减速带激励下汽车的非线性振动特性分析

摘要

This paper investigated the nonlinear dynamic behavior of seven degree-of-freedom automobile with suspension system of sigmoid magneto-rheological damper stimulated by speed control hump(SCH).Based on the Lagrange equations,the two-order differential equations were developed to describe the motion of automobile,and the fourth-order Runge-Kutta method was used for the numerical simulation.The bifurcation was analyzed by tak-ing the height of SCH as bifurcation parameter,and the movements of the automobile at some values of height were analyzed by using time series,phase portrait,Poincaré map.The height ranges of SCH were obtained when the chaos vibration appeared,and the route to chaos was analyzed.%研究了在减速带激励下具有磁流变阻尼器悬架系统汽车的非线性动力学行为。汽车采用七自由度模型，磁流变阻尼器采用Sigmoid模型。根据第二类Lagrange方程建立了汽车振动微分方程，并采用四阶Runge-Kutta法进行了数值仿真。首先以减速带高度为参数对汽车运动进行分岔分析，然后通过时间历程图、相位图、Poincaré截面分析了汽车在不同减速带高度时所呈现的不同运动形式，得到了系统发生混沌运动时减速带的高度范围，并分析了系统经拟周期运动通向混沌运动的途径。研究结果为汽车平顺性控制和安全性设计提供了理论指导。