Stiffness Matrix for Geometric Nonlinear Analysis
Publication: Journal of Structural Engineering
Volume 112, Issue 4
Abstract
A new stiffness matrix for the analysis of thin walled beams is derived. Starting from the principle of virtual displacements, an updated Lagrangian procedure for nonlinear analysis is developed. Inclusion of nonuniform torsion is accomplished through adoption of the principle of sectorial areas for cross‐sectional displacements. This requires incorporation of a warping degree of freedom in addition to the conventional six degrees of freedom at each end of the element. Problems encountered in the use of this and similar matrices in three‐dimensional analysis are described.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 4 • April 1986
Pages: 853 - 877
Copyright
Copyright © 1986 ASCE.
History
Published online: Apr 1, 1986
Published in print: Apr 1986
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