混合变量的余能原理及其应用

Principles of complementary energy with mixed variables and an application

应用功的互等定理,建立了小变形线弹性混合变量的第一余能(最小余能)原理和第二余能原理。以该原理为基础,给出了弯曲矩形板混合变量相关的两个余能原理。并且,应用第二余能原理计算了一复杂边界条件下矩形板的弯曲。

First and second principle of complementary energy with mixed variables of linear elasticity of small displacement theory are established by the use of the reciprocal theorem. On the basis of the two principles, two principles of complementary energy related to bending of rectangular plates are given. And the second principle is applied to calculation of bending of a rectangular plate with complicated boundary conditions.