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粘弹性文克尔地基矩形板的稳态动力响应分析
引用本文:颜可珍,夏唐代. 粘弹性文克尔地基矩形板的稳态动力响应分析[J]. 水利学报, 2005, 36(9): 1077-1082
作者姓名:颜可珍  夏唐代
作者单位:湖南大学,土木工程学院,湖南,长沙,410082;浙江大学,建筑工程学院,浙江,杭州,310027
摘    要: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。

关 键 词:运动荷载  矩形板  谐和荷载  文克尔地基
文章编号:0559-9350(2005)09-1077-06
收稿时间:2004-09-28
修稿时间:2004-09-28

Dynamic response of rectangular plate lying on viscous Winkler foundation to moving harmonic load
YAN Ke-zhen,XIA Tang-dai. Dynamic response of rectangular plate lying on viscous Winkler foundation to moving harmonic load[J]. Journal of Hydraulic Engineering, 2005, 36(9): 1077-1082
Authors:YAN Ke-zhen  XIA Tang-dai
Affiliation:1. Hunan University, Changsha 410082, China; 2. Zhejiang University, Hangzhou 310027, China
Abstract: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.
Keywords:moving load    rectangular plate    harmonic load    dynamic response    Winkler foundation
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