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Design of Bistable Pinned-Pinned Arches with Torsion Springs by Determining Critical Points

Palathingal, Safvan and Ananthasuresh, GK (2017) Design of Bistable Pinned-Pinned Arches with Torsion Springs by Determining Critical Points. In: 4th IFToMM Asian Conference on Mechanism and Machine Science (IFToMM Asian MMS) / International Conference on Mechanism and Machine Science (CCMMS), DEC 15-17, 2016, Guangzhou, PEOPLES R CHINA, pp. 677-688.

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Official URL: http://dx.doi.org/10.1007/978-981-10-2875-5_56

Abstract

This paper describes a simplified method to analyze and design a bistable pinned-pinned arch with torsion springs at the pin (revolute) joints. Finite, but not zero, values of torsion spring constants offer the dual advantage of being amenable to monolithic compliant bistable arches wherein torsion springs are realized with equivalent revolute flexures; and giving enhanced range of travel between the stable states and reduced switching forces. However, the equilibrium equations become intractable for analytical solution unlike the extreme cases of fixed-fixed and pinned-pinned arches. Therefore, a new method for analyzing and designing novel bistable arches is presented here by determining critical points in the force-displacement curve. First, the equilibrium equations for post-buckling analysis are derived by writing the deflected profile as a linear combination of the buckling mode shapes of the corresponding straight beam with torsion springs at the pinned ends. These equations are then used to find the critical points with maximum, minimum, and zero forces. The critical points not only provide an approximate view of the bistable force-displacement curve but also enable synthesis of arches with desired behaviour. By using this semi-analytical method, we present an example of an arch with reduced switching force, large switch-back force, and enhanced travel between the two stable states.

Item Type: Conference Proceedings
Additional Information: 4th IFToMM Asian Conference on Mechanism and Machine Science (IFToMM Asian MMS) / International Conference on Mechanism and Machine Science (CCMMS), Guangzhou, PEOPLES R CHINA, DEC 15-17, 2016
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 10 Jun 2017 04:40
Last Modified: 21 Feb 2019 08:53
URI: http://eprints.iisc.ac.in/id/eprint/57183

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