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弹性力学广义变分原理的通式和拉氏乘子法

发表时间:2011-08-15  浏览量:1713  下载量:559
全部作者: 蒋中祥
作者单位: 北京建筑工程学院土木与交通工程学院
摘 要: 利用拉氏乘子法推导弹性力学广义变分原理的一般形式,验证广义变分厚理在一定条件下,确实是三类变量广义变分原理的泛函。结果表明:拉氏乘子法的运用显示了此法的灵活性,但这种接氏乘子法的局限或许也使结果具有不确定性。
关 键 词: 弹性力学;三类变量;变分原理通式;拉氏乘子法
Title: General form of variational principles in elasticity & Lagrange multiplier procedure
Author: JIANG Zhongxiang
Organization: School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture
Abstract: This paper deduces the general form of the variational principle in elasticity by Lagrange multiplier procedure. It is approved that the formula (2) is the variational principle�s functional with the three kinds of variables under certain conditions. But it seems that the universality of formula (2) can�t be approved by Lagrange multiplier procedure. It is a difficulty for Lagrange multiplier procedure.
Key words: elasticity; three kinds of variables; general form of variational principle; Lagrange multiplier procedure
发表期数: 2011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和拉氏乘子法[J]. 中国科技论文在线精品论文,2011,4(15):1390-1397.
 
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