Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading

被引：28

作者：

Li, Rui ^{[1
]}

Tian, Bin ^{[2
]}

Zhong, Yang ^{[3
]}

机构：

[1] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[2] China Rd & Bridge Corp, Dept Sci & Technol, Beijing 100011, Peoples R China

[3] Dalian Univ Technol, Fac Infrastruct Engn, Dalian 116024, Peoples R China

来源：

MECCANICA | 2013年 / 48卷 / 10期

基金：

中国博士后科学基金;

关键词：

Orthotropic thin plate; Elastic foundation; Analytical solution; Double finite integral transform; DISCRETE SINGULAR CONVOLUTION; INTEGRAL-EQUATION METHOD; ELASTIC-FOUNDATION; INTERNAL SUPPORTS; DYNAMIC-ANALYSIS; BOUNDARY; VIBRATION; TRANSFORM;

D O I：

10.1007/s11012-013-9764-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents the analytical solutions for the bending of orthotropic rectangular thin plates by the double finite integral transform, which, as an effective tool in solving plate problems, should have received attention. As a representative and difficult problem in the theory of plates, free plates' bending is successfully solved to demonstrate the accuracy of the method by comparing the present analytical solutions with those from the literature as well as those by the finite element method. With the proper integral transform kernels, the proposed solution procedure is applicable to the bending of orthotropic rectangular plates with all combinations of simply supported, clamped and free boundary conditions, which serves as an elegant approach to analytical solutions of plate bending problems.

引用

页码：2497 / 2510

页数：14

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