基于传递矩阵法的轮对固有频率计算方法

应用传递矩阵法分析机车车辆轮对的固有频率,根据轮对的结构特点,将车轮和轴箱简化为集中质量和转动惯量,车轴简化为包含集中质量和转动惯量的变截面Timoshenko梁,建立轮对振动的传递矩阵,用Newton-Raphson方法求解频率方程,得到轮对的固有频率值。在轮对设计阶段,对其自振频率进行计算,分析其对轮对本身应力状态、机车车辆系统和轨道系统振动动态特性的影响。该方法与有限元方法计算的轮对固有频率的相对误差小于10%,具有较高的计算精度,满足工程设计的需要。

Calculation method of wheelset natural frequency based on transfer matrixes

Vehicle wheelset natural frequency was analyzed by transfer matrixes,according to the characteristic of wheelset structure,vehicle wheel and axle-box were simplified to collective quality and inertia moment,and wheelset axle was simplified to non-uniform Temoshenko beam including collective quality and inertia moment,then wheelset vibration transfer matrix was set up,wheelset natural frequency was calculated by solving wheelset frequency equation using Newton-Raphson method.In wheelset design stage,its effects on wheelset stress condition and the vibration perporties of vehicle system and track system were analyzed.In comparison with FEM,the relative error of wheelset natural frequency is less than 10%,the calculation method can satisfy the need of project design.1 tab,4 figs,10 refs.