Vibration Characteristics of Langevin-Type Piezoelectric Torsional Transducers

랑주방형 압전 비틀림 변환기의 진동특성

Kim, Jin-O;Gwon, O-Su

  • Published : 2001.08.01


The vibrational characteristics of Langevin-type piezoelectric torsional transducers, which consist of a couple of piezoelectric discs and a couple of elastic blocks, have been studied theoretically and experimentally in this paper. The differential equations of piezoelectric torsional motion have been derived in terms of the circumferential displacement and the electric potential. Solutions of the boundary-value problem have yielded the natural frequencies and mode shapes of the transducers. The theoretical solutions have been verified by comparing the numerical results with experimental ones.


Piezoelectrics;Torsional Vibration;Langevin-Type Transducer;Natural Frequency;Mode Shape


  1. Berlincourt, D. A., Cmolik, C., and Jaffe, H., 1960, 'Piezoelectric Properties of Polycrystalline Lead Titanate Zirconate Compositions,' Proceedings of the IRE, pp.2 20-229
  2. Gere, J. M., Timoshenko, S. P., 1990, Mechanics of Materials 3rd ed., PWS Publishing Co., pp. 777-782
  3. Wolfram, S., 1988, Mathematica: A System for Doing Mathematics by Computer, Addison-Wesley Publishing Co., New York
  4. Beer, F. P., Johnston, E. R., 1992, Mechanics of Materials 2nd ed. in SI units., McGraw-Hill Book Co., Appendix B.
  5. 김진오, 1999, '초음파 점도계용 고체 매질의 탄성파와 인접 점성유체 간의 상호작용,' 한국음향학회지, 제18권, 제5호, pp. 28-34
  6. 권오수, 김진오, 2000, '압전 비틀림 변환기의 진동특성 해석,' 한국소음진동학회지, 제10권 제6호, pp. 955-962
  7. Miu, D. K., 1993, Mechatronics: Electromechanics and Contromechanics, Springer- Verlag, NewYork, Ch. 6.
  8. 岡崎淸, 1983, セラミック誘電本工學, 第3版, 學獻社., 第8章
  9. 김진오, 전한용, 2000, '봉의 비틀림 고유진동에 대한 인접 점성유체의 영향,' 한국소음진동공학회지, 제10권, 제1호, pp. 168-173
  10. 根本佐久良雄, 森榮司, 1972, 'ボルト締め電氣ひずみねじり振動子,' 日本音響學會誌, 28卷, 3? pp. 117-126
  11. Mishiro, S., 1987, 'Torsion Vibrator,' United States Patent 4,652,786
  12. Mishiro, S., 1988, 'Torsion Vibrator,' United States Patent 4,787,265
  13. Ikeda, T., 1996, Fundamentals of Piezo-electricity, Oxford University Press, Oxford
  14. Uchino, K., 1997, Piezoelectric Actuators and Ultrasonic Motors, Kluwer Academic Publishers, Boston
  15. Sashida, T., Kenjo, T., 1993, Intro-duction to Ultrasonic Motors, Oxford University Press, Oxford