Solving Practical Engineering Problems of Structural Strength-Application of Dynamic Reanalysis Method and Model Testing. in 10th International Conference of Applied Science, Banja Luka.
https://hdl.handle.net/21.15107/rcub_machinery_6110

Petrović A, Li W, Trišović N, Momčilović N. Solving Practical Engineering Problems of Structural Strength-Application of Dynamic Reanalysis Method and Model Testing. in 10th International Conference of Applied Science, Banja Luka. 2022;.
https://hdl.handle.net/21.15107/rcub_machinery_6110 .

Petrović, Ana, Li, Wei, Trišović, Nataša, Momčilović, Nikola, "Solving Practical Engineering Problems of Structural Strength-Application of Dynamic Reanalysis Method and Model Testing" in 10th International Conference of Applied Science, Banja Luka (2022),
https://hdl.handle.net/21.15107/rcub_machinery_6110 .

TY  - JOUR
AU  - Li, Wei
AU  - Li, M.
AU  - Trišović, Nataša
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3830
AB  - In this paper, a two-stage tumor-immune system with Gaussian white noises is investigated in order to understand the interaction mechanism between tumor cells and the immune system. Based on Langevin theory and the Fokker–Planck (FP) equation, a set of differential equations that governing the second-order moments of cells are obtained and solved. Following this, the statistical properties including the volatility of cell density, Fano factor, sensitivity analysis are discussed, respectively. It is concluded that mature immune cells around the tumor-free state change in a bigger range with regard to the noise intensity. However, the tumor cells around the tumor-present state have remarkable volatility all the time no matter what size of the noise intensity. In addition, the relative size of fluctuation described by Fano factors illustrates that Michaelis saturation coefficient and killing rate can bring larger fluctuation to the tumor cells, but dead rate and proliferation rate can greatly affect the fluctuation size of the mature immune cells. The sensitivity coefficients of three kinds of cells proved that the density of tumor cells are sensitively influenced by all the parametric values, but the mature immune cells are almost independent of the differentiation rate during the process from the immature to the mature immune cells.
PB  - Springer Science and Business Media Deutschland GmbH
T2  - International Journal of Dynamics and Control
T1  - Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises
DO  - 10.1007/s40435-022-00959-9
ER  - 

@article{
author = "Li, Wei and Li, M. and Trišović, Nataša",
year = "2022",
abstract = "In this paper, a two-stage tumor-immune system with Gaussian white noises is investigated in order to understand the interaction mechanism between tumor cells and the immune system. Based on Langevin theory and the Fokker–Planck (FP) equation, a set of differential equations that governing the second-order moments of cells are obtained and solved. Following this, the statistical properties including the volatility of cell density, Fano factor, sensitivity analysis are discussed, respectively. It is concluded that mature immune cells around the tumor-free state change in a bigger range with regard to the noise intensity. However, the tumor cells around the tumor-present state have remarkable volatility all the time no matter what size of the noise intensity. In addition, the relative size of fluctuation described by Fano factors illustrates that Michaelis saturation coefficient and killing rate can bring larger fluctuation to the tumor cells, but dead rate and proliferation rate can greatly affect the fluctuation size of the mature immune cells. The sensitivity coefficients of three kinds of cells proved that the density of tumor cells are sensitively influenced by all the parametric values, but the mature immune cells are almost independent of the differentiation rate during the process from the immature to the mature immune cells.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "International Journal of Dynamics and Control",
title = "Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises",
doi = "10.1007/s40435-022-00959-9"
}

Li, W., Li, M.,& Trišović, N.. (2022). Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises. in International Journal of Dynamics and Control
Springer Science and Business Media Deutschland GmbH..
https://doi.org/10.1007/s40435-022-00959-9

Li W, Li M, Trišović N. Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises. in International Journal of Dynamics and Control. 2022;.
doi:10.1007/s40435-022-00959-9 .

Li, Wei, Li, M., Trišović, Nataša, "Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises" in International Journal of Dynamics and Control (2022),
https://doi.org/10.1007/s40435-022-00959-9 . .

TY  - JOUR
AU  - Kirin, Snežana
AU  - Sedmak, Aleksandar
AU  - Li, Wei
AU  - Brzaković, Miodrag
AU  - Miljanović, Igor
AU  - Petrović, Ana
AU  - Sedmak, Simon
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3509
AB  - Risk management aims to provide a controlled work environment to ensure the safe operation of the high-risk systems. It is a dynamic process which work in a continual state of change. The issue of human factor risk and rules and regulations in open pit mine is a main focus of this paper in order to develop predictive models of behavior of workers in relation to compliance with the procedures and rules. Presented survey was conducted in open pit coal mine, as high-risk system, involving 476 mineworkers. The survey was in the form of a questionnaire, consisting of approximately 45 questions. It aimed to find out the opinions of the mining workforce about risk attitude generally as well as about safety rules and regulations. The first goal was to determine factor with the biggest influence on risk of human factor. The second goal was creation model for prediction behavior of mining workers. The survey also aimed to examine: (a) major human risk factors at a specific open-pit mine site (b) mine workers' opinions about policies and procedures; (c) the manner in which mine safety rules and regulations are perceived and understood; (d) the frequency of deviation from rules and regulations; (e) attitudes related to risk taking and their interaction with rules and regulations; and (f) anticipate the behavior of mining workers with respect to compliance with policies and procedures. In addition, a case study is presented, related to failure of mining equipment, the SchRs 630 bucket wheel excavator, which had occurred due to excessive loads caused by a human factor, such as inadequate operation of the equipment. The goal here was to further relate the effects of the human factor to the structural integrity, by providing a reliable numerical model which could be used to determine the critical locations where failures could occur, and by combining this approach with the previously described risk analysis methodology, structure safety can be improved.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Engineering Failure Analysis
T1  - Human factor risk management procedures applied in the case of open pit mine
VL  - 126
DO  - 10.1016/j.engfailanal.2021.105456
ER  - 

@article{
author = "Kirin, Snežana and Sedmak, Aleksandar and Li, Wei and Brzaković, Miodrag and Miljanović, Igor and Petrović, Ana and Sedmak, Simon",
year = "2021",
abstract = "Risk management aims to provide a controlled work environment to ensure the safe operation of the high-risk systems. It is a dynamic process which work in a continual state of change. The issue of human factor risk and rules and regulations in open pit mine is a main focus of this paper in order to develop predictive models of behavior of workers in relation to compliance with the procedures and rules. Presented survey was conducted in open pit coal mine, as high-risk system, involving 476 mineworkers. The survey was in the form of a questionnaire, consisting of approximately 45 questions. It aimed to find out the opinions of the mining workforce about risk attitude generally as well as about safety rules and regulations. The first goal was to determine factor with the biggest influence on risk of human factor. The second goal was creation model for prediction behavior of mining workers. The survey also aimed to examine: (a) major human risk factors at a specific open-pit mine site (b) mine workers' opinions about policies and procedures; (c) the manner in which mine safety rules and regulations are perceived and understood; (d) the frequency of deviation from rules and regulations; (e) attitudes related to risk taking and their interaction with rules and regulations; and (f) anticipate the behavior of mining workers with respect to compliance with policies and procedures. In addition, a case study is presented, related to failure of mining equipment, the SchRs 630 bucket wheel excavator, which had occurred due to excessive loads caused by a human factor, such as inadequate operation of the equipment. The goal here was to further relate the effects of the human factor to the structural integrity, by providing a reliable numerical model which could be used to determine the critical locations where failures could occur, and by combining this approach with the previously described risk analysis methodology, structure safety can be improved.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Engineering Failure Analysis",
title = "Human factor risk management procedures applied in the case of open pit mine",
volume = "126",
doi = "10.1016/j.engfailanal.2021.105456"
}

Kirin, S., Sedmak, A., Li, W., Brzaković, M., Miljanović, I., Petrović, A.,& Sedmak, S.. (2021). Human factor risk management procedures applied in the case of open pit mine. in Engineering Failure Analysis
Pergamon-Elsevier Science Ltd, Oxford., 126.
https://doi.org/10.1016/j.engfailanal.2021.105456

Kirin S, Sedmak A, Li W, Brzaković M, Miljanović I, Petrović A, Sedmak S. Human factor risk management procedures applied in the case of open pit mine. in Engineering Failure Analysis. 2021;126.
doi:10.1016/j.engfailanal.2021.105456 .

Kirin, Snežana, Sedmak, Aleksandar, Li, Wei, Brzaković, Miodrag, Miljanović, Igor, Petrović, Ana, Sedmak, Simon, "Human factor risk management procedures applied in the case of open pit mine" in Engineering Failure Analysis, 126 (2021),
https://doi.org/10.1016/j.engfailanal.2021.105456 . .

TY  - JOUR
AU  - Zaidi, Radzeya
AU  - Sedmak, Aleksandar
AU  - Kirin, Snežana
AU  - Grbović, Aleksandar
AU  - Li, Wei
AU  - Lazić-Vulicević, Ljubica
AU  - Šarkočević, Živče
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3395
AB  - Risk assessment procedure based on structural integrity and life estimation has been introduced and applied to oil drilling rig welded pipe. The new concept based on application of structural integrity and life estimation to assess risk level according to probability and consequence of failure was used. Oil drilling rig welded pipe integrity has been assessed by simple application of the Failure Assessment Diagramme (FAD), i.e. by using the ratio of linear elastic fracture mechanics parameter, K-I, and its critical value, K-IC, in relation with the ratio of applied stress and its critical value, to define the point in FAD. Probability of failure is then taken according to the position of the point in the FAD, corresponding to oil drilling rig welded pipe data. Then, the FEM has been applied to calculate more precisely the strain and stress state and to get another, less conservative, risk assessment. Oil drilling rig welded pipe life has been estimated by simple integration of the Paris law, as well as by more complex simulation of fatigue crack growth, using the extended Finite Element Method (xFEM). Probability of failure is then taken as the ratio of the number of cycles for a given crack length and the number of cycles for the critical crack length. These analyses are useful for managers to make decision about further use of damaged pipes, based on data provided by engineers. Also, the procedure introduced here for risk assessment is not limited to oil drilling rig pipes, but it is rather a general one, applicable to any component with known geometry, material properties and loading data.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Engineering Failure Analysis
T1  - Risk assessment of oil drilling rig welded pipe based on structural integrity and life estimation
VL  - 112
DO  - 10.1016/j.engfailanal.2020.104508
ER  - 

@article{
author = "Zaidi, Radzeya and Sedmak, Aleksandar and Kirin, Snežana and Grbović, Aleksandar and Li, Wei and Lazić-Vulicević, Ljubica and Šarkočević, Živče",
year = "2020",
abstract = "Risk assessment procedure based on structural integrity and life estimation has been introduced and applied to oil drilling rig welded pipe. The new concept based on application of structural integrity and life estimation to assess risk level according to probability and consequence of failure was used. Oil drilling rig welded pipe integrity has been assessed by simple application of the Failure Assessment Diagramme (FAD), i.e. by using the ratio of linear elastic fracture mechanics parameter, K-I, and its critical value, K-IC, in relation with the ratio of applied stress and its critical value, to define the point in FAD. Probability of failure is then taken according to the position of the point in the FAD, corresponding to oil drilling rig welded pipe data. Then, the FEM has been applied to calculate more precisely the strain and stress state and to get another, less conservative, risk assessment. Oil drilling rig welded pipe life has been estimated by simple integration of the Paris law, as well as by more complex simulation of fatigue crack growth, using the extended Finite Element Method (xFEM). Probability of failure is then taken as the ratio of the number of cycles for a given crack length and the number of cycles for the critical crack length. These analyses are useful for managers to make decision about further use of damaged pipes, based on data provided by engineers. Also, the procedure introduced here for risk assessment is not limited to oil drilling rig pipes, but it is rather a general one, applicable to any component with known geometry, material properties and loading data.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Engineering Failure Analysis",
title = "Risk assessment of oil drilling rig welded pipe based on structural integrity and life estimation",
volume = "112",
doi = "10.1016/j.engfailanal.2020.104508"
}

Zaidi, R., Sedmak, A., Kirin, S., Grbović, A., Li, W., Lazić-Vulicević, L.,& Šarkočević, Ž.. (2020). Risk assessment of oil drilling rig welded pipe based on structural integrity and life estimation. in Engineering Failure Analysis
Pergamon-Elsevier Science Ltd, Oxford., 112.
https://doi.org/10.1016/j.engfailanal.2020.104508

Zaidi R, Sedmak A, Kirin S, Grbović A, Li W, Lazić-Vulicević L, Šarkočević Ž. Risk assessment of oil drilling rig welded pipe based on structural integrity and life estimation. in Engineering Failure Analysis. 2020;112.
doi:10.1016/j.engfailanal.2020.104508 .

Zaidi, Radzeya, Sedmak, Aleksandar, Kirin, Snežana, Grbović, Aleksandar, Li, Wei, Lazić-Vulicević, Ljubica, Šarkočević, Živče, "Risk assessment of oil drilling rig welded pipe based on structural integrity and life estimation" in Engineering Failure Analysis, 112 (2020),
https://doi.org/10.1016/j.engfailanal.2020.104508 . .

TY  - CONF
AU  - Kirin, Snežana
AU  - Li, Wei
AU  - Brzaković, Miodrag
AU  - Miljanović, Igor
AU  - Sedmak, Aleksandar
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3312
AB  - The issue of human factor risk and rules and regulations in open pit mine is a main focus of this paper in order to develop predictive models of behavior of workers in relation to compliance with the procedures and rules. Presented survey was conducted in open pit coal mine, as high-risk system, involving 476 mineworkers. The survey was in the form of a questionnaire, consisting of 45 questions, aimed to fmd out the opinions of the mining workforce about risk attitude generally as well as about safety rules and regulations.
PB  - Elsevier, Amsterdam
C3  - Procedia Structural Integrity - 1st Virtual European Conference on Fracture - Vecf1
T1  - Rules of Risk Management - Case Study of Open Pit Mine
EP  - 769
SP  - 764
VL  - 28
DO  - 10.1016/j.prostr.2020.10.088
ER  - 

@conference{
author = "Kirin, Snežana and Li, Wei and Brzaković, Miodrag and Miljanović, Igor and Sedmak, Aleksandar",
year = "2020",
abstract = "The issue of human factor risk and rules and regulations in open pit mine is a main focus of this paper in order to develop predictive models of behavior of workers in relation to compliance with the procedures and rules. Presented survey was conducted in open pit coal mine, as high-risk system, involving 476 mineworkers. The survey was in the form of a questionnaire, consisting of 45 questions, aimed to fmd out the opinions of the mining workforce about risk attitude generally as well as about safety rules and regulations.",
publisher = "Elsevier, Amsterdam",
journal = "Procedia Structural Integrity - 1st Virtual European Conference on Fracture - Vecf1",
title = "Rules of Risk Management - Case Study of Open Pit Mine",
pages = "769-764",
volume = "28",
doi = "10.1016/j.prostr.2020.10.088"
}

Kirin, S., Li, W., Brzaković, M., Miljanović, I.,& Sedmak, A.. (2020). Rules of Risk Management - Case Study of Open Pit Mine. in Procedia Structural Integrity - 1st Virtual European Conference on Fracture - Vecf1
Elsevier, Amsterdam., 28, 764-769.
https://doi.org/10.1016/j.prostr.2020.10.088

Kirin S, Li W, Brzaković M, Miljanović I, Sedmak A. Rules of Risk Management - Case Study of Open Pit Mine. in Procedia Structural Integrity - 1st Virtual European Conference on Fracture - Vecf1. 2020;28:764-769.
doi:10.1016/j.prostr.2020.10.088 .

Kirin, Snežana, Li, Wei, Brzaković, Miodrag, Miljanović, Igor, Sedmak, Aleksandar, "Rules of Risk Management - Case Study of Open Pit Mine" in Procedia Structural Integrity - 1st Virtual European Conference on Fracture - Vecf1, 28 (2020):764-769,
https://doi.org/10.1016/j.prostr.2020.10.088 . .

TY  - JOUR
AU  - Radu, Dorin
AU  - Sedmak, Aleksandar
AU  - Sedmak, Simon
AU  - Li, Wei
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3326
AB  - Existing flaws in critical parts of structural elements may lead to failures of subassemblies and, in case of lack of redundancy, even to the entire structure collapse. Considering the case of cyclic loading - wind load (including extreme phenomena as storms or blizzards), in which some of these type of structures have failed/collapsed, the post factum assessment, indicated the principal damage causes, i.e. existing welding flaws in combination with corrosion (surface flaws). The paper presents the fitness-for-purpose analysis, i.e. Engineering Critical Assessment, applied during design, in order to assist in the choice of welding procedure and/or inspection techniques. The evaluation is made with BS7910/2013 standard using level 2 failure assessment diagrams for possible discovered flaws, considering a real case assessment - a new designed steel monopole type antenna tower structure.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Engineering Failure Analysis
T1  - Engineering critical assessment of steel shell structure elements welded joints under high cycle fatigue
VL  - 114
DO  - 10.1016/j.engfailanal.2020.104578
ER  - 

@article{
author = "Radu, Dorin and Sedmak, Aleksandar and Sedmak, Simon and Li, Wei",
year = "2020",
abstract = "Existing flaws in critical parts of structural elements may lead to failures of subassemblies and, in case of lack of redundancy, even to the entire structure collapse. Considering the case of cyclic loading - wind load (including extreme phenomena as storms or blizzards), in which some of these type of structures have failed/collapsed, the post factum assessment, indicated the principal damage causes, i.e. existing welding flaws in combination with corrosion (surface flaws). The paper presents the fitness-for-purpose analysis, i.e. Engineering Critical Assessment, applied during design, in order to assist in the choice of welding procedure and/or inspection techniques. The evaluation is made with BS7910/2013 standard using level 2 failure assessment diagrams for possible discovered flaws, considering a real case assessment - a new designed steel monopole type antenna tower structure.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Engineering Failure Analysis",
title = "Engineering critical assessment of steel shell structure elements welded joints under high cycle fatigue",
volume = "114",
doi = "10.1016/j.engfailanal.2020.104578"
}

Radu, D., Sedmak, A., Sedmak, S.,& Li, W.. (2020). Engineering critical assessment of steel shell structure elements welded joints under high cycle fatigue. in Engineering Failure Analysis
Pergamon-Elsevier Science Ltd, Oxford., 114.
https://doi.org/10.1016/j.engfailanal.2020.104578

Radu D, Sedmak A, Sedmak S, Li W. Engineering critical assessment of steel shell structure elements welded joints under high cycle fatigue. in Engineering Failure Analysis. 2020;114.
doi:10.1016/j.engfailanal.2020.104578 .

Radu, Dorin, Sedmak, Aleksandar, Sedmak, Simon, Li, Wei, "Engineering critical assessment of steel shell structure elements welded joints under high cycle fatigue" in Engineering Failure Analysis, 114 (2020),
https://doi.org/10.1016/j.engfailanal.2020.104578 . .

TY  - CONF
AU  - Trišović, Nataša
AU  - Misita, Mirjana
AU  - Li, Wei
AU  - Petrović, Ana
AU  - Trišović, Zaga
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5983
AB  - The methods of structural dynamic modification, especially those with their roots in finite
element models, have often been described as reanalysis. The paper will discuss the introducing
of a probabilistic treatment of important problem parameters. Based on the investigation
performed in the [26], further research included the execution of simulations kinetic and potential
energy, growth rates Ek and Ep, differences in growth rates, first frequency in a cantilever beam
and a modified beam for 1000 values of Young’s modulus of elasticity according to the Gaussian
distribution.
C3  - Proceedings of the 7th International Congress of Serbian Society of Mechanics
T1  - Probabilistic approach in the dynamic reanalysis
IS  - S4e
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5983
ER  - 

@conference{
author = "Trišović, Nataša and Misita, Mirjana and Li, Wei and Petrović, Ana and Trišović, Zaga",
year = "2019",
abstract = "The methods of structural dynamic modification, especially those with their roots in finite
element models, have often been described as reanalysis. The paper will discuss the introducing
of a probabilistic treatment of important problem parameters. Based on the investigation
performed in the [26], further research included the execution of simulations kinetic and potential
energy, growth rates Ek and Ep, differences in growth rates, first frequency in a cantilever beam
and a modified beam for 1000 values of Young’s modulus of elasticity according to the Gaussian
distribution.",
journal = "Proceedings of the 7th International Congress of Serbian Society of Mechanics",
title = "Probabilistic approach in the dynamic reanalysis",
number = "S4e",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5983"
}

Trišović, N., Misita, M., Li, W., Petrović, A.,& Trišović, Z.. (2019). Probabilistic approach in the dynamic reanalysis. in Proceedings of the 7th International Congress of Serbian Society of Mechanics(S4e).
https://hdl.handle.net/21.15107/rcub_machinery_5983

Trišović N, Misita M, Li W, Petrović A, Trišović Z. Probabilistic approach in the dynamic reanalysis. in Proceedings of the 7th International Congress of Serbian Society of Mechanics. 2019;(S4e).
https://hdl.handle.net/21.15107/rcub_machinery_5983 .

Trišović, Nataša, Misita, Mirjana, Li, Wei, Petrović, Ana, Trišović, Zaga, "Probabilistic approach in the dynamic reanalysis" in Proceedings of the 7th International Congress of Serbian Society of Mechanics, no. S4e (2019),
https://hdl.handle.net/21.15107/rcub_machinery_5983 .

TY  - JOUR
AU  - Li, Wei
AU  - Huang, Dongmei
AU  - Zhang, Meiting
AU  - Trišović, Nataša
AU  - Zhao, Junfeng
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3145
AB  - Fractional-order PID (FOPID) controller, as the results of recent development of fractional calculus, is becoming wide-used in many deterministic dynamical systems, but not in stochastic dynamical systems. This paper explores stochastic bifurcation of a generalized Van del Pol (VDP) system under the control of FOPID controller. Firstly, introducing the transformation between fast-varying and slow-varying variables of the system response, and utilizing the properties of fractional calculus, we obtain a new expression in the form of slow-varying variables for FOPID controller. Based on this work, the stochastic averaging method is applied to obtain the Fokker-Planck-Kolmogorov (FPK) equation and the stationary probability density function (PDF) of the amplitude response. Then a new numerical algorithm is proposed to testify the analytical results in the case of the coexistence of fractional integral and fractional derivative. After that, stochastic bifurcations induced by the order of the fractional integral, the order of the fractional derivative and the coefficient in FOPID controller are investigated in detail. The agreement between analytical and numerical results verifies the correctness and effectiveness of our proposed methods.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Chaos Solitons & Fractals
T1  - Bifurcation control of a generalized VDP system driven by color-noise excitation via FOPID controller
EP  - 38
SP  - 30
VL  - 121
DO  - 10.1016/j.chaos.2019.01.026
ER  - 

@article{
author = "Li, Wei and Huang, Dongmei and Zhang, Meiting and Trišović, Nataša and Zhao, Junfeng",
year = "2019",
abstract = "Fractional-order PID (FOPID) controller, as the results of recent development of fractional calculus, is becoming wide-used in many deterministic dynamical systems, but not in stochastic dynamical systems. This paper explores stochastic bifurcation of a generalized Van del Pol (VDP) system under the control of FOPID controller. Firstly, introducing the transformation between fast-varying and slow-varying variables of the system response, and utilizing the properties of fractional calculus, we obtain a new expression in the form of slow-varying variables for FOPID controller. Based on this work, the stochastic averaging method is applied to obtain the Fokker-Planck-Kolmogorov (FPK) equation and the stationary probability density function (PDF) of the amplitude response. Then a new numerical algorithm is proposed to testify the analytical results in the case of the coexistence of fractional integral and fractional derivative. After that, stochastic bifurcations induced by the order of the fractional integral, the order of the fractional derivative and the coefficient in FOPID controller are investigated in detail. The agreement between analytical and numerical results verifies the correctness and effectiveness of our proposed methods.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Chaos Solitons & Fractals",
title = "Bifurcation control of a generalized VDP system driven by color-noise excitation via FOPID controller",
pages = "38-30",
volume = "121",
doi = "10.1016/j.chaos.2019.01.026"
}

Li, W., Huang, D., Zhang, M., Trišović, N.,& Zhao, J.. (2019). Bifurcation control of a generalized VDP system driven by color-noise excitation via FOPID controller. in Chaos Solitons & Fractals
Pergamon-Elsevier Science Ltd, Oxford., 121, 30-38.
https://doi.org/10.1016/j.chaos.2019.01.026

Li W, Huang D, Zhang M, Trišović N, Zhao J. Bifurcation control of a generalized VDP system driven by color-noise excitation via FOPID controller. in Chaos Solitons & Fractals. 2019;121:30-38.
doi:10.1016/j.chaos.2019.01.026 .

Li, Wei, Huang, Dongmei, Zhang, Meiting, Trišović, Nataša, Zhao, Junfeng, "Bifurcation control of a generalized VDP system driven by color-noise excitation via FOPID controller" in Chaos Solitons & Fractals, 121 (2019):30-38,
https://doi.org/10.1016/j.chaos.2019.01.026 . .

TY  - JOUR
AU  - Li, Wei
AU  - Chen, Lincong
AU  - Zhao, Junfeng
AU  - Trišović, Nataša
PY  - 2018
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2768
AB  - In this paper, the reliability of stochastic dynamical systems under Gaussian white noise excitations with fractional order proportional-inegral-derivative (FOPID) controller is estimated. First, the FOPID controller is approximated by a set of combination of displacement and velocity based on the generalized van der Pol transformation. Then, the stochastic averaging method of energy envelope is applied to obtain a diffusive differential equation, from which the Backward Kolmogorov equation, governing the conditional reliability function, and the Generalized Pontryagin equation, governing the statistical moments of first-passage time, are derived from the averaged equation and solved numerically. Finally, in the two examples, the critical parameters in the FOPID controller are shown to be capable of improving the reliability of the stochastic dynamical system apparently, and all numerical results are verified to be efficient and correct by the Monte Carlo simulation.
PB  - World Scientific Publ Co Pte Ltd, Singapore
T2  - International Journal of Structural Stability and Dynamics
T1  - Reliability Estimation of Stochastic Dynamical Systems with Fractional Order PID Controller
IS  - 6
VL  - 18
DO  - 10.1142/S0219455418500839
ER  - 

@article{
author = "Li, Wei and Chen, Lincong and Zhao, Junfeng and Trišović, Nataša",
year = "2018",
abstract = "In this paper, the reliability of stochastic dynamical systems under Gaussian white noise excitations with fractional order proportional-inegral-derivative (FOPID) controller is estimated. First, the FOPID controller is approximated by a set of combination of displacement and velocity based on the generalized van der Pol transformation. Then, the stochastic averaging method of energy envelope is applied to obtain a diffusive differential equation, from which the Backward Kolmogorov equation, governing the conditional reliability function, and the Generalized Pontryagin equation, governing the statistical moments of first-passage time, are derived from the averaged equation and solved numerically. Finally, in the two examples, the critical parameters in the FOPID controller are shown to be capable of improving the reliability of the stochastic dynamical system apparently, and all numerical results are verified to be efficient and correct by the Monte Carlo simulation.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "International Journal of Structural Stability and Dynamics",
title = "Reliability Estimation of Stochastic Dynamical Systems with Fractional Order PID Controller",
number = "6",
volume = "18",
doi = "10.1142/S0219455418500839"
}

Li, W., Chen, L., Zhao, J.,& Trišović, N.. (2018). Reliability Estimation of Stochastic Dynamical Systems with Fractional Order PID Controller. in International Journal of Structural Stability and Dynamics
World Scientific Publ Co Pte Ltd, Singapore., 18(6).
https://doi.org/10.1142/S0219455418500839

Li W, Chen L, Zhao J, Trišović N. Reliability Estimation of Stochastic Dynamical Systems with Fractional Order PID Controller. in International Journal of Structural Stability and Dynamics. 2018;18(6).
doi:10.1142/S0219455418500839 .

Li, Wei, Chen, Lincong, Zhao, Junfeng, Trišović, Nataša, "Reliability Estimation of Stochastic Dynamical Systems with Fractional Order PID Controller" in International Journal of Structural Stability and Dynamics, 18, no. 6 (2018),
https://doi.org/10.1142/S0219455418500839 . .

TY  - CONF
AU  - Petrović, Ana
AU  - Maneski, Taško
AU  - Ignjatović, Dragan
AU  - Trišović, Nataša
AU  - Grozdanović, Ines
AU  - Li, Wei
PY  - 2018
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2853
AB  - The possibilities of testing real constructions strength are often limited, especially in case of large constructions. Testing on the model, instead of the actual construction, results in a great saving of money and time. Sub -scaled model of the construction of the substructure, the slewing platform and the lower part of the pylons of the bucket wheel excavator SchRs630 is made. Numerical calculations (using Finite Element Method) and experimental testing of the model were performed. Experimental testing is performed using classical strain gauge method and Digital Image Correlation Method (Aramis system). Once again, advantages of Digital Image Correlation method compared to classical measurement methods are confirmed. The negative impact of conventional manufacturing methods in some zones is noticed.
PB  - Elsevier Science Bv, Amsterdam
C3  - Procedia Structural Integrity - ECF22 - Loading and environmental effects on structural integrity
T1  - Model analysis of complex structures - advantages of physical sub-scaled model testing and shortcomings in physical model production
EP  - 460
SP  - 456
VL  - 13
DO  - 10.1016/j.prostr.2018.12.076
ER  - 

@conference{
author = "Petrović, Ana and Maneski, Taško and Ignjatović, Dragan and Trišović, Nataša and Grozdanović, Ines and Li, Wei",
year = "2018",
abstract = "The possibilities of testing real constructions strength are often limited, especially in case of large constructions. Testing on the model, instead of the actual construction, results in a great saving of money and time. Sub -scaled model of the construction of the substructure, the slewing platform and the lower part of the pylons of the bucket wheel excavator SchRs630 is made. Numerical calculations (using Finite Element Method) and experimental testing of the model were performed. Experimental testing is performed using classical strain gauge method and Digital Image Correlation Method (Aramis system). Once again, advantages of Digital Image Correlation method compared to classical measurement methods are confirmed. The negative impact of conventional manufacturing methods in some zones is noticed.",
publisher = "Elsevier Science Bv, Amsterdam",
journal = "Procedia Structural Integrity - ECF22 - Loading and environmental effects on structural integrity",
title = "Model analysis of complex structures - advantages of physical sub-scaled model testing and shortcomings in physical model production",
pages = "460-456",
volume = "13",
doi = "10.1016/j.prostr.2018.12.076"
}

Petrović, A., Maneski, T., Ignjatović, D., Trišović, N., Grozdanović, I.,& Li, W.. (2018). Model analysis of complex structures - advantages of physical sub-scaled model testing and shortcomings in physical model production. in Procedia Structural Integrity - ECF22 - Loading and environmental effects on structural integrity
Elsevier Science Bv, Amsterdam., 13, 456-460.
https://doi.org/10.1016/j.prostr.2018.12.076

Petrović A, Maneski T, Ignjatović D, Trišović N, Grozdanović I, Li W. Model analysis of complex structures - advantages of physical sub-scaled model testing and shortcomings in physical model production. in Procedia Structural Integrity - ECF22 - Loading and environmental effects on structural integrity. 2018;13:456-460.
doi:10.1016/j.prostr.2018.12.076 .

Petrović, Ana, Maneski, Taško, Ignjatović, Dragan, Trišović, Nataša, Grozdanović, Ines, Li, Wei, "Model analysis of complex structures - advantages of physical sub-scaled model testing and shortcomings in physical model production" in Procedia Structural Integrity - ECF22 - Loading and environmental effects on structural integrity, 13 (2018):456-460,
https://doi.org/10.1016/j.prostr.2018.12.076 . .

TY  - JOUR
AU  - Kraedegh, Abubakr
AU  - Li, Wei
AU  - Sedmak, Aleksandar
AU  - Grbović, Aleksandar
AU  - Trišović, Nataša
AU  - Mitrović, Radivoje
AU  - Kirin, Snežana
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2730
AB  - Fatigue crack growth in friction stir welded T joints under three point bending is simulated numerically using the Extended Finite Element Method (XFEM). Three point bending fatigue load stress is applied at the centre of the plate opposite to the initial crack, with a ratio of stress intensity R = 0 and maximum stress. = 10 MPa. The material properties of all welded regions in the joint, made of aluminium alloy A2024-T351, are adopted from available experiments. All fatigue crack propagation and growth including crack front coordinates (x, y, z) and stress intensity factors (KI, KII, KIII and Kef) are extracted from the analysis results.
PB  - Institut za ispitivanje materijala, Beograd
T2  - Structural Integrity and Life
T1  - Simulation of fatigue crack growth in a2024-t351 t-welded joint
EP  - 6
IS  - 1
SP  - 3
VL  - 17
UR  - https://hdl.handle.net/21.15107/rcub_machinery_2730
ER  - 

@article{
author = "Kraedegh, Abubakr and Li, Wei and Sedmak, Aleksandar and Grbović, Aleksandar and Trišović, Nataša and Mitrović, Radivoje and Kirin, Snežana",
year = "2017",
abstract = "Fatigue crack growth in friction stir welded T joints under three point bending is simulated numerically using the Extended Finite Element Method (XFEM). Three point bending fatigue load stress is applied at the centre of the plate opposite to the initial crack, with a ratio of stress intensity R = 0 and maximum stress. = 10 MPa. The material properties of all welded regions in the joint, made of aluminium alloy A2024-T351, are adopted from available experiments. All fatigue crack propagation and growth including crack front coordinates (x, y, z) and stress intensity factors (KI, KII, KIII and Kef) are extracted from the analysis results.",
publisher = "Institut za ispitivanje materijala, Beograd",
journal = "Structural Integrity and Life",
title = "Simulation of fatigue crack growth in a2024-t351 t-welded joint",
pages = "6-3",
number = "1",
volume = "17",
url = "https://hdl.handle.net/21.15107/rcub_machinery_2730"
}

Kraedegh, A., Li, W., Sedmak, A., Grbović, A., Trišović, N., Mitrović, R.,& Kirin, S.. (2017). Simulation of fatigue crack growth in a2024-t351 t-welded joint. in Structural Integrity and Life
Institut za ispitivanje materijala, Beograd., 17(1), 3-6.
https://hdl.handle.net/21.15107/rcub_machinery_2730

Kraedegh A, Li W, Sedmak A, Grbović A, Trišović N, Mitrović R, Kirin S. Simulation of fatigue crack growth in a2024-t351 t-welded joint. in Structural Integrity and Life. 2017;17(1):3-6.
https://hdl.handle.net/21.15107/rcub_machinery_2730 .

Kraedegh, Abubakr, Li, Wei, Sedmak, Aleksandar, Grbović, Aleksandar, Trišović, Nataša, Mitrović, Radivoje, Kirin, Snežana, "Simulation of fatigue crack growth in a2024-t351 t-welded joint" in Structural Integrity and Life, 17, no. 1 (2017):3-6,
https://hdl.handle.net/21.15107/rcub_machinery_2730 .

TY  - CONF
AU  - Trišović, Nataša
AU  - Li, Wei
AU  - Mladenović, Nikola
AU  - Jeremić, Olivera
AU  - Grozdanović, Ines
AU  - Petrović, Ana
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5987
AB  - Sensitivity analysis is the study of changes in system response with respect to design parameters.
It is being used in a variety of engineering disciplines ranging from automatic control theory to
the analysis of large-scale physiological systems. Some of areas where sensitivity analysis has
been applied include: development of insensitive control systems, use in gradient-based
mathematical programming methods and approximation of system response to change in a system
parameter, assessment of design changes on system performance. Eigensensitivity analysis
represents a collection of mathematical methods for analyzing structures which is, within
dynamical modification, related to sensitivity of eigenvalues and eigenvectors. Therefore, the
application of sensitivity analysis is limited to construction of segments for which necessary
mathematical relations can be determined. If this is not possible, sensitivity analysis is only
partially applicable. Eigenvalue sensitivity analysis is useful when resonant frequencies need to
be restricted. Different methods for analyzing structural eigensensitivity are considered. An
example is given to illustrate an optimization problem for a system with repeated frequencies.
C3  - Proceedings of the 6th International Congress of Serbian Society of Mechanics
T1  - Eigensensitivity andstructural optimization with accent on the repeated frequencies
IS  - S6d
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5987
ER  - 

@conference{
author = "Trišović, Nataša and Li, Wei and Mladenović, Nikola and Jeremić, Olivera and Grozdanović, Ines and Petrović, Ana",
year = "2017",
abstract = "Sensitivity analysis is the study of changes in system response with respect to design parameters.
It is being used in a variety of engineering disciplines ranging from automatic control theory to
the analysis of large-scale physiological systems. Some of areas where sensitivity analysis has
been applied include: development of insensitive control systems, use in gradient-based
mathematical programming methods and approximation of system response to change in a system
parameter, assessment of design changes on system performance. Eigensensitivity analysis
represents a collection of mathematical methods for analyzing structures which is, within
dynamical modification, related to sensitivity of eigenvalues and eigenvectors. Therefore, the
application of sensitivity analysis is limited to construction of segments for which necessary
mathematical relations can be determined. If this is not possible, sensitivity analysis is only
partially applicable. Eigenvalue sensitivity analysis is useful when resonant frequencies need to
be restricted. Different methods for analyzing structural eigensensitivity are considered. An
example is given to illustrate an optimization problem for a system with repeated frequencies.",
journal = "Proceedings of the 6th International Congress of Serbian Society of Mechanics",
title = "Eigensensitivity andstructural optimization with accent on the repeated frequencies",
number = "S6d",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5987"
}

Trišović, N., Li, W., Mladenović, N., Jeremić, O., Grozdanović, I.,& Petrović, A.. (2017). Eigensensitivity andstructural optimization with accent on the repeated frequencies. in Proceedings of the 6th International Congress of Serbian Society of Mechanics(S6d).
https://hdl.handle.net/21.15107/rcub_machinery_5987

Trišović N, Li W, Mladenović N, Jeremić O, Grozdanović I, Petrović A. Eigensensitivity andstructural optimization with accent on the repeated frequencies. in Proceedings of the 6th International Congress of Serbian Society of Mechanics. 2017;(S6d).
https://hdl.handle.net/21.15107/rcub_machinery_5987 .

Trišović, Nataša, Li, Wei, Mladenović, Nikola, Jeremić, Olivera, Grozdanović, Ines, Petrović, Ana, "Eigensensitivity andstructural optimization with accent on the repeated frequencies" in Proceedings of the 6th International Congress of Serbian Society of Mechanics, no. S6d (2017),
https://hdl.handle.net/21.15107/rcub_machinery_5987 .

TY  - CONF
AU  - Trišović, Nataša
AU  - Li, Wei
AU  - Sedmak, Aleksandar
AU  - Petrović, Ana
AU  - Mitrović, Radivoje
AU  - Stokić, Zoran
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5985
AB  - The dynamic behavior of a structural system is characterized by its eigendata. The partial
derivatives of eigenvalues and eigenvectors of mechanical system with respect to the design
parameters have attracted extensive attention for the last four decades because of their various
applications, such as optimal dynamic design, machinery failure diagnostic, parameter
identification, model modification and automative control. A more general problem of structural
dynamic analysis has three important aspects. Firstly, the observed physical structure is
represented by initial finite element model. Modeling is based on numerous idealizing
approximations within an exaggerated elaboration of details, which in essence does not
significantly improve the accuracy of output data, especially having available powerful computers
and appropriate software packages. Optimal alternative is to have the possibility of verifying
outputted data that were measured on a prototype or real structure. Secondly, the dynamic
characteristics of construction under reanalysis are analyzed. What is basically observed are
eigenvalues and main forms of oscillations as characteristic variables that can invoke inadequate
actual dynamic behavior. Thirdly, on the basis of the analysis of actual dynamic behavior,
modification steps are proposed after which a modified model is obtained. Having in mind that
mechanical structures are most often very complex, the most convenient modification steps are
not easily obtained. The most straightforward approach for calculating the derivatives is the finite
difference method. There mainly exist three categories in the literature: the modal method, the
direct method and the iterative method. Several methods for the computation of eigenvector
derivatives is analyzed with emphasis on the iterative methods.
C3  - Proceedings of the 6th International Congress of Serbian Society of Mechanics
T1  - Iterative methods for eigensesnitivity analysis-a review
IS  - S6c
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5985
ER  - 

@conference{
author = "Trišović, Nataša and Li, Wei and Sedmak, Aleksandar and Petrović, Ana and Mitrović, Radivoje and Stokić, Zoran",
year = "2017",
abstract = "The dynamic behavior of a structural system is characterized by its eigendata. The partial
derivatives of eigenvalues and eigenvectors of mechanical system with respect to the design
parameters have attracted extensive attention for the last four decades because of their various
applications, such as optimal dynamic design, machinery failure diagnostic, parameter
identification, model modification and automative control. A more general problem of structural
dynamic analysis has three important aspects. Firstly, the observed physical structure is
represented by initial finite element model. Modeling is based on numerous idealizing
approximations within an exaggerated elaboration of details, which in essence does not
significantly improve the accuracy of output data, especially having available powerful computers
and appropriate software packages. Optimal alternative is to have the possibility of verifying
outputted data that were measured on a prototype or real structure. Secondly, the dynamic
characteristics of construction under reanalysis are analyzed. What is basically observed are
eigenvalues and main forms of oscillations as characteristic variables that can invoke inadequate
actual dynamic behavior. Thirdly, on the basis of the analysis of actual dynamic behavior,
modification steps are proposed after which a modified model is obtained. Having in mind that
mechanical structures are most often very complex, the most convenient modification steps are
not easily obtained. The most straightforward approach for calculating the derivatives is the finite
difference method. There mainly exist three categories in the literature: the modal method, the
direct method and the iterative method. Several methods for the computation of eigenvector
derivatives is analyzed with emphasis on the iterative methods.",
journal = "Proceedings of the 6th International Congress of Serbian Society of Mechanics",
title = "Iterative methods for eigensesnitivity analysis-a review",
number = "S6c",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5985"
}

Trišović, N., Li, W., Sedmak, A., Petrović, A., Mitrović, R.,& Stokić, Z.. (2017). Iterative methods for eigensesnitivity analysis-a review. in Proceedings of the 6th International Congress of Serbian Society of Mechanics(S6c).
https://hdl.handle.net/21.15107/rcub_machinery_5985

Trišović N, Li W, Sedmak A, Petrović A, Mitrović R, Stokić Z. Iterative methods for eigensesnitivity analysis-a review. in Proceedings of the 6th International Congress of Serbian Society of Mechanics. 2017;(S6c).
https://hdl.handle.net/21.15107/rcub_machinery_5985 .

Trišović, Nataša, Li, Wei, Sedmak, Aleksandar, Petrović, Ana, Mitrović, Radivoje, Stokić, Zoran, "Iterative methods for eigensesnitivity analysis-a review" in Proceedings of the 6th International Congress of Serbian Society of Mechanics, no. S6c (2017),
https://hdl.handle.net/21.15107/rcub_machinery_5985 .

TY  - CONF
AU  - Petrović, Ana
AU  - Trišović, Nataša
AU  - Maneski, Taško
AU  - Golubović, Zoran
AU  - Milošević-Mitić, Vesna
AU  - Grozdanović, Ines
AU  - Li, Wei
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5996
AB  - Dynamic modification of structures involves the transformation of an existing model in the
new one, which has better behavior and higher accuracy in comparison with the existing. The
main objective of a dynamic modification of the construction is to increase the first natural
frequency, and that the gap between adjacent frequencies is as big as possible. This paper focuses
on the improvement of dynamic characteristics of a tubular collector in one substation. It is
shown how change of boundary conditions and the geometry of the cross section can improve
dynamic characteristics of the structure. In this analysis the finite element method is used for
calculating the natural frequencies, potential and kinetic energy in each node. In the particular
case of a tube collector is confirmed once again, what was well known, that the change in the way
of support (boundary conditions) is the most efficient way of dynamic modification. Additionally
is shown one way to increase the dynamic stiffness while reducing the weight of the whole
structure by choosing the right cross-section.
C3  - Proceedings of the 5th International Congress of Serbian Society of Mechanics
T1  - Structural dynamic modification of a tubular collector
IS  - S3d
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5996
ER  - 

@conference{
author = "Petrović, Ana and Trišović, Nataša and Maneski, Taško and Golubović, Zoran and Milošević-Mitić, Vesna and Grozdanović, Ines and Li, Wei",
year = "2015",
abstract = "Dynamic modification of structures involves the transformation of an existing model in the
new one, which has better behavior and higher accuracy in comparison with the existing. The
main objective of a dynamic modification of the construction is to increase the first natural
frequency, and that the gap between adjacent frequencies is as big as possible. This paper focuses
on the improvement of dynamic characteristics of a tubular collector in one substation. It is
shown how change of boundary conditions and the geometry of the cross section can improve
dynamic characteristics of the structure. In this analysis the finite element method is used for
calculating the natural frequencies, potential and kinetic energy in each node. In the particular
case of a tube collector is confirmed once again, what was well known, that the change in the way
of support (boundary conditions) is the most efficient way of dynamic modification. Additionally
is shown one way to increase the dynamic stiffness while reducing the weight of the whole
structure by choosing the right cross-section.",
journal = "Proceedings of the 5th International Congress of Serbian Society of Mechanics",
title = "Structural dynamic modification of a tubular collector",
number = "S3d",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5996"
}

Petrović, A., Trišović, N., Maneski, T., Golubović, Z., Milošević-Mitić, V., Grozdanović, I.,& Li, W.. (2015). Structural dynamic modification of a tubular collector. in Proceedings of the 5th International Congress of Serbian Society of Mechanics(S3d).
https://hdl.handle.net/21.15107/rcub_machinery_5996

Petrović A, Trišović N, Maneski T, Golubović Z, Milošević-Mitić V, Grozdanović I, Li W. Structural dynamic modification of a tubular collector. in Proceedings of the 5th International Congress of Serbian Society of Mechanics. 2015;(S3d).
https://hdl.handle.net/21.15107/rcub_machinery_5996 .

Petrović, Ana, Trišović, Nataša, Maneski, Taško, Golubović, Zoran, Milošević-Mitić, Vesna, Grozdanović, Ines, Li, Wei, "Structural dynamic modification of a tubular collector" in Proceedings of the 5th International Congress of Serbian Society of Mechanics, no. S3d (2015),
https://hdl.handle.net/21.15107/rcub_machinery_5996 .

TY  - JOUR
AU  - Li, Wei
AU  - Chen, Lincong
AU  - Trišović, Nataša
AU  - Cvetković, Aleksandar
AU  - Zhao, Junfeng
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3932
AB  - In this paper, the first-passage failure of stochastic dynamical systems with fractional derivative and power-form restoring force subjected to Gaussian white-noise excitation is investigated. With application of the stochastic averaging method of quasi-Hamiltonian system, the system energy process will converge wealdy to an Ito differential equation. After that, Backward Kolmogorov (BK) equation associated with conditional reliability function and Generalized Pontryagin (GP) equation associated with statistical moments of first-passage time are constructed and solved. Particularly, the influence on reliability caused by the order of fractional derivative and the power of restoring force are also examined, respectively. Numerical results show that reliability function is decreased with respect to the time. Lower power of restoring force may lead the system to more unstable evolution and lead first passage easy to happen. Besides, more viscous material described by fractional derivative may have higher reliability. Moreover, the analytical results are all in good agreement with Monte-Carlo data.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - International Journal of Non-Linear Mechanics
T1  - First passage of stochastic fractional derivative systems with power-form restoring force
EP  - 88
SP  - 83
VL  - 71
DO  - 10.1016/j.ijnonlinmec.2015.02.002
ER  - 

@article{
author = "Li, Wei and Chen, Lincong and Trišović, Nataša and Cvetković, Aleksandar and Zhao, Junfeng",
year = "2015",
abstract = "In this paper, the first-passage failure of stochastic dynamical systems with fractional derivative and power-form restoring force subjected to Gaussian white-noise excitation is investigated. With application of the stochastic averaging method of quasi-Hamiltonian system, the system energy process will converge wealdy to an Ito differential equation. After that, Backward Kolmogorov (BK) equation associated with conditional reliability function and Generalized Pontryagin (GP) equation associated with statistical moments of first-passage time are constructed and solved. Particularly, the influence on reliability caused by the order of fractional derivative and the power of restoring force are also examined, respectively. Numerical results show that reliability function is decreased with respect to the time. Lower power of restoring force may lead the system to more unstable evolution and lead first passage easy to happen. Besides, more viscous material described by fractional derivative may have higher reliability. Moreover, the analytical results are all in good agreement with Monte-Carlo data.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "International Journal of Non-Linear Mechanics",
title = "First passage of stochastic fractional derivative systems with power-form restoring force",
pages = "88-83",
volume = "71",
doi = "10.1016/j.ijnonlinmec.2015.02.002"
}

Li, W., Chen, L., Trišović, N., Cvetković, A.,& Zhao, J.. (2015). First passage of stochastic fractional derivative systems with power-form restoring force. in International Journal of Non-Linear Mechanics
Pergamon-Elsevier Science Ltd, Oxford., 71, 83-88.
https://doi.org/10.1016/j.ijnonlinmec.2015.02.002

Li W, Chen L, Trišović N, Cvetković A, Zhao J. First passage of stochastic fractional derivative systems with power-form restoring force. in International Journal of Non-Linear Mechanics. 2015;71:83-88.
doi:10.1016/j.ijnonlinmec.2015.02.002 .

Li, Wei, Chen, Lincong, Trišović, Nataša, Cvetković, Aleksandar, Zhao, Junfeng, "First passage of stochastic fractional derivative systems with power-form restoring force" in International Journal of Non-Linear Mechanics, 71 (2015):83-88,
https://doi.org/10.1016/j.ijnonlinmec.2015.02.002 . .

TY  - JOUR
AU  - Li, Wei
AU  - Chen, Lincong
AU  - Trišović, Nataša
AU  - Cvetković, Aleksandar
AU  - Zhao, Junfeng
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2197
AB  - In this paper, the first-passage failure of stochastic dynamical systems with fractional derivative and power-form restoring force subjected to Gaussian white-noise excitation is investigated. With application of the stochastic averaging method of quasi-Hamiltonian system, the system energy process will converge wealdy to an Ito differential equation. After that, Backward Kolmogorov (BK) equation associated with conditional reliability function and Generalized Pontryagin (GP) equation associated with statistical moments of first-passage time are constructed and solved. Particularly, the influence on reliability caused by the order of fractional derivative and the power of restoring force are also examined, respectively. Numerical results show that reliability function is decreased with respect to the time. Lower power of restoring force may lead the system to more unstable evolution and lead first passage easy to happen. Besides, more viscous material described by fractional derivative may have higher reliability. Moreover, the analytical results are all in good agreement with Monte-Carlo data.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - International Journal of Non-Linear Mechanics
T1  - First passage of stochastic fractional derivative systems with power-form restoring force
EP  - 88
SP  - 83
VL  - 71
DO  - 10.1016/j.ijnonlinmec.2015.02.002
ER  - 

@article{
author = "Li, Wei and Chen, Lincong and Trišović, Nataša and Cvetković, Aleksandar and Zhao, Junfeng",
year = "2015",
abstract = "In this paper, the first-passage failure of stochastic dynamical systems with fractional derivative and power-form restoring force subjected to Gaussian white-noise excitation is investigated. With application of the stochastic averaging method of quasi-Hamiltonian system, the system energy process will converge wealdy to an Ito differential equation. After that, Backward Kolmogorov (BK) equation associated with conditional reliability function and Generalized Pontryagin (GP) equation associated with statistical moments of first-passage time are constructed and solved. Particularly, the influence on reliability caused by the order of fractional derivative and the power of restoring force are also examined, respectively. Numerical results show that reliability function is decreased with respect to the time. Lower power of restoring force may lead the system to more unstable evolution and lead first passage easy to happen. Besides, more viscous material described by fractional derivative may have higher reliability. Moreover, the analytical results are all in good agreement with Monte-Carlo data.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "International Journal of Non-Linear Mechanics",
title = "First passage of stochastic fractional derivative systems with power-form restoring force",
pages = "88-83",
volume = "71",
doi = "10.1016/j.ijnonlinmec.2015.02.002"
}

Li, W., Chen, L., Trišović, N., Cvetković, A.,& Zhao, J.. (2015). First passage of stochastic fractional derivative systems with power-form restoring force. in International Journal of Non-Linear Mechanics
Pergamon-Elsevier Science Ltd, Oxford., 71, 83-88.
https://doi.org/10.1016/j.ijnonlinmec.2015.02.002

Li W, Chen L, Trišović N, Cvetković A, Zhao J. First passage of stochastic fractional derivative systems with power-form restoring force. in International Journal of Non-Linear Mechanics. 2015;71:83-88.
doi:10.1016/j.ijnonlinmec.2015.02.002 .

Li, Wei, Chen, Lincong, Trišović, Nataša, Cvetković, Aleksandar, Zhao, Junfeng, "First passage of stochastic fractional derivative systems with power-form restoring force" in International Journal of Non-Linear Mechanics, 71 (2015):83-88,
https://doi.org/10.1016/j.ijnonlinmec.2015.02.002 . .

TY  - CONF
AU  - Li, Wei
AU  - Zhao, Junfeng
AU  - Trišović, Nataša
AU  - Zhang, Y.
PY  - 2014
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1981
AB  - In this paper, the Galerkin method is presented to estimate the approximate stationary and non-stationary responses of nonlinear random dynamical systems with fractional derivative damping. Based on equivalent linearization method, the equation of motion is reverted to a linear equation in terms of envelope and phase process at first. After that, stochastic averaging method is used to get an averaged Ito differential equation with fractional derivative approximated by a periodic function. Finally, the approximate non-stationary probability density function solution of the associated Fokker-Planck equation is obtained by applying the Galerkin method. The application on a Rayleigh oscillator shows that the methods we utilized in this paper are efficient and reliable by comparing the stationary solution between the exact and approximated one.
PB  - American Society of Civil Engineers (ASCE)
C3  - Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of th
T1  - Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping
EP  - 1963
SP  - 1949
DO  - 10.1061/9780784413609.195
ER  - 

@conference{
author = "Li, Wei and Zhao, Junfeng and Trišović, Nataša and Zhang, Y.",
year = "2014",
abstract = "In this paper, the Galerkin method is presented to estimate the approximate stationary and non-stationary responses of nonlinear random dynamical systems with fractional derivative damping. Based on equivalent linearization method, the equation of motion is reverted to a linear equation in terms of envelope and phase process at first. After that, stochastic averaging method is used to get an averaged Ito differential equation with fractional derivative approximated by a periodic function. Finally, the approximate non-stationary probability density function solution of the associated Fokker-Planck equation is obtained by applying the Galerkin method. The application on a Rayleigh oscillator shows that the methods we utilized in this paper are efficient and reliable by comparing the stationary solution between the exact and approximated one.",
publisher = "American Society of Civil Engineers (ASCE)",
journal = "Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of th",
title = "Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping",
pages = "1963-1949",
doi = "10.1061/9780784413609.195"
}

Li, W., Zhao, J., Trišović, N.,& Zhang, Y.. (2014). Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping. in Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of th
American Society of Civil Engineers (ASCE)., 1949-1963.
https://doi.org/10.1061/9780784413609.195

Li W, Zhao J, Trišović N, Zhang Y. Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping. in Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of th. 2014;:1949-1963.
doi:10.1061/9780784413609.195 .

Li, Wei, Zhao, Junfeng, Trišović, Nataša, Zhang, Y., "Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping" in Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of th (2014):1949-1963,
https://doi.org/10.1061/9780784413609.195 . .