Chaotic vibration and control in nonlinear half-vehicle suspension under consecutive humps excitation

Complicated dynamic behavior of nonlinear Four degree-of-freedom (DOF) semi-vehicle model will happen under pavement roughness incentive. In this paper, the consecutive speed control humps (SCHs) dynamic excitation function is presented. And the model can be analyzed by velocity bifurcation diagram, Poincaré map, phase diagram and power spectrum. The range of velocity is obtained under chaos vibration by researching vibration characteristic of the system. Numerical results indicate that the chaotic vibration response may be appear by the consecutive SCHs. Meanwhile, paper proposes direct variable feedback control method, and analyze the control effect of different the feedback gain and the delay feedback control. The results will help for dynamic characteristic analysis of vehicles and the design of the continuous speed bumps.