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Article

Analytical Solution for Shear Horizontal Wave Propagation in Piezoelectric Coupled Media by Interdigital Transducer

[+] Author and Article Information
Q. Wang

Mechanical, Materials, and Aerospace Engineering Department,  University of Central Florida, Orlando, FL 32816Member ASME

S. T. Quek

Department of Civil Engineering,  National University of Singapore, Singapore 119260

V. K. Varadan

Department of Engineering Science and Mechanics,  The Pennsylvania State University, University Park, PA 16802Fellow ASME

J. Appl. Mech 72(3), 341-350 (Sep 01, 2004) (10 pages) doi:10.1115/1.1876412 History: Received February 19, 2003; Revised September 01, 2004

An analytical solution for the shear horizontal wave propagation excited by interdigital transducer in a piezoelectric coupled semi-infinite medium is developed. This solution is an extension of earlier work on wave propagation in a piezoelectric coupled plate with finitely long interdigital transducer by fully taking account of piezoelectric effects in analysis. In the current analysis, the mathematical model for a semi-infinite metal substrate bonded by a layer of interdigital transducer with infinite length is first derived. The theoretical solutions are obtained in terms of elliptic integration of the first kind and of the standard integral representation for Legendre polynomial. The essential hypothesis for the derivation of the analysis is investigated. Based on the solution for infinitely long interdigital transducer, an analytical solution for the wave propagation in this semi-infinite piezoelectric medium excited by a finitely long interdigital transducer is obtained through Fourier transform. This theoretical research can be applied to health monitoring of structures by interdigital transducer. It could also be used as a framework for the design of interdigital transducer in wave excitation of smart structures.

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Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Piezoelectric coupled medium with surface bonded interdigital transducer

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Figure 2

Dispersive curves for PZT 4 piezoelectric coupled plate

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Figure 3

Relationship between frequency and wave number

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Figure 4

The converge of the coefficient C

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Figure 5

Convergence of the amplitude

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Figure 6

The amplitude of the excited motion at different heights of the piezoelectric layer

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Figure 7

The variation of the amplitude at different wavelength of IDT

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