標題: Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams
作者: Lin, WY
Hsiao, KM
機械工程學系
Department of Mechanical Engineering
關鍵字: co-rotational formulation;thin-walled beam;geometric nonlinearity;buckling;postbuckling
公開日期: 2001
摘要: A doubly symmetric thin-walled beam element with open section is derived using co-rotational (CR) total Lagrangian (TL) formulation. The effects of deformation-dependent third-order terms of element nodal forces on the buckling load and post-buckling behavior are investigated. All coupling among bending, twisting, and stretching deformations for beam element is considered by consistent second-order linearization of the fully geometrically nonlinear beam theory. However, all third-order terms of nodal forces, which are relevant to the twist rate, rate of twist rate and curvature of the beam axis are also considered. An incremental-iterative method based on the Newton-Raphson method combined with constant are length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations. The zero value of the tangent stiffness matrix determinant of the structure is used as the criterion of the buckling state. A parabolic interpolation method of the arc length is used to find the buckling load. Numerical examples are presented to demonstrate the accuracy and efficiency of the proposed element and to investigate the effect of third-order terms of element nodal forces on the buckling load and post-buckling behavior of doubly symmetric thin-walled beams. (C) 2001 Elsevier Science B.V. All rights reserved.
URI: http://hdl.handle.net/11536/29960
http://dx.doi.org/10.1016/S0045-7825(01)00212-2
ISSN: 0045-7825
DOI: 10.1016/S0045-7825(01)00212-2
期刊: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume: 190
Issue: 45
起始頁: 6023
結束頁: 6052
顯示於類別:期刊論文


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