Improvement in accuracy of the finite element method in analysis of stability of Euler-Bernoulli and Timoshenko beams

被引：7
|
作者：
Wieckowski, Z. [1 ]
Golubiewski, M. [1 ]
机构：
[1] Tech Univ Lodz, Chair Mech Mat, PL-90924 Lodz, Poland
来源：
THIN-WALLED STRUCTURES | 2007年 / 45卷 / 10-11期
关键词：
buckling; Euler-Bernoulli beam; Timoshenko beam; finite element method;
D O I：
10.1016/j.tws.2007.08.018
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
The problem of buckling of the Euler-Bernoulli and Timoshenko beams is analyzed by the finite element method. Significant improvement in accuracy of the method is obtained by replacing the discontinuous function of the bending moment related to the approximation of the eigenfunction obtained by FEM by a "smoothed" function in the Rayleigh quotient. The smoothed function is obtained by fitting the discontinuous one using the least square technique. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：950 / 954
页数：5
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