含时滞的单自由度半主动悬架系统的动力学分析

摘要

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.%对含时滞的单自由度半主动开关控制悬架系统进行了研究.首先对系统进行无量纲化处理,然后利用平均法求出了系统方程的一次近似解析解.通过解析解与数值解得到的幅频曲线进行比较,验证了所提出方法和结果的正确性.最后对系统的稳定性做了分析,得到了导致系统产生不稳定运动的条件和临界时滞,发现系统的稳定性随着时滞会发生周期性变化.