Snap-through buckling of initially curved microbeam subject to an electrostatic force

Chen, Xue and Meguid, S. A. (2015) Snap-through buckling of initially curved microbeam subject to an electrostatic force. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471 (2177). p. 20150072. ISSN 1364-5021

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Abstract

In this paper, the snap-through buckling of an initially curved microbeam subject to an electrostatic force, accounting for fringing field effect, is investigated. The general governing equations of the curved microbeam are developed using Euler–Bernoulli beam theory and used to develop a new criterion for the snap-through buckling of that beam. The size effect of the microbeam is accounted for using the modified couple stress theory, and intermolecular effects, such as van der Waals and Casimir forces, are also included in our snap-through formulations. The snap-through governing equations are solved using Galerkin decomposition of the deflection. The results of our work enable us to carefully characterize the snap-through behaviour of the initially curved microbeam. They further reveal the significant effect of the beam size, and to a much lesser extent, the effect of fringing field and intermolecular forces, upon the snap-through criterion for the curved beam.

Item Type:	Article
Subjects:	H300 Mechanical Engineering
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Becky Skoyles
Date Deposited:	12 Nov 2018 13:04
Last Modified:	11 Oct 2019 18:45
URI:	http://nrl.northumbria.ac.uk/id/eprint/36619

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