Elastic guided wave propagation in a periodic array of multi-layered piezoelectric plates with finite cross-sections

Daniel Humbe Cortes Correales, Subhendu K. Datta, Osama M. Mukdadi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

In this study, we present a model study of guided wave dispersion and resonance behavior of an array of piezoelectric plates with arbitrary cross-sections. The objective of this work is to analyze the influence of the geometry of an element of a 1D-array ultrasound transducer on generating multi-resonance frequency so as to increase the frequency bandwidth of the transducers. A semi-analytical finite-element (SAFE) method is used to model guided wave propagation in multi-layered 1D-array ultrasound transducers. Each element of the array is composed of LiNbO3 piezoelectric material with rectangular or subdiced cross-section. Four-node bilinear finite-elements have been used to discretize the cross-section of the transducer. Dispersion curves showing the dependence of phase and group velocities on the frequency, and mode shapes of propagating modes were obtained for different geometry consurations. A parametric analysis was carried out to determine the effect of the aspect ratio, subdicing, inversion layer and matching layers on the vibrational behavior of 1D-array ultrasound transducers. It was found that the geometry with subdiced cross-section causes more vibration modes compared with the rectangular section. Modal analysis showed that the additional modes correspond to lateral modes of the piezoelectric subdiced section. In addition, some modes have strong normal displacements, which may influence the bandwidth and the pressure field in front of the transducer. In addition, the dispersion curves reveal strong coupling between waveguide modes due to the anisotropy of the piezoelectric crystal. The effect of the matching layers was to cluster extensional and flexural modes within a certain frequency range. Finally, inversion layer is found to have a minor effect on the dispersion curves. This analysis may provide a means to analyze and understand the dynamic response of 1D-array ultrasound transducers.

Original languageEnglish (US)
Pages (from-to)347-356
Number of pages10
JournalUltrasonics
Volume50
Issue number3
DOIs
StatePublished - Mar 1 2010

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Transducers
wave propagation
transducers
cross sections
curves
geometry
inversions
bandwidth
piezoelectric crystals
wave dispersion
modal response
Anisotropy
Vibration
dynamic response
pressure distribution
phase velocity
group velocity
aspect ratio
vibration mode
finite element method

All Science Journal Classification (ASJC) codes

  • Medicine(all)
  • Acoustics and Ultrasonics

Cite this

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Elastic guided wave propagation in a periodic array of multi-layered piezoelectric plates with finite cross-sections. / Cortes Correales, Daniel Humbe; Datta, Subhendu K.; Mukdadi, Osama M.

In: Ultrasonics, Vol. 50, No. 3, 01.03.2010, p. 347-356.

Research output: Contribution to journalArticle

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