Two kinds of C0-type elements for buckling analysis of thin-walled curved beams

被引：16

作者：

Hu, N ^{[1
]}

Hu, B

Yan, B

Fukunaga, H

Sekine, H

机构：

[1] Tsing Hua Univ, Dept Engn Mech, Beijing 100084, Peoples R China

[2] Chongqing Iron & Steel Coll, Dept Mech Engn, Chongqing 630050, Peoples R China

[3] Chongqing Univ, Dept Engn Mech, Chongqing 630044, Peoples R China

[4] Tohoku Univ, Dept Aeronaut & Space Engn, Aoba Ku, Sendai, Miyagi 98077, Japan

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1999年 / 171卷 / 1-2期

关键词：

D O I：

10.1016/S0045-7825(98)00246-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with the spatial buckling analysis of curved beams. First, a second-order expansion for the finite rigid-rotations in nonlinear strain expressions is derived and employed to produce the geometric stiffness matrix. This second-order accurate geometric stiffness matrix can ensure that all significant instability modes can be predicted. Furthermore, Timoshenko's and Vlasov's beam theories are combined to develop two kinds of the Co-type finite element formulations for arbitrary cross-section thin-walled curved beams, which include the isoparametric curved beam element and the strain curved beam element. These two kinds of elements include both shear and warping deformations caused by bending moments and bimoments. In numerical examples, the effect of the second-order terms in the nonlinear strains on the buckling load is investigated. Furthermore, efficiencies of the proposed two kinds of elements are studied in the buckling analysis of curved beam structures. (C) 1999 Elsevier Science S.A. All rights reserved.

引用

页码：87 / 108

页数：22

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