Transfer Function of Piezoelectric Material

The study of piezoelectric material in the past was in T-Domain form; however, no one has studied piezoelectric material in the S-Domain form. This paper will present the piezoelectric material in the transfer function or S-Domain model. S-Domain is a well known mathematical model, used for analyzing the stability of the material and determining the stability limits. By using S-Domain in testing stability of piezoelectric material, it will provide a new tool for the scientific world to study this material in various forms.

Authors:

• C. Worakitjaroenphon
• A. Oonsivilai

Keywords:

• Piezoelectric
• Stability
• S-Domain
• Transfer function

References:

[1] Reinhard Lerch, "Simulation of Piezoelectric Devices by Two- and
Three Dimensional Finite Elements," IEEE Transactions on Ultrasonics,
Ferroelectrics and Frequency Control, vol. 37, pp. 233-247, May 1990.
[2] C.Kusakabe, Y.Tomikawa, T.Takano, H.Tarnura and H.Okamoto, "Thin
Vibrator Alarm Using a Cantilever Piezoelectric Actuator," Journal of L.
Appl. Phys. Vol. 35,pp. 5018-5022 1996.
[3] R. Lerch, H. Kaarmann, "Three-Dimensional Finite Element Analysis
of Piezoelectric Media," Proceeding of IEEE Ultrasonics Symposiuni
1987.
[4] M. Sunar, S.S. Rao, "The piezoelectric Control Design and Actuator
Placement," AIAA Juornal, Vol. 35, NO. 3, pp.534-539, March 1997
[5] Vincent PIEFORT, Andre- PREUMONT ,"Finite element modeling of
piezoelectric structures," Active Structures Laboratory, ULB-CP 165/42,
Av F.D. Roosevelt 50, B-1050 Brussels, Belgium.
[6] Tiersten, H.F., 1967, "Hamilton-s Principle For Linear Piezoelectric
Media," in "Proceedings of the IEEE", pages 1523-1524.
[7] Allik, H. and T. J. R. Hughes, 1970, "Finite Element Method for
Piezoelectric Vibration," International Journal for Numerical Mathods in
Engineering, 2:151-157.
[8] Gene H. Haertling, "Ferroelectric Ceramics: History and Technology,"
Department of Ceramic and Materials Engineering, Clemson University,
Clemson, South Carolina 29634-0907
[9] J Ajitsaria, S Y Choe, D Shen and D J Kim, "Modeling and analysis of
bimorph piezoelectric cantilever beam for voltage generation," Auburn
University, Auburn, Albama, 36849, U.S.A.
[10] Chang-Hwan Lee, Hyun Kyo Jung, "Two-Dimensional Finite Element
Analysis of Piezoelectric Cantilever for Silent Alarm System", IEEE
Transl. Electrical machines and systems., Vol. 2, pp. 1159-1162, 2001.