Stability analysis of semi-active inerter-spring-damper suspensions based on time-delay

To analyze the variation rule of the critical instability time-delay of the semi-active ISD suspension, a general solution was proposed and applied into two three-element-structure ISD suspensions. The dynamical response and the performance of the semi-active ISD suspension in various time-delays indicated that different structures had different suspension performance. The time-delay deteriorated the performance of all of the suspensions which were analyzed. The stability of the semi-active ISD suspension would seriously weaken with the critical time-delay. This paper provided a general solution for parameters selection in semi-active ISD suspension design to avoid the negative effect of the time-delay.