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

来源：

COMPUTERS & STRUCTURES | 2011年 / 89卷 / 13-14期

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

页码：1406 / 1416

页数：11

共 31 条

[1] On free vibration of nonsymmetrical thin-walled beams [J].

Ambrosini, Daniel .

THIN-WALLED STRUCTURES, 2009, 47 (6-7) :629-636

[2]

AMBROSINI R, 1991, THESIS U NACL TUCUMA

[3] DYNAMIC ANALYSIS OF THIN-WALLED AND VARIABLE OPEN SECTION BEAMS WITH SHEAR FLEXIBILITY [J].

AMBROSINI, RD ;

RIERA, JD ;

DANESI, RF .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (17) :2867-2885

[4] A modified Vlasov theory for dynamic analysis of thin-walled and variable open section beams [J].

Ambrosini, RD ;

Riera, JD ;

Danesi, RF .

ENGINEERING STRUCTURES, 2000, 22 (08) :890-900

[5] On free vibration analysis of thin-walled beams with nonsymmetrical open cross-sections [J].

Arpaci, A ;

Bozdag, E .

COMPUTERS & STRUCTURES, 2002, 80 (7-8) :691-695

[6] Shear-flexible thin-walled element for composite I-beams [J].

Back, Sung Y. ;

Will, Kenneth M. .

ENGINEERING STRUCTURES, 2008, 30 (05) :1447-1458

[7]

Becker E.B., 1981, Finite Elements, an Introduction, VI

[8] ON COUPLED BENDING AND TORSIONAL VIBRATION OF UNIFORM BEAMS [J].

BISHOP, RED ;

CANNON, SM ;

MIAO, S .

JOURNAL OF SOUND AND VIBRATION, 1989, 131 (03) :457-464

[9] Quadruply coupled linear free vibrations of thin-walled beams with a generic open section [J].

Chen, Hong Hu ;

Hsiao, Kuo Mo .

ENGINEERING STRUCTURES, 2008, 30 (05) :1319-1334

[10]

Clough R., 1975, Dynamics of Structures

← 1 2 3 4 →