Methods and Applications of Analysis

Level Set Method for Shape Optimization of Plate Piezoelectric Patches

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.

Article information

Source
Methods Appl. Anal., Volume 10, Number 2 (2003), 329-346.

Dates
First available in Project Euclid: 17 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.maa/1119018760

Mathematical Reviews number (MathSciNet)
MR2074755

Zentralblatt MATH identifier
1051.74034

Citation

Zhang, Jianying. Level Set Method for Shape Optimization of Plate Piezoelectric Patches. Methods Appl. Anal. 10 (2003), no. 2, 329--346. https://projecteuclid.org/euclid.maa/1119018760


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