Dynamic analysis of a SDOF semi-active suspension system with time-delay

A single degree-of-freedom(SDOF) semi-active on-off control suspension system with time-delay was studied here.After its dimensionless form was deduced,the first-order approximately analytical solution was obtained with the averaging method.The comparison of the amplitude-frequency curves obtained with the analytical solution and the numerical one showed the correctness of the proposed method.At last,the system stability was analyzed,and the instability condition and the critical time-delay were gained.The periodical change of the system stability with time-delay was also illustrated.