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.
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