弹性地基上四边自由矩形厚板非线性大挠度弯曲

Nonlinear Bending of a Rectangular Thick Plate with Four Free Edges on An Elastic Foundation

基于Ｒｅｉｓｓｎｅｒ－Ｍｉｎｄｌｉｎ一阶剪切变形板理论，采用摄动—Ｇａｌｅｒｋｉｎ混合法，给出双参数弹性地基上四边自由矩形中厚板在对称分布局部荷载作用下的大挠度弯曲渐近解，满足全部自由边界条件和控制方程。

Based on the Reissner Mindlin plate theory considering the first order shear deformation effect and including the plate foundation interaction, a nonlinear bending response of a rectangular thick plate with four free edges subjected to transverse partially distributed loads and resting on a two parameter elastic foundation has been studied by a mixed Galerkin perturbation method. The solutions satisfy all bounday conditions and governing equations. The influence played by the foundation stiffness is also discussed.