Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The modeling of piezoceramic patch interactions with shells, plates, and beams

Authors: H. T. Banks, R. C. Smith and Yun Wang
Journal: Quart. Appl. Math. 53 (1995), 353-381
MSC: Primary 73R05; Secondary 73K05, 73K10, 73K15
DOI: https://doi.org/10.1090/qam/1330657
MathSciNet review: MR1330657
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Abstract: General models describing the interactions between one or a pair of piezoceramic patches and elastic substructures consisting of a cylindrical shell, plate, or beam are presented. In each case, the contributions to the internal moments and forces due to the presence of the patches are carefully discussed. In addition to these material contributions, the input of voltage to the patches produces mechanical strains that lead to external moments and forces. These external loads depend on the material properties of the patch, the geometry of patch placement, and the voltage. The internal and external moments and forces due to the patches are then incorporated into the equations of motion, which yields models describing the dynamics of the combined structure. These models are sufficiently general to allow for potentially different patch voltages, which implies that they can be suitably employed when using piezoceramic patches for controlling system dynamics when both extensional and bending vibrations are present.

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DOI: https://doi.org/10.1090/qam/1330657
Article copyright: © Copyright 1995 American Mathematical Society

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