Safety and complexity study on vehicle suspension system with hysteretic nonlinearity characteristic under quasi-period multi-frequency excitation

Safety analysis and the forced vibration characteristic investigation of a single DOF vehicle suspension system with hysteretic nonlinearity characteristic under road quasi-period multi-frequency excitation is carried out in this paper. Probability of system occurred chaos and disturb state character of closed-trajectories near center is studied though the Melnikov' function and KAM theory. The complexity characteristic of this system under forced vibration is clarified accordingly.