粘弹性文克尔地基矩形板的稳态动力响应分析

Dynamic response of rectangular plate lying on viscous Winkler foundation to moving harmonic load

本文研究了粘弹性地基上矩形板在受到运动常值荷载和运动谐和荷载作用下的动态响应问题,得到了薄板的动力响应的解析表达式,计算和分析了板的固有频率和临界速度。通过算例深入分析了荷载运动速度和频率及地基参数等对板的动态挠度影响的规律。结果表明,荷载运动速度、频率和地基刚度对板挠度的影响较大。

Dynamic response of rectangular plates on viscous Winkler foundation subject to constant amplitude or harmonic moving loads was investigated and the analytical solution was obtained. The solution is used to solve the problem of dynamic response of airport and pavement. The numerical results are in good agreement with field measurements. Natural frequency and cirtical moving velocity of the plate are calculated. The analysis of an example shows that the velocity and frequency of the moving load and the stiffness of foundation may significantly affect the dynamic response of the plates.