温度荷载下薄板的弹性理论分析

The Elasticity Theory Analysis of Thin Plate which Suffered with Temperature Loads

把三边简支一边固支矩形薄板受沿厚度方向均匀变化的温差荷载作用的问题视为一边作用等效温差力矩的四边简支板与在温差荷载作用下的四边简支板的叠加。根据固定边界的位移协调条件导出温差荷载引起的板内力的表达式和挠度方程。

The rectangular thin plate with three simply supported edges and one clamped under temperature loads linear distributed along the thickness side was analyzed. The problem can be equal to the superposition of four simply supported edges with temperature loads and four simply supported edges with equivalent bending moment. Based on the displacement conforming condition, the roof-plate＇s intemal force expression and deflection equation was systematically derived.