Research on Stability and Bifurcation of Nonlinear Stochastic Dynamic Model of Wheelset

被引：1
|
作者：
Wang P. [1 ,2 ]
Yang S. [1 ,2 ]
Liu Y. [1 ,3 ]
Liu P. [1 ]
Zhao Y. [1 ,2 ]
Zhang X. [1 ,2 ]
机构：
[1] State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang
[2] School of Traffic and Transportation, Shijiazhuang Tiedao University, Shijiazhuang
[3] School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2023年 / 59卷 / 10期
关键词：
hunting stability; singular boundary; stochastic average method; stochastic bifurcation; stochastic system;
D O I：
10.3901/JME.2023.10.210
中图分类号：
学科分类号：
摘要：
Aiming at the stochastic dynamics of the wheelset system, considering the influence of the stochastic factors of the equivalent conicity and suspension stiffness, a wheelset model of nonlinear wheel-rail contact relationship with gyroscopic effect is established to investigate the stochastic stability and stochastic Hopf bifurcation of the wheelset system. The stochastic average method transforms the wheelset system into a one-dimensional diffusion process. By judging the behavior of the singular boundary, the stochastic instability conditions and critical speed of the wheelset system are obtained. The stationary probability density function and the joint probability density function are derived theoretically. The topological structure evolution of the probability density function is analyzed, and the type of stochastic Hopf bifurcation of the wheelset system is determined. The influence of stochastic factors on the critical speed of instability and the Hopf bifurcation region is explored. The simulation results verify the correctness of the theoretical analysis. The results reveal that the stochastic stability of the wheelset system is determined by the boundary behavior of the diffusion process, and the left boundary eigenvalue cL = 1 is the critical state of stochastic instability. After considering the stochastic factors, the steady-state probability density function of the wheelset system has two qualitative changes with the increase of the bifurcation parameters, which correspond to the stochastic D bifurcation and stochastic P bifurcation of the wheelset system respectively, and the critical speeds of the two stochastic bifurcations decrease with the increase of the random parameter intensity. © 2023 Editorial Office of Chinese Journal of Mechanical Engineering. All rights reserved.
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页码：210 / 225
页数：15
相关论文
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