Geometrical nonlinear analysis of thin-walled composite beams using finite element method based on first order shear deformation theory

Vo, Thuc and Lee, Jaehong (2011) Geometrical nonlinear analysis of thin-walled composite beams using finite element method based on first order shear deformation theory. Archive of Applied Mechanics, 81 (4). pp. 419-435. ISSN 0939-1533

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Official URL: http://dx.doi.org/10.1007/s00419-010-0407-x

Abstract

Based on a seven-degree-of-freedom shear deformable beam model, a geometrical nonlinear analysis of thin-walled composite beams with arbitrary lay-ups under various types of loads is presented. This model accounts for all the structural coupling coming from both material anisotropy and geometric nonlinearity. The general nonlinear governing equations are derived and solved by means of an incremental Newton–Raphson method. A displacement-based one-dimensional finite element model that accounts for the geometric nonlinearity in the von Kármán sense is developed to solve the problem. Numerical results are obtained for thin-walled composite beam under vertical load to investigate the effects of fiber orientation, geometric nonlinearity, and shear deformation on the axial–flexural–torsional response.

Item Type: Article
Uncontrolled Keywords: Thin-walled composite beams, shear deformation, axial–flexural–torsional response, nonlinear theory
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Thuc Vo
Date Deposited: 21 Oct 2013 08:56
Last Modified: 08 May 2017 14:24
URI: http://nrl.northumbria.ac.uk/id/eprint/14092

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