支承于连续多层弹性阻尼系统上的Timoshenko梁的振动方程

Vibrating Equation of Timoshenko's Beam Supported by Continuous Multilayer Elastic--Damping System--Considering the Effects of An Axial Force

本文导出了支承于连续多层弹性阻尼系统上的Timoshenko梁的振动方程,并考虑了轴向力的作用。指出一般情况下的Timoshenko梁的振动方程是该方程的特例。应用导出的方程,求解了铁路钢轨的稳态振动问题,相应地也给出了轨枕和道床的振动方程及其振动特性。计算结果指出,钢轨的横向剪切变形及其承受的轴向力对钢轨的振动水平、轮轨间的动作用力均有影响,特别是在高频域,有着不可忽略的影响。

The vibratory equation of Timoshenko's beam supported by continuous multilayer elastic-damping system is presented. The beam is subjected to an axial force. In general, the other vibratory equations of Timoshenko's beam are special example of this equation. The steady-state vibrations of rail by making use of this equation are solved. The vibratory equation and vibratory characteristics of tie and ballast are given. The results indicate that the effects of transverse shear deformation and axial force on vibratory level of rail and on dynamic contact force between rail and wheel can not be neg- lected, especially in high frequency range.