路面不平度影响下的汽车驱动桥动载荷

Moving Force of Rear Axle Under Rough Road

在考虑阻尼和刚度的前提下,建立了路面不平度影响下的汽车驱动桥振动系统模型及微分方程表达式·通过Laplace变换和线性系统理论给出了求系统固有频率的方法并得出了微分方程的解析解·运用微分方程特解与通解内在关系的理论,给出了微分方程的数值解·解析解偏重于控制方面的研究,数值解偏重于对结果的重视,在编程及仿真模拟时采用数值方法求解效果较好,推荐采用Newton Raphson算法·这两种解完善了驱动桥所受动载荷的表达式,为驱动桥的有限元动态分析与设计提供了载荷方面的准备·

With considering elastic and damping modulus of suspendens and wheels, a vehicular model of system′s vibration and a differential equation group of vibration with influence of rough road were built. This differential equation group is a ordinary differential equations and initial conditions can be found or assume. With Laplace change and theory of lineal system, a method of calculable systematical selffrequencies was given, and the analytic result of differential equation was obtained. With the relation between the special solution and common solution of a differential equation,a number result was got. The analytic result lays stress on controlling study and number result lays stress on calculation result. The number result can be used in program and simulink, especially NewtonRaphson method was recommended. These results amend the express styles of rear axle in moving force. A preparedness for finite element in design and simulation was done.