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Type: Journal article
Title: Nonlinear mechanics of beams with partial piezoelectric layers
Author: Farokhi, H.
Ghayesh, M.H.
Citation: Journal of Applied Mechanics, 2019; 86(10):101011-1-101011-14
Publisher: American Society of Mechanical Engineers
Issue Date: 2019
ISSN: 0021-8936
Statement of
Hamed Farokhi, Mergen H. Ghayesh
Abstract: This paper investigates the nonlinear static response as well as nonlinear forced dynamics of a clamped–clamped beam actuated by piezoelectric patches partially covering the beam from both sides. This study is the first to develop a high-dimensional nonlinear model for such a piezoelectric-beam configuration. The nonlinear dynamical resonance characteristics of the electromechanical system are examined under simultaneous DC and AC piezoelectric actuations, while highlighting the effects of modal energy transfer and internal resonances. A multiphysics coupled model of the beam-piezoelectric system is proposed based on the nonlinear beam theory of Bernoulli–Euler and the piezoelectric constitutive equations. The discretized model of the system is obtained with the help of the Galerkin weighted residual technique while retaining 32 degrees-of-freedom. Three-dimensional finite element analysis is conducted as well in the static regime to validate the developed model and numerical simulation. It is shown that the response of the system in the nonlinear resonant region is strongly affected by a three-to-one internal resonance.
Keywords: Nonlinear mechanics; piezoelectric layer; coupled; bending; computational mechanics; dynamics; elasticity; structures; vibration
Rights: Copyright © 2019 by ASME
RMID: 1000013423
DOI: 10.1115/1.4044241
Appears in Collections:Mechanical Engineering publications

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