Finite Element Analysis of Piezoelectric Transducers
Electromechanical transducers, first used in sonar systems, convert electrical energy into mechanical energy, thanks to the piezoelectric effect, then to acoustic energy, with the generation and the radiation of an acoustic wave in a fluid. To design new transducers and to understand their physical behaviour, several physical mechanisms have to be described (piezoelectric-elastic-fluid-structure coupling-acoustic radiation). To solve such problems, analytical and semi-analytical approaches often rely upon simplifying hypotheses, in terms of geometry of the transducers, behaviour of the piezoelectric part of the device, radiation condition or frequency range of interest. Among these approaches, the equivalent electrical scheme (Beranek 1954) is based on a classical lumped constant representation with masses and springs, and the transfer matrix (Neppiras 1973) uses plane wave approximations.With the help of analytical expressions, these approaches become operational tools, leading to the realization of numerous transducers.
KeywordsEpoxy Dition Nite Acoustics Sonar
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- ATILA (2002) Finite Element Code for Piezoelectric and Magnetostrictive Transducers Modeling, Version 5.2.1, User’s Manual, ISEN, Acoustics Laboratory, Lille, France.Google Scholar
- Beranek LL (1954) Acoustics. Mc Graw Hill, New York.Google Scholar
- Decarpigny JN (1984) Application de la m éthode des él éments finis à l’ étude de transducteurs pi ézo électriques. Doctoral thesis, ISEN, Lille, France.Google Scholar
- Dubus B (2002). Numerical modeling of sonic and ultrasonic devices. In: New acoustics. Selected topics. Ed. by C. Ranz-Guerra and J.A. Gallego-Juarez. pp. 37-73.Google Scholar
- Holland R (1967) Representation of dielectric, elastic and piezoelectric losses by complex coeffi-cients. IEEE Trans. Sonics Ultrason. SU-14, pp. 18-20.Google Scholar
- Neppiras EA (1973) The pre-stressed piezoelectric sandwich transducer. Ultrasonics International 1973 Conference Proceedings, pp. 295.Google Scholar
- Newnham RE (1997) Molecular mechanisms in smart materials. MRS Bull., pp. 20-34.Google Scholar
- Segerlind LJ (1976) Applied finite element analysis, Wiley, ISBN: 0-471-77440-5.Google Scholar
- Wilson OB (1988) Introduction to theory and design of sonar transducers. Peninsula Publishing, Los Altos, CA.Google Scholar
- Zhang J (2000) Miniaturized flextensional transducers and arrays. Ph D thesis, The Pennsylvania State University.Google Scholar