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PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
Edited by: J. Pombo
Study on Bogie Lateral Stability with One Simple Type of Non-Smooth Element
H. Dong, J. Zeng, B. Zhang and W. Yong
State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, China
H. Dong, J. Zeng, B. Zhang, W. Yong, "Study on Bogie Lateral Stability with One Simple Type of Non-Smooth Element", in J. Pombo, (Editor), "Proceedings of the Second International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 20, 2014. doi:10.4203/ccp.104.20
Keywords: bogie, nonlinear dynamic, Hopf bifurcation, limit cycle, non-smooth, piecewise linear.
Vehicle stability refers to linear ordinary differential equation theorem and nonlinear bifurcation theorem. This paper studies bogie stability with one kind of non-smooth element, that is piecewise linear suspension. The first part compares the linear critical speed and limit cycles between guide box positioning bogie and rotating arm positioning bogie. Besides, the lateral acceleration of the two bogies is analyzed with using "TSI L 84-2008". The second part compares the bifurcation results of CRH3 bogies respectively with piecewise linear yaw damper and fitting smooth yaw damper. The results show the linear critical speed of guide box positioning bogie is much lower than that of rotating arm positioning bogie. But their nonlinear critical speed is nearly the same. It means different limit cycle is caused by different nonlinear vector fields. And the name "supercritical" bifurcation happed in local non-smooth system near the equilibrium position is imprecise such as CRH3 because the first bifurcation exists a "vertical jump" phenomenon. But in larger interval, it behaves like supercritical bifurcation as continuous system behaves.
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