Second-Order Elastic Plane-Frame Analysis Using Finite-Element Method
Publication: Journal of Structural Engineering
Volume 123, Issue 9
Abstract
Members of a plane-frame structure may be subjected to a combination of lateral loads, end moments, and axial forces. Analysis of such a structure may be classified as elementary, first-order or second-order, depending on the load conditions, magnitude of displacements, and method of solution. A numerical procedure is presented in this paper for the solution of geometrically nonlinear problems considering second-order effects. After a brief literature review, the paper presents the assumptions pertinent to the research; the relationship between the engineering strain and Green strain tensor considering small strain and moderate to large rotations; finite-element consideration in the derivation of the incremental stiffness matrices using increments of total potential energy and the concepts of a variational method; a procedure for the solution of the nonlinear problems and its algorithm; numerical examples and comparison of the numerical results with published literature; and conclusions and results. The algorithm that is presented in this paper is useful in identifying the differences between the firstand second-order analysis of structural systems.
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Information
Published In
Journal of Structural Engineering
Volume 123 • Issue 9 • September 1997
Pages: 1225 - 1235
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Sep 1, 1997
Published in print: Sep 1997
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