光测弹性理论中的耦联变分原理和广义耦联变分原理
Coupled Variational Principles and Generalized Coupled Variational Principles in Photoelasticity
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摘要: 在本文中,应用拉格朗日乘子法和高阶拉格朗日乘子法[1],我们系统地导出了光测弹性理论中的耦联势能原理,耦联余能原理和具有二类和三类变量的广义耦联势能原理和广义相联余能原理。Abstract: In this paper, by applying Lagrange, multiplier method and high order Lagrange multiplier method[1], we systematically derive coupled potential energy principle coupled complementary energy principle,and generalized coupled potential energy principles and generalized coupled complementary energy principles with two and three kinds of variables in photo elasticity.
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[1] 钱伟长,《广义变分原理》,知识出版社,上海(1985), [2] 付宝连,光测弹性理论中耦联系统的变分原理,应用数学和力学,15(1)(1994),37-48
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