Advertisement

Acta Mechanica Solida Sinica

, Volume 20, Issue 2, pp 163–170 | Cite as

An analysis of a cylindrical thin shell as a piezoelectric transformer

  • Farong Gao
  • Hongping Hu
  • Yuantai Hu
  • Caihua Xiong
Article

Abstract

The vibration of a circular cylindrical piezoelectric ceramic shell with tangential poling is investigated for transformer application and an analytical solution is obtained. Numerical calculations of the output voltage, input admittance and the efficiency of the transformer are presented. The results indicate that the structure analyzed can be used as a piezoelectric transformer with a certain harmonic driving frequency and matching load impedance.

Key words

piezoelectricity transformer shell torsion 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Rosen, C. A., Ceramic transformers and filters//Proc. Electronic Comp. Symp., 1956: 205–211.Google Scholar
  2. [2]
    Yang, J. S., Piezoelectric transformer structural modeling — a review. IEEE Trans. on Ultrasoncis, Ferroelectrics, and Frequency Control, 2007, 54: 1154–1170.CrossRefGoogle Scholar
  3. [3]
    Yang, J. S. and Zhang, W., A thickness-shear high voltage piezoelectric transformer. International Journal of Applied Electromagnetics and Mechanics, 1999, 10: 105–122.Google Scholar
  4. [4]
    Nakamura, K. and Kumasaka, K., Lame-mode piezoelectric resonators and transformers using LiNbO3 crystals//Proc. IEEE Int Ultrasonics Symp., 1995: 999–1002.Google Scholar
  5. [5]
    Ueda, M. and Wakatsuki, N., Investigation of internal loss and power transmission characteristic of width shear piezoelectric transformer. Japanese Journal of Applied Physics, 1994, 33: 2953–2956.CrossRefGoogle Scholar
  6. [6]
    Futakuchi, T., Sugimori, H., Horii, K., Yanagawa, A. and Adachi, M., Preparation of piezoelectric ceramic transformer operating in bending vibration mode. Japanese Journal of Applied Physics, 1999, 38: 3596–3599.CrossRefGoogle Scholar
  7. [7]
    Pajewski, W., Kielczynski, P. and Szalewski, M., Resonant piezoelectric ring transformer//Proc. IEEE Int. Ultrasonics Symp., 1998: 977–980.Google Scholar
  8. [8]
    Hu, J. H., Fuda, Y., Katsuno, M. and Yoshida, T., A study on the rectangular-bar-shaped multilayer piezoelectric transformer using length extensional vibration mode. Japanese Journal of Applied Physics, 1999, 38: 3208–3212.CrossRefGoogle Scholar
  9. [9]
    Toikawa, Y., Adachi, K., Aoyagi, M., Sagae, T. and Takamo, T., Some constructions and characteristics of rod-type piezoelectric ultrasonic motors using longitudinal and torsional vibrations. IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 1992, 39: 600–608.CrossRefGoogle Scholar
  10. [10]
    Lin, S. Y., Torsional vibration of coaxially segmented tangentially polarized piezoelectric ceramic tubes. Journal of the Acoustical Society of America, 1996, 99: 3476–3480.CrossRefGoogle Scholar
  11. [11]
    Lin, S. Y., Sandwiched piezoelectric ultrasonic transducers of longitudinal-torsional compound vibration modes. IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 1997, 44: 1189–1197.CrossRefGoogle Scholar
  12. [12]
    Yang, J. S., Fang, H. Y. and Jiang, Q., A vibrating piezoelectric ceramic shell as a rotation sensor. Smart Materials and Structures, 2000, 9: 445–451.CrossRefGoogle Scholar
  13. [13]
    Hu, Y. T., Chen, C. Y., Yang, X. H., Du, Q. G. and Cui, Z. J., Electric energy transmission between two piezoelectric transducers, Acta Mechanica Solida Sinica, 2003, 24: 304–312 (in Chinese).Google Scholar
  14. [14]
    de Vries, J. W. C., Jedeloo, P. and Porath, R., Co-fired piezoelectric multilayer transformers//Proc. IEEE Int. Symp. on Appl. of Ferroelectrics, 1996: 173–176.Google Scholar
  15. [15]
    Du, J., Hu, J. and Tseng, K. J., High-power, multioutput piezoelectric transformers operating at the thickness-shear vibration mode, IEEE. Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 2004, 51: 502–509.CrossRefGoogle Scholar
  16. [16]
    Gausmann, R. and Seemann, W., A model for a piezoelectric transformer. Zeitschrift fur Angewandte Mathematik und Mechanik, 2001, 81(Suppl.): S189–S190.MATHGoogle Scholar
  17. [17]
    Yang, J. S. and Zhang, X., Extensional vibration of a nonuniform piezoceramic rod and high voltage generation. International Journal of Applied Electromagnetics and Mechanics, 2002, 16: 29–42.Google Scholar
  18. [18]
    Karlash, V. L., The forced electroelastic vibrations of a planar piezoelectric transformer of longitudinal-transverse type. International Applied Mechanics, 2000, 36: 923–930.CrossRefGoogle Scholar
  19. [19]
    Yang, J. S. and Zhang, X., Analysis of a thickness-shear piezoelectric transformer. International Journal of Applied Electromagnetics and Mechanics, 2005, 21: 131–141.Google Scholar
  20. [20]
    Hsu, Y.-H., Lee, C.-K. and Hsiao, W.-H., Electrical and mechanical fully coupled theory and experimental verification of Rosen-type piezoelectric transformers. IEEE. Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 2005, 52: 1829–1839.CrossRefGoogle Scholar
  21. [21]
    Yang, X. M., Hu, Y. T. and Yang, J. S., Electric field gradient effects in anti-plane problems of a circular cylindrical hole in piezoelectric materials of 6 mm symmetry. Acta Mechanica Solida Sinica, 2005, 18: 28–36.Google Scholar
  22. [22]
    Yang, X.H., Chen, C.Y., Hu, Y.T. and Yang, J.S., Combined damage fracture criteria for piezoelectric ceramics. Acta Mechanica Solida Sinica, 2005, 18: 21–27.MATHGoogle Scholar
  23. [23]
    Hu, Y. T., Zhang, X. S., Yang, J. S. and Jiang, Q., Transmitting electric energy through a metal wall by acoustic waves using piezoelectric transducers. IEEE. Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 2003, 50: 773–781.CrossRefGoogle Scholar
  24. [24]
    Yang J. S., An Introduction to the Theory of Piezoelectricity. New York: Springer, 2005.MATHGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  • Farong Gao
    • 1
    • 2
  • Hongping Hu
    • 1
    • 2
  • Yuantai Hu
    • 1
  • Caihua Xiong
    • 2
  1. 1.Department of MechanicsHuazhong University of Science and TechnologyWuhanChina
  2. 2.School of Mechanical Science and EngineeringHuazhong University of Science and TechnologyWuhanChina

Personalised recommendations