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首页> 外文期刊>International journal of applied mechanics and engineering >ON THE DYNAMICS OF ELASTIC PLATES RESTING ON VISCOELASTIC FOUNDATIONS AND SUBJECTED TO MOVING LOADS
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ON THE DYNAMICS OF ELASTIC PLATES RESTING ON VISCOELASTIC FOUNDATIONS AND SUBJECTED TO MOVING LOADS

机译：粘弹性基础上弹性板的动力学特性研究

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摘要

The response of an elastic rectangular plate which rests on a visco-elastic foundation and supports a moving continuous load is investigated. The equation of motion is first solved for finite lateral dimensions in both coordinate directions of the rectangular plate. One of the dimensions is allowed to extend to infinity thereby modelling the actual situation of a roadway. The solution is therefore systematically reduced to the one involving a one-dimensional Fourier sine transform. Important features of the response characterization are then surveyed for both constant and harmonic loading conditions. The results show that when damping is ignored, the critical value of the squared eigenfrequency of the harmonic loading is linearly dependent on the elastic foundation modulus.
机译：研究了弹性矩形板的响应，该矩形板位于粘弹性基础上并支撑移动的连续载荷。首先针对矩形板的两个坐标方向上的有限横向尺寸求解运动方程。允许其中一个尺寸扩展到无穷大，从而对道路的实际状况进行建模。因此，该解决方案被系统地简化为涉及一维傅里叶正弦变换的解决方案。然后针对恒定和谐波负载条件调查了响应表征的重要特征。结果表明，当忽略阻尼时，谐波载荷的本征频率平方的临界值与弹性基础模量线性相关。

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