Methods and Applications of Analysis

Volume 10 (2003)

Number 2

Level Set Method for Shape Optimization of Plate Piezoelectric Patches

Pages: 329 – 346

DOI: http://dx.doi.org/10.4310/MAA.2003.v10.n2.a10

Author

Jianying Zhang

Abstract

We consider a vibrating system with piezoelectric patches whose minimum vibration frequency is to be minimized subject to some constraint on the patch geometry. A numerical scheme is constructed using the level set method devised in [12] and the projected gradient method devised in [14] to optimize the patch geometry. An integral equation approach introduced in [4, 17, 20, 21] is also presented for the computation of the corresponding eigenvalue problem.

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