车辆多体系统振动方程建立探讨

Establishing vibration equations of a vehicle multi-body system with a new method

针对应用哈密尔顿原理建立车辆多体系统振动方程时需借助手工推导的现状,对"对号入座"法则进行改进,使之与有限元分析中计算机编码法相一致,以快速应用计算机自动组建系统振动方程;在建立全车-轨道垂向振动模型基础上,导出该振动系统方程,并应用MATLAB编制计算程序;通过对焊接凹接头不平顺激励下车辆-轨道垂向振动特性分析说明该方法的正确性。

Using Hamilton theory to establish vibration equations of a vehicle multi-body system needs complex manual deduction. So, the principle of 'set in the right position' was improved to accord with the coding rules in the finite element method to establish the vibration equations of the system automatically and equickly with a computer. Based on building a vertical vibration model of a vehicle-track system, the vibration equations of this system was established with the above method, and a corresponding calculation program was compiled with MATLAB. Finally, the validity of this method was proved with a vertical vibration characteristic analysis of a vehicle-track system under the irregularities excitation of welded concave joints.