点支撑预应力中厚矩形板的弯曲

基于Reissner-Mindlin一阶剪切变形板理论，讨论在预加面内机械荷载或温度场作用下，点支撑中厚矩形板的弯曲问题。温度场假定沿板表面为均布，沿板厚方向为线性分布的。利用考虑剪切变形影响的Timoshenko梁函数，采用Rayleigh-Ritz法给出不同边界条件下点支撑中厚板在横向荷载作用下的挠度和弯矩分布。结果表明，均匀温度场与预加面内压力将使板的挠度和弯矩增加。支撑点位置的变化、边界约束条件和横向剪切变形效应都对板的内力大小和分布有显著影响。

Bending of Initially Stressed Moderately Thick Rectangular Plates with Point Supports

Based on Reissner Mindlin first order shear deformation plate theory, the bending analysis for an initially stressed, moderately thick rectangular plate with point supports was presented. The initial stresses are induced by in-plane mechanical loads or temperature field, which is assumed to be a uniform distribution over the plate surface and a linear through-the-thickness temperature gradient. A set of Timo-shenko beam eigenfunctions, which satisfies different kinds of geometric boundary conditions, was adopted and Rayleigh-Ritz method was employed to determine the deflection and bending moment of the plate. The numerical results are given in tabular and graphical forms, showing the effects of locations of points, boundary conditions and transverse shear deformation on the bending behavior of the plate. The results reveal that a uniform temperature field and initial compressive edge loads increase both deflection and bending moments in the plate.