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CSME 2019/08
Volume 40 No.4
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423-429
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Bifurcation Analysis of a Quarter Car Vehicle System
Lin-Jun Tonga and Wei Zengb
aPingXiang University, PingXiang337055, China.
bXi'an Shiyou University, Xi’an710065, China.
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Abstract:
A systematic analysis of the effects of non-linear, hysteretic, tire damping and stiffness forces, on the nonlinear, dynamic response of a two degrees of freedom, quarter-car suspension system. The dynamics of the system were evaluated through analysis of dynamic trajectories, power spectra, Poincare maps, bifurcation maps and frequency responses, respectively. The quasi-periodic solution for the twisting of the natural frequency was detected, and the coexistence of quasi-periodic and periodic solutions, due to the fold bifurcation, was also observed. Two resonances were found in the frequency response. The first resonance is the main resonance due to the lower natural frequency, and the second resonance is a subharmonic resonance of the higher natural frequency. The tire damping, combined with excitation amplitude and frequency, strongly impacted the dynamic characteristics. The results presented in this study provide a better understanding of the operating conditions under which undesirable dynamic motion takes place in a quarter-car system, and would therefore serve as a useful source of reference for engineers interested in designing and controlling such systems to extend the expected lives of automobiles.
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Keywords: quasi-periodic, nonlinear hysteretic damping, frequency response, bifurcation
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©
2019
CSME , ISSN 0257-9731
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