Conceptual issues in geometrically nonlinear analysis of 3D framed structures
Author(s)
Izzuddin, BA
Type
Journal Article
Abstract
This paper aims to clarify some of the conceptual issues which are related to the geometrically nonlinear analysis of 3D framed structures, and which have been a source of previous confusion. In particular, the paper discusses the symmetry of the tangent stiffness matrix and the nature of the element end moments. It is shown that a symmetric tangent stiffness matrix can always be achieved for a conservative system if the nodal equilibrium equations, including the equations which describe moment equilibrium, are identical to those derived from a variational energy approach. With regard to the element end moments, it is suggested that any definition can be adopted in formulating the geometrically nonlinear element response. Furthermore, it is proposed that any definition for nodal rotations expressing a unique vector transformation may be adopted without compromising modelling accuracy. The argument of this paper is validated with reference to three variants of a large displacement analysis method for 3D frames, where several illustrative examples are utilised. (C) 2001 Published by Elsevier Science B.V.
Version
Accepted version
Date Issued
2001-12
Citation
COMPUT METHOD APPL M, 2001, 191 (8-10), pp.1029-1053
ISSN
0045-7825
Start Page
1029
End Page
1053
Journal / Book Title
COMPUT METHOD APPL M
Volume
191
Issue
8-10
Copyright Statement
© 2001 Published by Elsevier Science B.V. NOTICE: this is the author's version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, Volume 191, issue 8-10, (2001) doi:10.1016/S0045-7825(01)00317-6
Source Volume Number
191