Nonlinear dynamic analysis of the whole vehicle on bumpy road

Abstract

Through the research into the characteristics of 7-DoF high dimensional nonlinear dynamics of a vehicle on bumpy road, the periodic movement and chaotic behavior of the vehicle were found. The methods of nonlinear frequency response analysis, global bifurcation, frequency chart and Poincaré maps were used simultaneously to derive strange super chaotic attractor. According to Lyapunov exponents calculated by Gram-Schmidt method, the unstable region was compartmentalized and the super chaotic characteristic of the nonlinear system was verified. Numerical results by 4-order Runge-Kutta method presented the multiform dynamic behavior of the system.

Keywords

vehicle nonlinear dynamics / chaotic movement / global bifurcation / Lyapunov exponent / nonlinear frequency response analysis

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