DSC ANALYSIS FOR BUCKLING AND VIBRATION OF RECTANGULAR PLATES WITH ELASTICALLY RESTRAINED EDGES AND LINEARLY VARYING IN-PLANE LOADING

被引：33

作者：

Lai, S. K. ^{[1
]}

Xiang, Y. ^{[1
]}

机构：

[1] Univ Western Sydney, Sch Engn, Penrith, NSW 1797, Australia

来源：

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS | 2009年 / 9卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

DSC method; elastic rotational restraint; buckling; vibration; thin plate; DISCRETE SINGULAR CONVOLUTION; SIMPLY SUPPORTED EDGES; DIFFERENTIAL QUADRATURE ANALYSIS; FOKKER-PLANCK EQUATION; INTERNAL SUPPORTS; RITZ METHOD; TRANSVERSE VIBRATIONS; NATURAL FREQUENCIES; BOUNDARY-CONDITIONS; CYLINDRICAL-SHELLS;

D O I：

10.1142/S0219455409003119

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This paper presents the discrete singular convolution (DSC) method for solving buckling and vibration problems of rectangular plates with all edges transversely supported and restrained by uniform elastic rotational springs. The opposite plate edges are subjected to a linearly varying uni-axial in-plane loading. The rationale for using DSC method stems from its numerical stability and flexible implementation for structural analysis. To verify the present approach, convergence and comparison studies for rectangular plates with different combinations of elastically restrained and classical edges are carried out. Accurate buckling and vibration solutions of plates having two opposite edges elastically restrained and the other two sides clamped, or all edges elastically restrained are presented.

引用

页码：511 / 531

页数：21

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