Equivalent homogeneous model of D31-mode longitudinal piezoelectric transducers

Yangkun Zhang, Tien Fu Lu, Wei Gao

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This article focuses on modelling of D31-mode longitudinal piezoelectric transducers. A simple equivalent one-dimensional homogeneous model of D31-mode longitudinal piezoelectric transducers is proposed in this article. Homogeneous properties of the model are derived by a simple analytical mixing method based on the operation principle of D31-mode longitudinal piezoelectric transducers. Compared with other models in the literature, the proposed homogeneous model can consider passive layers in D31-mode longitudinal piezoelectric transducers for more accurate predictions in either static or dynamic behaviour. The proposed model is validated by a three-dimensional finite element model. Besides, based on the homogeneous model and borrowing the network theory, an exact equivalent circuit is formulated. A more straightforward form of the equivalent circuit can further facilitate analysis and modelling of D31-mode longitudinal piezoelectric transducers. Also, the proposed homogeneous model is wrapped into a transfer matrix form. The formulated transfer matrix of D31-mode longitudinal piezoelectric transducers can be used with the transfer matrix method to facilitate the calculations, when D31-mode longitudinal piezoelectric transducers are connected with numerous mediums in the operation direction. The effectiveness of the equivalent circuit and the transfer matrix is also verified.

Original languageEnglish
Pages (from-to)2651-2658
Number of pages8
JournalJournal of Intelligent Material Systems and Structures
Volume28
Issue number19
DOIs
Publication statusPublished - 2017 Nov 1

Keywords

  • D31-mode
  • equivalent circuit
  • homogeneous model
  • longitudinal
  • piezoelectricity
  • transfer matrix

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanical Engineering

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