光测弹性理论的变分原理

Variational Principle of Photoelasticity

本文提出了双耦联系统的五个力学基本原理:双耦联系统的零差功原理、势能变分原理、余能变分原理、广义势能变分原理及广义余能变分原理。所谓双耦联系统,是指形状、大小、载荷和边界条件相同且都处于真实状态但材料不同的两变形系统。光测弹性理论中的原型体和模型体就是双耦联系统。

What is called the doubled coupling systems are two deformation ones which have same figures, sizes, loads and boundary conditions and are all the actual states but havn't different materials. This paper presents five basic principles of the mechanics of the double coupling systems: the zero differential work principle, the potential energy ple, the complementary energy variational principle, generalized potential energy variational principle and the generalized complementary energy variational principle of the double coupling systems. The model body and prototype body in photoelasticity are the double coupling systems.