应用大挠度薄板功的互等定理求解三边简支一边固定矩形板的挠曲方程

The application of reciprocal theorem with large deflections in the calculation of a rectangular plate with three edges simpy supported and the other fixed

付宝连建立了直角坐标系,建立了有限变形非线性弹性力学的功的互等定理并给出了大挠度弯曲薄板的功的互等定理.应用大挠度弯曲薄板的第二类功的互等定理,求解了在均布载荷作用下三边简支一边固定大挠度弯曲矩形板的挠曲面方程,计算结果表明,该法简单有效.

Reciprocal theorem for non - linear elasticity with finite displacements in rectargular cartesian coordinates is established and reciprocal theorems for bending of thin plates with large deflections are given by Fubaolian. The solutions of thin bending rectangular plate with three edges simply supported and the other fixed, large deflection under uniform pressure is obtained by the Reciprocal Theorem Method in this paper. From the results it can be found that the method is valid.