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Microsystem Technologies
Published in: Microsystem Technologies 4/2019

18-12-2018 | Technical Paper

Vibrations of shear deformable FG viscoelastic microbeams

Authors: Mergen H. Ghayesh, Ali Farajpour

Published in: Microsystem Technologies | Issue 4/2019

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Abstract

This is the first paper which investigates the nonlinear forced dynamic response of shear deformable functionally graded (SDFG) microscale beams with viscoelastic properties. A third-order model of shear deformations, which satisfies both the lower and upper boundary conditions, is utilised. The influences of viscoelastic properties are incorporated via the Kelvin–Voigt scheme. Furthermore, the influences of being at a miniature scale are captured via a modified couple stress theory (MCST). The material distribution of the microsystem is modelled via application of the Mori–Tanaka approach. Nonlinear three-dimensional coupled equations, which govern the size-dependent motions of the SDFG microbeam, are derived and then numerically solved. The present results show that for large coupled motions, the nonlinearity caused by viscosity plays a crucial role in the dynamics of SDFG microbeams.
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Appendix
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Metadata
Title
Vibrations of shear deformable FG viscoelastic microbeams
Authors
Mergen H. Ghayesh
Ali Farajpour
Publication date
18-12-2018
Publisher
Springer Berlin Heidelberg
Published in
Microsystem Technologies / Issue 4/2019
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-018-4184-8

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