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Proceedings Paper

Natural frequencies of a smart plate with segmented piezoelectric patches
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Paper Abstract

Classical Plate Theory (CPT) has been applied successfully in the past to the plates with distributed piezoelectric patch bonded to the surface or embedded within the layers. In all earlier models the mass and stiffness' contributions from sensor and actuator patches were neglected for estimating the natural frequencies of the smart plate. Also the thickness direction electric fields and strain fields inside the patches are assumed to be constant over the entire area of the patch. The validity of these assumptions depends on the size and relative stiffnesses of the patches and is not investigated before. In this paper the CPT is used to estimate the natural frequencies of a plate structure with surface bonded piezoelectric patches without the above-mentioned assumptions. A detailed modeling of the patches is developed by expressing the electric potential inside the patch as a quadratic function of thickness coordinate. The equations of motion are derived for a generally isotropic plate with surface bonded segmented patches. Solution to the dynamic equation of motion are obtained using Fourier series method for a plate with collocated piezoelectric actuator/sensor patches. The effect of the passive and active stiffness' of the surface bonded actuator and sensor patches on the dynamic characteristics of host plate structure is investigated.

Paper Details

Date Published: 19 June 2000
PDF: 10 pages
Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); doi: 10.1117/12.388791
Show Author Affiliations
Senthil V. Gopinathan, The Pennsylvania State Univ. (United States)
Vasundara V. Varadan, The Pennsylvania State Univ. (United States)
Vijay K. Varadan, The Pennsylvania State Univ. (United States)

Published in SPIE Proceedings Vol. 3984:
Smart Structures and Materials 2000: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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