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弹性力学广义变分原理的通式

发表时间:2012-08-15  浏览量:1347  下载量:404
全部作者: 蒋中祥
作者单位: 北京建筑工程学院土木与交通学院
摘 要: 运用“待定系数法”推导了带可选参数的弹性力学三类变量变分原理的泛函通式,已有的各种广义变分原理的泛函都可由此导出。明确指出,该泛函通式作为三类变量变分原理的泛函是有条件的,其可选参数必须满足“等价条件”,并推导了等价条件的完整表达式,从而给出了三类变量变分原理通式的完整的、准确的表述。
关 键 词: 弹性力学;三类变量;广义变分原理;能量泛函
Title: General form of variational principles in elasticity
Author: JIANG Zhongxiang
Organization: School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture
Abstract: Using “method of undetermined coefficients”, the general form of three kinds of variables variational principle’s functional with optional parameters was derived. The existing various variational principles can be derived therefrom. It is clear that the functional’s general form as three kinds of variables variational principle’s functional is conditional, and its optional parameters must satisfy the “equivalent condition”. The full expression of the equivalent conditions, and therefore the general form of three kinds of variables variational principle is given completely and accurately.
Key words: elastic mechanics; three kinds of variables; variational principle; energy functional
发表期数: 2012年8月第15期
引用格式: 蒋中祥. 弹性力学广义变分原理的通式[J]. 中国科技论文在线精品论文,2012,5(15):1476-1482.
 
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