https://doi.org/10.1140/epjp/s13360-023-04143-6
Regular Article
Static pull-in analysis of the cantilever and clamped FG-microswitches in presence of the longitudinal magnetic field based on the modified couple stress theory
1
Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
2
Faculty of science and research, Islamic Azad University, Tehran, Iran
3
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
Received:
4
October
2022
Accepted:
31
January
2023
Published online:
13
June
2023
Since microactuators like microswitches play an essential role in micro-electro-mechanical systems, they have received much attention from scientific researchers. Here the instability behavior of two types of microswitches, cantilever and clamped, are investigated. The microswitches are electrostatically excited in the presence of a uniform longitudinal magnetic field. They are modeled with a microbeam that is suspended above a substrate. The microbeam is assumed to be composed of the functionally graded material through the thickness according to power low. The modified couple stress theory is employed to capture the size effects on the pull-in instability of the microbeam, and the Bernoulli–Euler beam hypothesis is also used to obtain the displacement and rotation field of the FG-microbeam. The equilibrium equation of FG-microbeam is derived using the minimum total potential energy principle, then the Galerkin weighted residual method is employed to solve it. The results are compared with available literature results and show a good agreement. Finally, the effect of material and geometry properties on the pull-in voltage are investigated with and without considering the fringing field effect in the presence of the longitudinal magnetic field.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
