弹性力学的广义变分原理(二)

基于新的势能和余能密度表示式的基础上,利用变分问题描述了弹性力学问题的各类广义分原理是各种变分约束条件、一般约束条件和变分条件3者之间的匹配问题。并利用拉氏乘手法建立了各类新型的变分原理。这些变分原理开拓了求解工程结构问题的新途径,是建立新的离散方法的理论基础。

Generalized Variational Principles of Elasticity

In Part One the variational problem is used to describe the generalized variational principles of elasticity. A match problem between the varational constraint conditions, the general constraint conditions and the variational conditions is discussed based on the potential energy density and the complementary energy density.New generalized variational principles are established with lagrange multiplier method based on new potential and complentary energy density. The variational principles opened up a new way for solving the structure engineering problem and set the foundation for establishing the new discretization method