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Published in: Microsystem Technologies 8/2019

12-01-2019 | Technical Paper

Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection

Authors: Seyed Sajad Mirjavadi, Behzad Mohasel Afshari, Mohammad Reza Barati, A. M. S. Hamouda

Published in: Microsystem Technologies | Issue 8/2019

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Abstract

Nonlinear free/forced vibration of a functionally graded graphene nanoplatelet (GNP) reinforced microbeam having geometrical imperfection which is rested on a non-linear elastic substrate have been studied in the present research. Graphene Platelets have been uniformly and non-uniformly scattered in the cross section area of the microbeam. Non-uniform distribution of GNPs is considered to be linear or non-linear type. Geometric imperfection is considered similar to the first vibration mode of microbeam. Size effects due to micro-rotations are captured in this study by means of modified couple stress elasticity. In the case of forced vibration, a uniform harmonic load is exerted to the top surface of microbeam. Harmonic balance method has been implemented to solve the non-linear governing equation of microbeam having quadratic and cubic nonlinearities. In this regard, frequency-amplitude curves are obtained and their trends are studied by changing of GNP amount and distribution, geometric imperfection, forced amplitude and hardening foundation.

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Metadata
Title
Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection
Authors
Seyed Sajad Mirjavadi
Behzad Mohasel Afshari
Mohammad Reza Barati
A. M. S. Hamouda
Publication date
12-01-2019
Publisher
Springer Berlin Heidelberg
Published in
Microsystem Technologies / Issue 8/2019
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-018-4277-4

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