Large displacement analysis of space-frame structures

Meek J.L. and Loganathan S. (1989) Large displacement analysis of space-frame structures. Computer Methods in Applied Mechanics and Engineering, 72 1: 57-75. doi:10.1016/0045-7825(89)90121-7


Author Meek J.L.
Loganathan S.
Title Large displacement analysis of space-frame structures
Journal name Computer Methods in Applied Mechanics and Engineering   Check publisher's open access policy
ISSN 0045-7825
Publication date 1989
Sub-type Article (original research)
DOI 10.1016/0045-7825(89)90121-7
Volume 72
Issue 1
Start page 57
End page 75
Total pages 19
Subject 1706 Computer Science Applications
2206 Computational Mechanics
Abstract The current research is mainly concerned with the geometrically nonlinear static analysis of three-dimensional space-frame structures. The elastic analysis of frame structures by means of the finite element method in the post-buckling range inevitably involves the solution of large systems of nonlinear equations. The most satisfactory way of solving such problems is to combine the arc-length method (Riks and Crisfield) within each increment with the Newton-Raphson method (NR method) as the iteration strategy. For large joint rotations, the joint orientation matrix suggested by Oran has been used to update the rotational displacement of a joint. The present study deals with the 'imperfect' approach to trace the secondary paths of three-dimensional frame structures, the particular examples studied being a two-hinged deep arch and a shallow geodesic dome. Eigenvectors are calculated at bifurcation points to force the structure on to the secondary path by introducing a small perturbation either in load or in geometry.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 05 Jul 2016, 03:24:40 EST by System User