Study on the Hamilton Dynamical System of Wheel-and-Rail Dynamical Model of High-Speed Train

2015 ◽  
Vol 713-715 ◽  
pp. 99-102
Author(s):  
Hong Yun Shen ◽  
Jian Hua Du ◽  
Yu Lin Wang

The study on dynamical model of wheel and rail of high-speed train has attracted many researchers nowadays. According to the damping force and the dry friction between wheel and rail, the dynamical model of wheel and rail of high-speed train is constructed and the Hamilton dynamical system of this model is analyzed to discuss its nonlinear dynamical behaviors, which will benefit the practical engineering of high-speed train.

2014 ◽  
Vol 1082 ◽  
pp. 501-504
Author(s):  
Jian Hua Du ◽  
Hong Yun Shen ◽  
Yu Lin Wang

the study on dynamical model of wheel and rail of high-speed train is a focus nowadays. In this paper, the dynamical model of wheel and rail of high-speed train is constructed according to the damping force and the dry friction between wheel and rail. The dynamics of the model was studied and the dynamical system of wheel and rail without collision was analyzed, which povides the theoretical basis for engineering.


2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.


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