含时滞的半主动系统动力学分析

摘要

The approximately analytical solution for a semi-active suspension system under relative control with time-delay is investigated in this paper.At first,the quarter-car model is established and dimensionless analysis is done.Then a system of four nonlinear algebra equations for the approximate solution is obtained by the averaging method,which could be easily treated by numerical methods for algebra equations.At last,the numerical solution of the semi-active relative-control suspension system is also obtained through the simulation in MATLAB software.The comparison of the two methods shows the approximately analytical solution is correct and has satisfactory precision.%对含时滞的半主动相对控制悬架系统进行了近似解析研究.首先建立了半主动相对控制1/4车体模型,进行了无量纲化处理,利用平均法建立了系统的近似解析解应该满足的四元代数方程组,然后利用数值方法进行了求解.随后通过MATLAB仿真得到了含时滞的半主动相对控制悬架系统的数值解,并且和近似解析解进行了比较,发现二者具有较好的符合精度,说明近似解析解的正确性.