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定常温度场热弹性问题的广义变分原理
Generalized Variational Principles of Thermo-Elasticity Problems for Stationary Temperature Field
【摘要】 在新型热弹性势能与余能数学形式的基础上,利用拉氏乘子法建立了两种三类独立变量函数的广义变分原理,以及一系列新型二类变量的广义变分原理。这些原理为解决定常温度场中的结构工程问题提供了多种类型的原理,是用近似方法与数值方法解决热弹性问题的理论基础。
【Abstract】 Based on new forms of the potential and complementary energy densities for thermo- elasticitty, the generalized variational principles belonging to three independent argument functions and a new series of two independent argument functions are established with the Lagrange multiplier method. These principles lay the foundation theoretically for the solving of structure engineering problems for stationary temperature field by the approximate numerical methods.
【关键词】 定常温度场;
广义变分原理;
拉氏乘子;
【Key words】 stationary temperature field; generalized variational principle; Lagrange multiplier;
【Key words】 stationary temperature field; generalized variational principle; Lagrange multiplier;
- 【文献出处】 北京工业大学学报 ,Journal of Beijing Polytechnic University , 编辑部邮箱 ,1991年02期
- 【被引频次】1
- 【下载频次】65