横截面
帧(网络)
横向剪切
理论(学习稳定性)
梁(结构)
剪切(地质)
算法
计算机科学
变形(气象学)
有限元法
要素(刑法)
结构工程
物理
材料科学
工程类
复合材料
电信
气象学
法学
机器学习
政治学
作者
Wenxiong Li,Hang Ma,Taicong Chen
出处
期刊:The Journal of Information and Computational Science
[Binary Information Press]
日期:2015-04-10
卷期号:12 (6): 2335-2350
标识
DOI:10.12733/jics20105674
摘要
Based on the general solutions of the governing equation for linear buckling of Timoshenko beam under axial force, exact shape functions for transverse shear deformable beam are constructed and corresponding exact element stifiness matrix and geometrical stifiness matrix are formulated for stability analysis of frame structures. Two new algorithms are developed for the determination of a given number of critical load factors or all critical load factors in a given range. In addition to the conventional eigenvalue extraction method, the well-known Wittrick-Williams method is employed in both algorithms. Numerical examples are presented to demonstrate the efiectiveness of the proposed element and algorithms.
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