弹性半空间地基上四边自由中厚矩形板的动力响应

Dynamic response of initially stressed moderately thick rectangular plates on elastic half-space foundations

基于Reissner-Mindlin一阶剪切变形板理论,研究矩形板在动荷载和预加面内机械荷载及温度场作用下的动力特性。把地基看作三维弹性半空间体,考虑地基变形衰减,用一组数学上完备的二元多项式作为位形函数,采用bp-2 Rayleigh-Rizt法求得四边自由中厚矩形板的动力响应,并讨论了初应力对板的动挠度和动弯矩的影响。

Based on Reissner-Mindlin first order shear deformation plate theory, dynamic response of an initially saessed, moderately thick rectangular plate with four free edges on elastic half-space foundation is presented. Initial stresses are induced by in-plane mechanical loads or temperature changes. The foundation is regarded as a three dimensional elastic half-space entity while its weakening deformation is considered. A set of pb-2 eigenfunctions, which effectively satisfies the free edge condition, is adopted and Rayleigh-Ritz method is employed to determine the deflections and bending moments of lhe plate. The effects played by initial membrane stress as well as thermal stress are studied.