Arch-profiles of bistable arches, in their two force-free equilibrium states, are related to each other. This bilateral relationship is derived for arches with fixed–fixed boundary conditions in two forms: a nonlinear single-variable equation for analysis and a closed-form analytical expression for design. Some symmetrical features of shape as well as necessary and sufficient conditions for bistability are presented as corollaries. Analysis and design of arch-profiles using the bilateral relationship are illustrated through examples.
Analysis and Design of Fixed–Fixed Bistable Arch-Profiles Using a Bilateral Relationship
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the Journal of Mechanisms and Robotics. Manuscript received July 17, 2018; final manuscript received February 19, 2019; published online April 8, 2019. Assoc. Editor: David J. Cappelleri.
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Palathingal, S., and Ananthasuresh, G. K. (April 8, 2019). "Analysis and Design of Fixed–Fixed Bistable Arch-Profiles Using a Bilateral Relationship." ASME. J. Mechanisms Robotics. June 2019; 11(3): 031002. https://doi.org/10.1115/1.4043044
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