A new finite element of spatial thin-walled beams

被引：4
|
作者：
Wang, Xiao-feng [1 ]
Zhang, Qi-lin [1 ]
Yang, Qing-shan [2 ]
机构：
[1] Tongji Univ, Coll Civil Engn, Shanghai 200092, Peoples R China
[2] Beijing Jiaotong Univ, Sch Civil Engn, Beijing 100044, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 09期
基金：
中国国家自然科学基金;
关键词：
spatial beams; thin-walled section; stiffness matrix; shear deformation; coupling of flexure and torsion; second shear stress; STEEL SECTION BEAM; SHEAR DEFORMATION; MODEL; BEHAVIOR; TORSION;
D O I：
10.1007/s10483-010-1349-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the theories of Timoshenko's beams and Vlasov's thin-walled members, a new spatial thin-walled beam element with an interior node is developed. By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and second shear stress are considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples show that the developed model is accurate and can be applied in the finite element analysis of thin-walled structures.
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页码：1141 / 1152
页数：12
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