A New Method for Evaluation of the Complex Material Coefficients of Piezoelectric Ceramics in the Radial Vibration Modes

Xiaotian Li, Rammohan Sriramdas, Yongke Yan, Mohan Sanghadasa, Shashank Priya

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The determination of complex elastic, piezoelectric, and dielectric coefficients of piezoelectric ceramics is important for precision engineering devices. Here, a novel method for determining the optimal material coefficients is presented. This method minimizes the average relative error in the values of conductance, susceptance, resistance, and reactance obtained from the 1-D model in the IEEE Standard (ANSI/IEEE Std 176-1987) and the experimental measurements of the first and second radial modes. Poisson's ratio is assumed to be a complex number in addition to the elastic, piezoelectric, and dielectric coefficients in the present method. The global minimum of the average relative error is found by searching the minimum among all local minima of the average relative error, which are obtained with the Levenberg-Marquardt modification of Newton's method from randomly chosen initial conditions. The optimal material coefficients of an APC 850 disk and an APC 855 disk are calculated with this method. The uncertainties in the optimal material coefficients are evaluated by calculating the minimum average relative error when the real or imaginary part of each coefficient is prescribed.

Original languageEnglish (US)
Pages (from-to)3446-3460
Number of pages15
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume68
Issue number11
DOIs
StatePublished - Nov 1 2021
Externally publishedYes

Bibliographical note

Funding Information:
The work of Xiaotian Li was supported by the National Science Foundation under Award IIP-1832179. The work of Rammohan Sriramdas was supported by the Office of Naval Research under Award N000141912461. The work of Yongke Yan was supported by the National Science Foundation under Award 1904811. The work of Shashank Priya was supported by USDA under Award NIFA 2019-67021-28991.

Publisher Copyright:
© 1986-2012 IEEE.

Keywords

  • Electromechanical constants
  • impedance
  • iterative methods
  • piezoelectrics
  • vibration

PubMed: MeSH publication types

  • Journal Article
  • Research Support, U.S. Gov't, Non-P.H.S.

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