Stability Analysis of Multi-dimensional Coupled Shimmy System Based on Center Manifold Theory

doi:10.3901/JME.2023.04.155

Abstract

Abstract: Since the tire lateral force is sensitive to the change of the vertical load, the influence of the motion of the sprung mass on vehicle shimmy cannot be ignored. Therefore, based on the analysis of dynamic coupling mechanism of the vertical and lateral motion of the vehicle, a dynamic model of vehicle shimmy system with independent suspension considering multi-dimensional coupling is established. According to the Jacobian matrix of the system differential equations, the eigenvalues of the shimmy system with the change of the vehicle speed are investigated. Then, the two-dimensional center manifold of the shimmy system is obtained on basis of the center manifold theory. Moreover, the stability of the limit cycle of the system is discussed by calculating the stability parameters of the central manifold. Finally, numerical examples are used to verify the results of stability analysis, and the influence of the system parameters on the shimmy amplitude is investigated. The results show that the lightweight of the vehicle and the reduction of the distance from the mass center of the sprung mass to its roll axis are beneficial to attenuate vehicle shimmy, thus improving the stability and safety of the vehicle.

Key words: vehicle shimmy, dynamic coupling, independent suspension, center manifold, stability

CLC Number:

O323
U461

WEI Heng, LU Jianwei, YE Shengyong, SHI Lei. Stability Analysis of Multi-dimensional Coupled Shimmy System Based on Center Manifold Theory[J]. Journal of Mechanical Engineering, 2023, 59(4): 155-162.

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