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

共 29 条

[1]

Anderson J.M., 1972, J STRUCT DIV, V98, P269

[2] LATERAL BUCKLING ANALYSIS OF BEAMS BY THE FEM [J].

ATTARD, MM .

COMPUTERS & STRUCTURES, 1986, 23 (02) :217-231

[3] COUPLED BENDING TORSIONAL DYNAMIC STIFFNESS MATRIX FOR BEAM ELEMENTS [J].

BANERJEE, JR .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 28 (06) :1283-1298

[4]

Barsoum R.S., 1970, INT J NUMER METHODS, V2, P335

[5]

Bleich F., 1952, BUCKLING STRENGTH ME

[6]

CHAJES A, 1952, PRINCIPLES STRUCTURA

[7] A CO FINITE-ELEMENT FORMULATION FOR THIN-WALLED-BEAMS [J].

CHEN, H ;

BLANDFORD, GE .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 28 (10) :2239-2255

[8]

Chen W.F., 1977, THEORY BEAM COLUMNS, V2

[9]

CHUGH AK, 1977, INT J NUMER MEHTODS, V2, P1681

[10]

Connor J.J., 1976, ANAL STRUCTURAL MEMB

← 1 2 3 →