温度作用下四边固定矩形薄板解析解的商榷

本文基于薄板的小挠度理论,根据四边简支矩形薄板在横向变温作用下的解析解及四边固定矩形薄板的边界条件,通过应用虚功原理和叠加原理,推导了四边固定矩形薄板在横向变温作用下的挠度方程和内力解析解,从而为以后的工程计算提供理论依据。

Discuss of Analytic Solution about Rectangular Thin Plate with Four Clamped Edges Under Temperature Disparity

Based on the small deflection theory of thin plate,according to the analytical solution and boundary condition of rectangular thin plate with four simply supported edges under temperature variation which is perpendicular to surface,the deflection equation and analytical solution of rectangular thin plate with four clamped edges under tem- perature disparity which is vertical to plate face is deduced through virtual work principle and superposition principle.So a theoretical base is provided for subsequent engineering calculation.