Topology optimized design of functionally graded piezoelectric resonators with specified resonance frequencies

Wilfredo Montealegre Rubio, Emílio Carlos Nelli Silva, Glaucio H. Paulino

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work explores the design of piezoelectric resonators based on functionally graded material (FGM) concept. The goal is to design single-frequency Functionally Graded Piezoelectric Resonators (FGPR) subjected to the following requirements: (i) an assurance of the specified resonance frequency, and (ii) for most acoustic wave generation applications, the FGPR is required to oscillate in the piston mode. Several approaches can be used to achieve these goals; however, a novel approach is to design the piezoelectric transducer by using Topology Optimization Method. Accordingly, in this work, the optimal material gradation of an FGPR is found, which maximizes a specified and single resonance frequency subjected to a volume constraint. To track the desirable piston mode, a mode-tracking method utilizing the modal assurance criterion (MAC) is applied. The continuous change of piezoelectric, dielectric, and elastic properties is achieved by using the graded finite element (GFE) concept, where these material properties are interpolated inside the finite element using interpolation functions. The optimization algorithm is constructed based on sequential linear programming (SLP), and the concept of the Continuum Approximation of Material Distribution (CAMD) is considered. The software is implemented in MATLAB language. In addition, to illustrate the method, a two-dimensional FGPR is designed with plane strain assumption. Performance of designed FGPR is compared with non-FGPR performance.

Original languageEnglish (US)
Title of host publicationMultiscale, Multifunctional and Functionally Graded Materials
PublisherTrans Tech Publications Ltd
Pages305-310
Number of pages6
ISBN (Print)0878493077, 9780878493074
DOIs
StatePublished - Jan 1 2010
Event10th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials, MM and FGMs - Sendai, Japan
Duration: Sep 22 2008Sep 25 2008

Publication series

NameMaterials Science Forum
Volume631-632
ISSN (Print)0255-5476
ISSN (Electronic)1662-9752

Other

Other10th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials, MM and FGMs
CountryJapan
CitySendai
Period9/22/089/25/08

Keywords

  • Functionally graded materials
  • Graded finite element
  • Mode-tracking
  • Piezoelectric resonators
  • Topology optimization method

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Rubio, W. M., Silva, E. C. N., & Paulino, G. H. (2010). Topology optimized design of functionally graded piezoelectric resonators with specified resonance frequencies. In Multiscale, Multifunctional and Functionally Graded Materials (pp. 305-310). (Materials Science Forum; Vol. 631-632). Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/MSF.631-632.305