Abstract
A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degrees of freedom is investigated with the singularity theory. Transition sets of the system and 40 groups of bifurcation diagrams are obtained. The local bifurcation is found, and shows the overall characteristics of bifurcation. Based on the relationship between parameters and the topological bifurcation solutions, motion characteristics with different parameters are obtained. The results provides a theoretical basis for the optimal control of vehicle suspension system parameters.
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Priyandoko, G., Mailah, M., and Jamaluddin, H. Vehicle active suspension system using skyhook adaptive neuro active force control. Mechanical Systems and Signal Processing 23(3), 855–868 (2009)
Fateh, M. M. and Alavi, S. S. Impedance control of an active suspension system. Mechatronics 19(1), 134–140 (2009)
Litak, G., Borowiec, M., and Friswell, M. I. Chaotic vibration of a quarter-car model excited by the road surface profile. Communications in Nonlinear Science and Numerical Simulation 13(7), 1373–1383 (2008)
Qi, Zhipeng. Structure Theories and Overhaul of Automobile Suspension and Swerve System (in Chinese), Demotic Post Press, Beijing (2000)
Jia, Qifen, Yu, Wen, and Liu, Xijun. Dynamic characteristics of bilinear suspension system of vehicle (in Chinese). Engineering Mechanics 26(2), 319–327 (2004)
Chen, Yushu. Nonlinear Vibration (in Chinese), Higher Education Press, Beijing (2000)
Mitschle, M. Automobile Dynamics (tranl. Sang, Jie, in Chinese), Mechanical Industry Publishing Company, Beijing (1980)
Chen, Yushu and Audrew, Y. T. Leung. Bifurcation and Chaos in Engineering, Springer-Verlag, London (1998)
Chen, Yushu. Bifurcation and Chaos in Nonlinear Vibration (in Chinese), Higher Education Press, Beijing (1993)
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(Contributed by Yu-shu CHEN)
Project supported by the National Natural Science Foundation of China (No. 10632040)
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Zhong, S., Chen, Ys. Bifurcation of piecewise-linear nonlinear vibration system of vehicle suspension. Appl. Math. Mech.-Engl. Ed. 30, 677–684 (2009). https://doi.org/10.1007/s10483-009-0601-z
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DOI: https://doi.org/10.1007/s10483-009-0601-z