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Journal of Vibration and Control
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An Integral Equation Approach for Shape Optimization of Plate Piezoelectric Patch

J. Zhang

Department of Mathematics, University of British Columbia, Vancouver, BC, Canada

J. C. Bruch, Jr

Department of Mechanical and Environmental Engineering and Department of Mathematics, University of California, Santa Barbara, CA 93106, USA, jcb{at}engineering.ucsb.edu

J. M. Sloss

Department of Mathematics, University of California, Santa Barbara, CA 93106, USA

In this paper, we consider a vibrating system with piezoelectric patches whose minimum vibration frequency is to be maximized subject to some constraint on the patch geometry. A numerical scheme is constructed based on the integral equation approach for the computation of the corresponding eigenvalue problem and the boundary parametrization optimization technique. Various numerical results are provided for the case of a Plexiglas plate with PVDF sensor and actuator patches.

Key Words: Shape optimization • integral equation • piezoelectric control • plates

Journal of Vibration and Control, Vol. 11, No. 2, 161-186 (2005)
DOI: 10.1177/1077546305047026
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[Abstract] [PDF]