Viscoelastically coupled in-plane and transverse dynamics of imperfect microplates

Ghayesh, Mergen H., Farokhi, Hamed and Farajpour, Ali (2019) Viscoelastically coupled in-plane and transverse dynamics of imperfect microplates. Thin-Walled Structures. ISSN 0263-8231 (In Press)

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Official URL: https://doi.org/10.1016/j.tws.2019.01.048

Abstract

A Kelvin-Voigt based constitutive equation is implemented in Hamilton’s framework in order to derive the coupled in-plane/transverse equations governing the motion of a microplate with geometric imperfections, while considering geometric nonlinearities. The Kirchhoff plate theory and the modified couple stress-based theory (MCST) are utilized to obtain the strain and kinetic energies of the imperfect microsystem. Then, the Kelvin–Voigt energy dissipation scheme is employed to derive expressions for the work of the viscous components of the classical and non-classical stress tensors. Frequency-response diagrams are plotted to investigate the nonlinear resonant oscillations of the imperfect viscoelastic microsystem in the presence of geometric imperfections. Numerical simulations revealed that the concurrent presence of geometric imperfections and the nonlinear amplitude-dependent damping mechanism alters the bifurcational behaviour of the viscoelastic microsystem substantially. It is shown that at oscillations of large amplitude, the nonlinear damping contributions become significant.

Item Type: Article
Uncontrolled Keywords: viscoelastic material; nonlinear dynamics; imperfect microscale plates; Kelvin–Voigt viscoelastic damping; modified couple stress theory (MCST)
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 30 Aug 2019 10:23
Last Modified: 11 Oct 2019 13:01
URI: http://nrl.northumbria.ac.uk/id/eprint/40468

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