A Lagrangian for von Karman equations of large deflection problem of thin circular plate

被引：18
作者：
He, JH
机构：
[1] Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 143卷 / 2-3期
关键词：
von Karman equations; plate; variational principle; semi-inverse method; Ritz method;
D O I：
10.1016/S0096-3003(02)00383-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an approximate analytical solution of the problem. First order approximate solution is obtained, which is similar to those in open literature. By Mathematica a more accurate solution can be deduced. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：543 / 549
页数：7
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