Buckling of shear deformable thin-walled members-I. Variational principle and analytical solutions

被引：19

作者：

Wu, Liping ^{[1
]}

Mohareb, Magdi ^{[1
]}

机构：

[1] Univ Ottawa, Dept Civil Engn, Ottawa, ON K1N 6N5, Canada

来源：

THIN-WALLED STRUCTURES | 2011年 / 49卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Thin-walled members; Non-orthogonal coordinates; Shear deformation effect; Lateral-torsional buckling; Eccentric supports; Closed form solutions; PREBUCKLING DEFLECTIONS; BEAMS; ELEMENT;

D O I：

10.1016/j.tws.2010.09.025

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A variational formulation for the buckling analysis of thin-walled members is developed based on the principle of stationary potential energy. The formulation is based on non-orthogonal coordinates and captures shear deformation effects due to bending and warping. It is applicable to members of doubly symmetric cross-sections subject to general axial and transverse forces and naturally incorporates the effect of load position relative to the shear centre. Applying the conditions of neutral stability to the variational expression, the governing differential equations of neutral stability and associated boundary conditions are formulated. The resulting field equations are exactly solved for benchmark cases involving column flexural buckling, column torsional buckling, and lateral-torsional buckling for beams, and the results are compared to closed form solutions based on classical and other modern theories. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：197 / 207

页数：11

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