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Analysis of Planar Bistable and Snap-through Arches for Contact and Dynamic Loads

Maharana, P and Sonawane, J and Belehalli, P and Anathasuresh, GK (2019) Analysis of Planar Bistable and Snap-through Arches for Contact and Dynamic Loads. In: IFToMM World Congress on Mechanism and Machine Science. 2019, pp. 3245-3254.

Full text not available from this repository.
Official URL: https://doi.org/10.1007/978-3-030-20131-9_320

Abstract

We present the concept of using an array of dynamically snapping arches as a self-offloading diabetic footwear mechanism. To develop such a mechanism, we study the nonlinear behavior of the pinned-pinned and fixed-fixed shallow arches for contact and dynamic loads, respectively. First, we analyze the contact interaction of a pinned-pinned arch with a rigid flat edge by posing it as an energy minimization problem. The point contact, line contact, and bifurcation of the line contact into two point contacts are considered as three cases in the contact analysis. In each case, we calculate the critical force required during transition from one type of contact to another. Second, the snap-through dynamic buckling of a fixed-fixed arch is analyzed and a closed-form solution for dynamic critical buckling load is found for two special cases. These results are compared with those from the finite element simulations. © 2019, Springer Nature Switzerland AG.

Item Type: Conference Paper
Publication: Mechanisms and Machine Science
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords: Arches; Beams and girders; Buckling; Dynamic loads; Optical bistability; Point contacts, Closed form solutions; Contact interaction; Critical buckling loads; Dynamic buckling load; Energy minimization problem; Finite element simulations; Nonlinear behavior; Snap-through, Dynamics
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 09 Jan 2023 11:53
Last Modified: 09 Jan 2023 11:53
URI: https://eprints.iisc.ac.in/id/eprint/77936

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