Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/116706
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Type: Journal article
Title: Dynamic characterisation of functionally graded imperfect Kirchhoff microplates
Author: Ghayesh, M.
Farokhi, H.
Gholipour, A.
Tavallaeinejad, M.
Citation: Composite Structures, 2017; 179:720-731
Publisher: Elsevier
Issue Date: 2017
ISSN: 0263-8223
1879-1085
Statement of
Responsibility: 
Mergen H. Ghayesh, Hamed Farokhi, Alireza Gholipour, Mohammad Tavallaeinejad
Abstract: This paper aims at thorough investigation of the nonlinear forced vibration characteristics of functionally graded imperfect microplates. To this end, the modified couple stress (MCS) theory together with the Mori-Tanaka homogenisation technique is employed in order to take into account the size-dependent behaviour and the through-thickness variable material properties of the functionally graded imperfect microsystem, respectively. A geometric imperfection as a slight curvature is considered and all the out-of-plane and in-plane motions are retained in the nonlinear modelling and simulations. The nonlinear equations of motion are derived using the Lagrange equations; the large dimensional multi-degree-of-freedom truncated model is solved using a parameter-continuation method. Comprehensive investigations into the effect of material gradient parameter as well as the geometric imperfection on the dynamic characteristics of the functionally graded imperfect microplate are performed through extensive numerical simulations. Finally, the importance of incorporating small-size influences, via the MCS theory, is emphasized comparing the vibrations of the microsystem for different values of length-scale parameter.
Keywords: Functionally graded materials; Mori-Tanaka homogenisation; imperfection; MCS theory
Rights: © 2017 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.compstruct.2017.04.075
Published version: http://dx.doi.org/10.1016/j.compstruct.2017.04.075
Appears in Collections:Aurora harvest 3
Mechanical Engineering publications

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