弹性力学中混合变量的能量原理

Energy Principles with Mixed Variables in Elasticity

建立了弹性力学中混合变量的虚功原理和虚余功原理,混合变量的最小势能原理和最小余能原理,混合变量最小势能的广义原理和最小余能的广义原理。同时,应用混合变量的最小势能原理于计算一复杂边界条件矩形板的弯曲。

The principles of virtual work and virtual complementary work with mixed variables, the principles of minimum potential energy and minimum complementary energy with mixed variables, the generalized principles of minimum potential energy and minimum complementary energy with mixed variables are established in this paper. Meanwhile,the bending of a rectangular plate with complicated boundary conditions is calculated by the principle of minimum potential energy with mixed variables.