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Published in: Meccanica 4-5/2017

09-04-2016

Study of non-uniform viscoelastic nanoplates vibration based on nonlocal first-order shear deformation theory

Authors: M. Mohammadsalehi, O. Zargar, M. Baghani

Published in: Meccanica | Issue 4-5/2017

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Abstract

In this paper, vibration features of variable thickness rectangular viscoelastic nanoplates are studied. In order to consider the small-scale and the transverse shear deformation effects, governing differential equations and relevant boundary conditions are adopted based on the nonlocal elasticity theory in relation to first-order shear deformation theory of plates. The numerical solution for the nanoplate vibration frequencies is proposed applying the differential quadrature method, as a simple, effective and precise numerical tool. The present formulation and solution method are validated showing their fast convergence rate and comparison of results, in limited cases, using the available literature. Excellent agreement between the obtained and available results is observed. The effects of structural damping coefficient, boundary conditions, aspect ratio, nonlocal and variable thickness parameters on viscoelastic nanoplates vibration behaviour are studied in detail.

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Appendix
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Metadata
Title
Study of non-uniform viscoelastic nanoplates vibration based on nonlocal first-order shear deformation theory
Authors
M. Mohammadsalehi
O. Zargar
M. Baghani
Publication date
09-04-2016
Publisher
Springer Netherlands
Published in
Meccanica / Issue 4-5/2017
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0432-0

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