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Mechanics of Loops and Arches
Mechanics of Loops and Arches
By Dr. Lawrie Virgin
Professor
Duke University, Department of Mechanical Engineering and Materials Science
Thu, Sep 3, 2009 2:30 PM
Location: Lopata Hall Room 101
Abstract:
This talk will focus on the deflection and dynamic behavior of very slender structures. For such systems gravity provides a natural loading device, and buckling is a typically encountered feature. Three distinct systems will be considered. First, a looping arch constructed from a material with a softening spring characteristic is examined. The phenomenon of interest is the sub-critical pitchfork bifurcation. An approximate energy analysis is followed by a more detailed approach. Second, a pinched loop is described in which the ends of a clamped-clamped beam are brought together, and orientation of the loop is shown to have a strong effect on subsequent behavior. Finally, a deep arch is subject to end rotation such that snap-through buckling occurs. All of these systems are described analytically in terms of the elastica, and experimental verification is conducted.
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Mechanical, Aerospace & Structural Engineering, Washington University in St. Louis
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