SPATIAL STABILITY AND FREE-VIBRATION OF SHEAR FLEXIBLE THIN-WALLED ELASTIC BEAMS .2. NUMERICAL APPROACH

被引：24

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.1620372311

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In a companion paper,1 equations of motion and closed-form solutions for spatial stability and free vibration analysis of shear flexible thin-walled elastic beams were analytically derived from the linearized Hellinger-Reissner principle. In this paper, elastic and geometric stiffness matrices and consistent mass matrix for finite element analysis are evaluated by using isoparametric and Hermitian interpolation polynomials. Isoparametric interpolation functions with 2, 3 and 4 nodes per element are utilized in isoparametric beam elements, and in Hermitian beam elements, the third- and fifth-order Hermitian polynomials including shear deformation effects are newly derived and applied for the calculation of element matrices. In order to verify the validity of the finite element formulation, both analytic and numerical solutions for spatial buckling and free vibration problems including shear effects are presented and compared.

引用

页码：4117 / 4140

页数：24