Benchmark bending solutions of rectangular thin plates point-supported at two adjacent corners

被引：14
|
作者：
Li, Rui [1 ,2 ]
Wang, Bo [1 ]
Li, Gang [1 ]
机构：
[1] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
[2] Huazhong Univ Sci & Technol, State Key Lab Digital Mfg Equipment & Technol, Wuhan 430074, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 40卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Benchmark solution; Rectangular thin plate; Point support; Symplectic superposition method; DIFFERENTIAL QUADRATURE; ELASTIC FOUNDATIONS; BEAM FUNCTIONS; VIBRATIONS;
D O I：
10.1016/j.aml.2014.09.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The novel symplectic superposition method is used in this work to yield the analytical benchmark bending solutions of rectangular thin plates point-supported at two adjacent corners. The solution procedure is rational and rigorous without any prior assumption of the solutions, thus it paves the way to accurate description of bending of point-supported plates. Numerical results are presented to show the validity of the method by comparison with those by the well-established finite element method (FEM). The present solutions are expected to serve for validation of various approximate/numerical methods. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：53 / 58
页数：6
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