SPATIAL STABILITY AND FREE-VIBRATION OF SHEAR FLEXIBLE THIN-WALLED ELASTIC BEAMS .1. ANALYTICAL APPROACH

被引：32

作者：

KIM, MY ^{[1
]}

CHANG, SP ^{[1
]}

KIM, SB ^{[1
]}

机构：

[1] SEOUL NATL UNIV, DEPT CIVIL ENGN, GWANAK GU, SEOUL 151742, SOUTH KOREA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1994年 / 37卷 / 23期

关键词：

D O I：

10.1002/nme.1620372310

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An improved formulation for spatial stability and free vibration analysis of thin-walled elastic beams is presented by applying Hellinger-Reissner principle and introducing Vlasov's assumption. It includes shear deformation effects due to flexural shear and restrained warping stress, rotary inertia effects and bending-torsional coupling effects due to unsymmetric cross sections. Closed-form solutions for determining flexural-torsional buckling loads and natural frequencies of unsymmetric simply supported beam-columns subjected to eccentric axial force are newly derived and also, the tangent stiffness matrix and stability functions for symmetric thin-walled beam elements subjected to axial force are presented. In a companion paper,26 these analytic solutions are compared with the finite element solutions according to the increase of shear deformation effects.

引用

页码：4097 / 4115

页数：19

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