弹性半空间地基上预应力中厚矩形板的弯曲

基于Reissner-Mindlin一阶剪切变形理论,讨论在预加面内机械荷载或预加温度场作用下,弹性半空间地基上四边自由中厚矩形板的弯曲问题。把地基看作三维弹性半空间体,考虑地基变形的衰减。用一组数学上完备的二元多项式作为位形函数,采用pb-2 Rayleigh-Ritz法求得四边自由中厚矩形板的挠度和弯矩,并讨论了初应力对板的挠度和弯矩的影响。

Bending of Middle-Thickness Initially Stressed Rectangular Plate on Elastic Half-space Foundation

Based on Reissner-Mindlin first order shear deformation plate theory,the bending for an initially stressed,middle-thickness rectangular plate with four free edges on elastic half-space foundation is investigated,where the initial stresses are induced by in-plane mechanical loads or temperature variation,and the foundation is regarded as a three dimensional elastic half-space with weakening deformation.A set of pb-2 eigenfunctions,for free edge is adopted and Rayleigh-Ritz method is employed to determine the deflections and bending moments of the plate.The effects from initial membrane stress and thermal stress are discussed.