Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch
Leugering G, Nazarov SA, Slutskij AS (2012)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2012
Journal
Book Volume: 35
Pages Range: 633-658
Journal Issue: 6
DOI: 10.1002/mma.1566
Abstract
We consider a thin elastic plate with piezo patches mounted on top of it. Electrodes are located on the upper and, depending on the devices, at the lower surface of the patches. This piezo actuator is coupled to an elastic body. We develop an asymptotic procedure to derive a two-dimensional approximation of the entire structure. As a result, we obtain an inhomogeneous fourth-order plate equation with piecewise smooth coefficients for the vertical displacement coupled to a second-order in-plane problem. The analysis and the resulting asymptotic limits help clarifying the modeling issue concerning active piezo devices in multidimensional smart structures. Copyright © 2012 John Wiley & Sons, Ltd.
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APA:
Leugering, G., Nazarov, S.A., & Slutskij, A.S. (2012). Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch. Mathematical Methods in the Applied Sciences, 35(6), 633-658. https://doi.org/10.1002/mma.1566
MLA:
Leugering, Günter, Serguei A. Nazarov, and Andrey S. Slutskij. "Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch." Mathematical Methods in the Applied Sciences 35.6 (2012): 633-658.
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