Automatic DR Structural Analysis of Snap-Through and Snap-Back Using Optimized Load Increments
Publication: Journal of Structural Engineering
Volume 137, Issue 1
Abstract
In this paper, new schemes are presented for the dynamic relaxation (DR) method so that the snap-through and the snap-back regions can be traced automatically. These procedures are based on the minimization of the residual force (MRF) and minimization of the residual energy (MRE), and they are capable of updating the load factor in each DR iteration. The suggested techniques are perfectly automatic. Therefore, they do not require any additional parameters such as arc length, incremental displacement, etc. For numerical verification, some frame and truss structures, all possessing geometrical nonlinear behaviors, are analyzed. Tracing the statical path shows that both the MRF and MRE methods can be used successfully in structures with snap-through and snap-back regions. The numerical results indicate that the MRE scheme traces the statical path with a greater number of increments than the MRF. While the jumping probability of the MRE is less than that of the MRF, the analysis time may increase in the MRE. Also, a comparison between the proposed DR methods and arc-length approach shows that the MRF and MRE procedures can present the limit points with higher accuracy.
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Published In
Journal of Structural Engineering
Volume 137 • Issue 1 • January 2011
Pages: 109 - 116
Copyright
© 2011 ASCE.
History
Received: Apr 12, 2008
Accepted: Jul 2, 2010
Published online: Dec 15, 2010
Published in print: Jan 2011
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