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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 104
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE Edited by: J. Pombo
Paper 20
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.
Summary
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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