This paper, for the first time, investigates the nonlinear forced dynamics of a three-layered microplate taking into account all the in-plane and out-of-plane motions. The Kirchhoff's plate theory, along with von Kármán nonlinear strains, is employed to derive the nonlinear size-dependent transverse and in-plane equations of motion in the modified couple stress theory (MCST) framework, based on Hamilton's energy principle. A nonconservative damping force of viscous type as well as an external excitation load consisting of a harmonic term is considered in the model. All the transverse and in-plane displacements and inertia are accounted for in both the theoretical modeling and numerical simulations; this leads to further complexities in the nonlinear model and simulations. These complexities arising in the theoretical model are overcome through the use of a well-optimized numerical scheme. The effects of different layer arrangements and different layer material percentages on the force–amplitude and frequency–amplitude curves of the microsystem are investigated. The results of this study shed light in the nonlinear resonant behavior of multilayered microplates and could be helpful in design and analysis of multilayered microplates in microelectromechanical systems (MEMS) applications.
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February 2018
Research-Article
Nonlinear Dynamics of Multilayered Microplates
Mergen H. Ghayesh
Mergen H. Ghayesh
School of Mechanical Engineering,
University of Adelaide,
South Australia 5005, Australia
e-mail: mergen.ghayesh@adelaide.edu.au
University of Adelaide,
South Australia 5005, Australia
e-mail: mergen.ghayesh@adelaide.edu.au
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Mergen H. Ghayesh
School of Mechanical Engineering,
University of Adelaide,
South Australia 5005, Australia
e-mail: mergen.ghayesh@adelaide.edu.au
University of Adelaide,
South Australia 5005, Australia
e-mail: mergen.ghayesh@adelaide.edu.au
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 20, 2017; final manuscript received August 7, 2017; published online November 1, 2017. Assoc. Editor: Mohammad Younis.
J. Comput. Nonlinear Dynam. Feb 2018, 13(2): 021006 (12 pages)
Published Online: November 1, 2017
Article history
Received:
May 20, 2017
Revised:
August 7, 2017
Citation
Ghayesh, M. H. (November 1, 2017). "Nonlinear Dynamics of Multilayered Microplates." ASME. J. Comput. Nonlinear Dynam. February 2018; 13(2): 021006. https://doi.org/10.1115/1.4037596
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