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Proceedings Paper

Spectral element formulation for analysis of high-frequency dynamic responses induced by surface-bonded piezoelectric transducers
Author(s): Hyun Woo Park; Ki Lyong Lim; Eun Jin Kim; Hoon Sohn
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Paper Abstract

This paper presents spectral element formulation which simulates high frequency dynamic responses generated by PZT transducers bonded on a thin plate. A two layer beam model under 2-D plane strain condition is developed to represent fundamental Lamb wave modes induced by a piezoelectric (PZT) layer rigidly bonded on a base plate. Mindlin- Herrmann and Timoshenko beam theories are employed to represent the first symmetric and anti-symmetric Lamb wave modes on a base plate, respectively. The Euler-Bernoulli beam theory and 1-D linear piezoelectricity are used to model the electro-mechanical behavior of a PZT layer. The equations of motions of a two layer beam model are derived through Hamilton's principle. The necessary boundary conditions associated with the electro-mechanical properties of a PZT layer are formulated in the context of dual functions of a PZT layer as an actuator and a sensor. General spectral shape functions of response field and the associated boundary conditions are obtained through equations of motion transformed into frequency domain. Detailed spectral element formulation for composing the dynamic stiffness matrix of a two layer beam model is presented as well. The validity of the proposed spectral element is demonstrated through a numerical example.

Paper Details

Date Published: 30 March 2009
PDF: 12 pages
Proc. SPIE 7292, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009, 72920N (30 March 2009); doi: 10.1117/12.816088
Show Author Affiliations
Hyun Woo Park, Dong-A Univ. (Korea, Republic of)
Ki Lyong Lim, Dong-A Univ. (Korea, Republic of)
Eun Jin Kim, Dong-A Univ. (Korea, Republic of)
Hoon Sohn, Korea Advanced Institute of Science and Technology (Korea, Republic of)

Published in SPIE Proceedings Vol. 7292:
Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009
Masayoshi Tomizuka, Editor(s)

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