Elastoplastic nonlinear post-buckling analysis of partially restrained space structures
type: Item
instance of: scholarly article
title: Elastoplastic nonlinear post-buckling analysis of partially restrained space structures
zbMATH Open document ID: 0656.73025
DOI: 10.1016/0045-7825(88)90096-5
author: Ker-Ming Nee
author: Achintya Haldar
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: A method is proposed here to analyze a space structure with large deformation, partially restrained connections, and material nonlinearities using the plastic hinge concept. The assumed stress method is used to derive an explicit form of tangent stiffness satisfying joint equilibrium and displacement compatability. The unqiue feature of the method is that it is extremely efficient since the tangent stiffness is expressed in an explicit form and can easily be modified to consider different factors. The method can be used to study both the pre- and post-buckling behavior of space structures. It is verified with experimental and numerical results available in the literature. The robustness of the algorithm is confirmed by applying it to analyze several problems of practical importance. The method is robust yet simple, accurate, and economical.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4072512
zbMATH Keywords: Newton-Raphson method
zbMATH Keywords: constant arc length procedure
zbMATH Keywords: plastic hinge concept
zbMATH Keywords: stress method
zbMATH Keywords: explicit form of tangent stiffness
zbMATH Keywords: joint equilibrium
zbMATH Keywords: displacement compatability
zbMATH Keywords: pre- and post-buckling behavior
zbMATH Keywords: robustness of the algorithm
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90096-5
OpenAlex ID: W2077891621
cites work: On the geometrical stiffness of a beam in space - A consistent v.w. approach
cites work: Finite element analysis of two- and three-dimensional elasto-plastic frames - The natural approach
cites work: Large displacement analysis of three-dimensional beam structures
cites work: Q3308993
cites work: Solution techniques for non−linear finite element problems
cites work: Solution algorithms for nonlinear structural problems
cites work: An arc-length method including line searches and accelerations
cites work: A finite element formulation for problems of large strain and large displacement
cites work: Q3850492
cites work: A simple and efficient beam element for the combined nonlinear analysis of frameworks
cites work: Instability analysis of space trusses using exact tangent-stiffness matrices
cites work: Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses
cites work: Geometrically nonlinear analysis of space frames by an incremental iterative technique
cites work: Post-buckling analysis of spatial structures by vector iteration methods
cites work: The plastic node method: A new method of plastic analysis
cites work: AN APPROACH TO THE NON-LINEAR BEHAVIOUR OF THE MEMBERS OF A RIGID JOINTED PLANE FRAMEWORK WITH FINITE DEFLECTIONS
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description: scientific article; zbMATH DE number 4072512