A beam element for coupled torsional-flexural vibration of doubly unsymmetrical thin walled beams axially loaded

被引:21
|
作者
de Borbon, Fernanda [1 ]
Mirasso, Anibal [1 ]
Ambrosini, Daniel [1 ]
机构
[1] Natl Univ Cuyo, Struct Engn Master Program, Fac Engn, Mendoza, Argentina
关键词
Vlasov's theory; Shear deformations; Coupled vibrations; Rotatory inertia; Natural frequencies; STIFFNESS MATRICES;
D O I
10.1016/j.compstruc.2011.03.007
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A coupled torsional-bending finite element with shear deformations and rotatory inertia for vibration of nonsymmetric thin walled beams axially loaded is developed. The equations of motion are based on Vlasov's theory of thin-walled beams, which are modified to include an axial load. The formulation is also applicable to solid beams. The Hermite cubic polynomials are adopted as shape functions. Mass, elastic stiffness and geometrical stiffness matrices of unsymmetrical cross-section beams are presented. In order to verify the accuracy of this theory and the corresponding beam element developed, a numerical study is presented and compared with the literature and experimental tests. (C) 2011 Elsevier Ltd. All rights reserved.
引用
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页码:1406 / 1416
页数:11
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