中文摘要：

研究两端铰支边界条件下Timoshenko模型轴向运动梁的横向振动问题，分别利用复模态分析方法和Galerkin方法求解系统的固有频率；讨论轴向运动梁前两阶固有频率随轴向运动速度的变化情况；最后给出数值算例，分析复模态分析方法、二阶Galerkin截断和四阶Galerkin截断方法对固有频率结果精确度的影响。

英文摘要：

The complex mode method and Galerkin truncation method are used respectively in the calculation of natural frequencies of a simply supported Timoshenko beam under axially moving conditions. The first two natural frequencies of the beam are studied for different axially moving speed. The numerical results obtained respectively by the complex mode method and the Galerkin method via the second order truncation and the forth order tnmcation, are compared and discussed.