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• W2051823726 startingPage "109" @default.
• W2051823726 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." @default.
• W2051823726 created "2016-06-24" @default.
• W2051823726 creator A5021062734 @default.
• W2051823726 creator A5049251132 @default.
• W2051823726 date "2011-01-01" @default.
• W2051823726 modified "2023-10-17" @default.
• W2051823726 title "Automatic DR Structural Analysis of Snap-Through and Snap-Back Using Optimized Load Increments" @default.
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• W2051823726 doi "https://doi.org/10.1061/(asce)0733-9445(2011)137:1(109)" @default.
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