运动车辆梁模型的横向振动频率及模态

NATURAL FREQUENCIES AND MODEL FUNCTION OF TRANSVERSE VIBRATION OF BEAM MODAL FOR MOVING VEHICLES

将运动车辆的车身模型化为Euler-Bernoulli梁,车轮模型化为梁两端边界处的弹性不等的弹簧,形成半车模型.通过复模态分析法研究平滑路面上移动车体的横向振动特性,给出车体横向振动的频率方程以及模态的表达式,通过数值方法求解系统固有频率以及模态函数.并通过数值算例研究车辆运行速度、车体刚度、轮胎弹性系数对车体横向振动的前两阶固有频率以及相应模态的影响.

The car＇s body was modeled by the Euler-Bernoulli beam model,and the car＇s tires were modeled by the two springs with different spring index at both ends for the half-vehicle modal.The first two natural frequencies and model function of transverse vibration of moving vehicles over a smooth road were numerically solved.The transcendental equation and the eigenfunction were established by boundary condition based on the complex model function.The first two natural frequencies and the corresponding model function were obtained numerically,and the contributions of the speed of vehicle,the flexural stiffness of the car＇s body and the stiffness of the tires were discussed via numerical examples.