References
- Ikeda,T., 1966, Fundamentals of Piezoelectricity, Oxford University Press, Oxford
- Busch-Vishniac, I. J., 1999, Electromechanical Sensors and Actuators, Springer, New-York, Chap. 5.
- Kwon, O. S., Kim, J. O., 2001, 'Vibration Characteristics of Langevin-Type Piezoelectric Torsional Transducers,' Trans. of KSME (A), Vol. 25, No. 8, pp. 1197-1205.
- Kim, J.O., Kwon, O.S., 2003, 'Vibration Characteristics of Piezoelectric Torsional Transducers,' Journal of Sound and Vibration, vol. 264, No. 2, pp. 453-473. https://doi.org/10.1016/S0022-460X(02)01234-8
- Chun, H.Y., Kim, J. O., 2002, 'A Study on the Measurement of the Fluid Viscosity by Using the Torsional Vibration of a Circular Rod,' Trans. of KSME(A), Vol. 26, No. 6, pp. 1016-1025.
- Kim, J. O., Chun, H. Y., 2003, 'Interaction Between the Torsional Vibration of a Circular Rod and an Adjacent Viscous Fluid,' Trans. of ASME Journal of Vibration and Acousticsm Vol. 125, No. 1, pp. 39-45 https://doi.org/10.1115/1.1525004
- Kim, J.O., Hwang, K.K., Bau, H.H., 2003, 'A Study for the Measurement of a Fluid Density in a pipe Using Elastic Waves,' Journal of the Korean Society for Nondestructive Testing, Vol. 23, No. 6, pp. 583-593.
- Lee, J. G, Kim, J. O., 2003, 'A Study on Ultrasonic Sound Fields for Cleaning in a Pipe,' Journal of the Acoustical Society of Korea, in review.
- Ebenezer, D. D., Abraham, P., 1977, 'Eigenfunction Analysis of Radially Polarized Piezoelectric Cylindrical Shells of Finite Length,' Journal of the Acoustic Society of America, vol. 102, No. 3, pp.1549-1558. https://doi.org/10.1121/1.420068
- Kim, J.O., Jeong, H. G., 2001, 'Radial Vibration of Cylindrical Piezoelectric Transducers,' Trans. of the Korean Society for Noise and Vibration Engineering, Vol. 11, No. 7, pp. 247-252.
- Hwang, K. K. Kim, J. O., 2003, 'Characteristics of the Radial Vibration of Cylindrical Piezoelectric Transducers,' Trans. of the Korean Society for Noise and Vibration Engineering, Vol. 13, No. 3, pp. 155-163. https://doi.org/10.5050/KSNVN.2003.13.3.155
- Miu, D. K., 1993, Mechatronics: Electromechanics and Contromechanics, Springer-Verlag, New York, Chap. 5.
- Achenbach, J. D., 1975, Wave Propagation in Elastic Solids, Elsevier Science Publishers, Amsterdam, Chap. 2.
- Lazutkin, V.N. and Tsyganov, Y. V., 1972, Axisymmetric Modes and Electrical Impedance of Radially Polarized Piezoelectric Ceramic Rings,' Soviet Physics - Acoustics, Vol. 17, pp. 330-334.
- Wolfram. S., 1999, The Mathematica Book, Wolfram Media, Champaign.
- 岡騎淸, 1983, セラミック誘電體工學(第3版), 學獻社, 第8章.
- Berlincourt, D.A., Cmolik, C. Jaffe, H., 1960, 'Piezoelectric Properties of Polycrystalline Lead Titanate Zirconiate Compositions,' Proceeding of the IRE, pp. 220-229.
- Tae-Sung Inc., 1999, Introduction to Finite Element Analysis Using ANSYS, 3rd Ed., Tae-Sung, Seoul.