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Type: Journal article
Title: Mechanics of viscoelastic functionally graded microcantilevers
Author: Ghayesh, M.
Citation: European Journal of Mechanics A: Solids, 2019; 73:492-499
Publisher: Elsevier
Issue Date: 2019
ISSN: 0997-7538
Statement of
Mergen H. Ghayesh
Abstract: An elastically supported viscoelastic functionally graded (FG) microcantilever is considered and its nonlinear mechanics is analysed for the first time. Moreover, for the first time, energy transfer via internal resonances and motion complexity are analysed. A nonlinear spring model is incorporated as an elastic support which is representative of elasticity induced from neighbouring devices. Size effects are incorporated using the modified couple stress theory (MCST). Mori-Tanaka formula is utilised for FG-material-property variations. Kinematics/kinetics for an infinitesimal beam elements in conjunction with Hamilton's method are used for large curvatures. Galerkin's technique is used for reductions and truncations of the dynamic model of elastically supported viscoelastic FG microsystem. Both base-excitation/frequency continuations are performed and the dynamics is investigated.
Keywords: Viscosity; nonlinear; internal resonance; microcantilever; elastically supported; functionally graded
Rights: © 2018 Elsevier Masson SAS. All rights reserved.
DOI: 10.1016/j.euromechsol.2018.09.001
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Mechanical Engineering publications

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