弹性力学中混合变量的极值变分原理

Variational Principles of Extreme Value with Mixed Variables in Elasticity

本文建立了弹性力学空间问题混合变量的最小势能原理和最小余能原理,并根据该最小势能原理给出了弯曲薄板混合变量的最小势能原理。应用该势能原理计算了一复杂边界条件矩形板的弯曲。

The minimum potential energy principle and minimum complementary energy principle with mixed variables in three dimensional problems of elasticity are established in this paper, and in terms of the minimum potential energy principle the minimum potential energy principle with mixed variables of bending thin plates is given. A bending of rectangular plate with complicated boundary conditions is calculated by use of the potential energy principle with mixed variables of plates.