Journal
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume 87, Issue 12, Pages -Publisher
ASME
DOI: 10.1115/1.4048199
Keywords
energy; arch; Euler; buckling; infinity; structures
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Funding
- National Science Foundation [NSF-CMMI-1663376, NSF-CMMI-1943917]
- Air Force Office of Scientific Research Grant [FA9550-19-1-0031]
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A buckled beam with shallow rise under lateral constraint is considered. The initial rise results from a prescribed end displacement. The beam is modeled as inextensible, and analytical solutions of the equilibria are obtained from a constrained energy minimization problem. For simplicity, the results are derived for the archetypal beam with pinned ends. It is found that there are an infinite number of zero lateral-load equilibria, each corresponding to an Euler buckling mode. A numerical model is used to verify the accuracy of the model and also to explore the effects of extensibility.
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