Asymmetric bifurcation of thermally and electrically actuated functionally graded material microbeam

Chen, Xue and Meguid, S. A. (2016) Asymmetric bifurcation of thermally and electrically actuated functionally graded material microbeam. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2186). p. 20150597. ISSN 1364-5021

Full text not available from this repository.
Official URL: http://dx.doi.org/10.1098/rspa.2015.0597

Abstract

In this paper, we investigate the symmetric snap-through buckling and the asymmetric bifurcation behaviours of an initially curved functionally graded material (FGM) microbeam subject to the electrostatic force and uniform/non-uniform temperature field. The beam model is developed in the framework of Euler–Bernoulli beam theory, accounting for the through-thickness power law variation of the beam material and the physical neutral plane. Based on the Galerkin decomposition method, the beam model is simplified as a 2 d.f. reduced-order model, from which the necessary snap-through and symmetry breaking criteria are derived. The results of our work reveal the significant effects of the power law index on the snap-through and symmetry breaking criteria. Our results also reveal that the non-uniform temperature field can actuate the FGM microbeam and induce the snap-through and asymmetric bifurcation behaviours.

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 12:52
Last Modified: 12 Nov 2018 12:52
URI: http://nrl.northumbria.ac.uk/id/eprint/36616

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