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中文摘要：
通过半车模型,数值研究平滑路面上运动车辆车体的前两阶横向振动频率.将车体模型化为两端自由的Euler-Bernoulli梁,半车模型的车轮模型化为两个弹性不等的弹簧.建立半车模型的数学模型描述车体的横向振动.以两端自由的静态梁的模态为试函数和权函数,通过高阶Galerkin截断计算车体横向振动的频率,并研究车辆运行速度、车体刚度、弹簧刚度等参数对车体振动频率的影响.
英文摘要：
The first two natural frequencies of transverse vibration of moving vehicles over a smooth road based on a half-vehicle model are numerically simulated.The car＇s body is modeled as an Euler-Bernoulli beam with free boundary conditions at both ends,and the tires are modeled as two springs with different spring indexes in the half-vehicle model.The governing equation for transverse vibration of the car＇s body is established.The first two natural frequencies are obtained for the beams via the Galerkin method with both the trial and weight functions chosen as eigenfunctions of a stationary beam under the free boundary condition at both sides.The numerical results illustrate the relation of the first two natural frequencies with the changing speed of vehicle, the fiexural stiffness of the car＇s body and the stiffness of the tires.
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