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Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches

Palathingal, Safvan and Ananthasuresh, G K (2019) Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches. In: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 475 (2227).

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Official URL: https://dx.doi.org/10.1098/rspa.2019.0164

Abstract

We analyse spatial bistable arches and present an analytical model incorporating axial, two transverse bending and torsion energy components. We extend the St. Venant and Michell relationship used in flexural-torsional buckling of planar arches and use it in modelling spatial arches. We study deformation pathways in spatial arches and their effect on critical characteristics of bistability such as back and forth switching forces, and the distance travelled by a point of the arch. We show that not considering spatial deformation leads to incorrect inferences concerning the bistability of planar arches too. Thus, this model serves as a generalized framework for the existing analysis on planar arches since they belong to a subset of spatial arches. Additionally, the effects of eccentric loading on spatial deformations are explored for arches with a range of as-fabricated shapes and boundary conditions, and the results are validated with finite-element analysis.

Item Type: Journal Article
Additional Information: copyright for this article belongs to ROYAL SOC
Keywords: snap through; buckling in arches; sway-buckling; lateral-torsional buckling; multi-pathway bistability; eccentric loading
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 06 Sep 2019 06:13
Last Modified: 06 Sep 2019 06:13
URI: http://eprints.iisc.ac.in/id/eprint/63497

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