# Modeling of the energy-loss piezoceramic resonators by electric equivalent networks with passive elements

Attachment | Size |
---|---|

2014_1_2_163_177.pdf | 1.1 MB |

Abstract:

This paper is devoted to analysis of the modern achievements in energy loss problem for piezoceramic resonators. New experimental technique together with computing permits us to plot many resonators' parameters: admittance, impedance, phase angles, and power components etc. The author's opinion why mechanical quality under resonance is different from that under anti-resonance is given. The reason lies in clamped capacity and electromechanical coupling factor's value. The better electromechanical coupling, the stronger capacity clamping, and the higher its influence on anti-resonant frequency and quality. It is also established that considerable nonlinearity of admittance in constant voltage regime is caused by instantaneous power level.

References:

- Cady W. G. Theory of longitudinal vibrations of viscous rods. Phys. Rev.
**19**, n.1, 1–6 (1922). - Van Dyke S. The electric network equivalent of piezoelectric resonators. Phys. Rev.
**25**, 895(A) (1925). - Quimby S. L. On the experimental determination of the viscosity of vibrating solids. Phys. Rev.
**38**, 568–582 (1925). - Dye D. E. The piezoelectric quartz resonator and its equivalent circuit. Proc. Phys. Soc. (London).
**38**, 399–453 (1926). - Mason W. P. Location of hysteresis phenomena in Rochelle salt. Phys. Rev.
**58**, 744–756 (1940). - Land C. E., Smith G. W., Westgate C. R. The dependence of small-signal parameters of the ferroelectric ceramic resonators upon state of polarization. IEEE Trans. Sonics and Ultrasonics. SU-11, 8–19 (1964).
- Martin G. E. Dielectric, elastic and piezoelectric losses in piezoelectric materials. Ultrasonic Symp. Proc. Milwaukee. 613–617 (1974).
- Holland R. Representation of dielectric, elastic and piezoelectric losses by complex coeﬃcients. IEEE Trans. SU. SU-14, 18–20 (1967).
- Uchino K., Hirose S. Loss mechanisms in piezoelectrics: how to measure different losses separately. IEEE Trans UFFC.
**48**, n.1, 307–321 (2001). - Ural O., Tunodemir S., Zhuang Yu., Uchino K. Development of a high power piezoelectric Characterization system and its application for resonance/antiresonance mode characterization. Jpn. J. Appl. Phys.
**48**, 056509 (2009). - Uchino K., Zheng J. H., Chen Y. H. et al. Loss mechanisms and high power piezoelectric. J. Mat. Sci.
**41**, 217–228 (2006). - Jaffe B, Cook W. R., Jaffe H. Piezoelectric ceramics. Academic Press: London, 1971.
- Shul’ga N. A., Bolkisev A. M. The Vibrations of Piezoelectric Bodie, Nauk. Dumka, Kiev. 1990 (in Russian).
- Shul’ga M. О., Karlash V. L. Resonant electromechanic vibrations of piezoelectric plates. Nauk. Dumka, Kiev. 2008 (in Ukrainian).
- Karlash V. L. Resonant electromechanical vibrations of piezoelectric plates. Int. Appl. Mech.
**41**, n.7, 709–747 (2005). - Karlash V. L. Energy losses in piezoceramic resonators and its inﬂuence on vibrations’ characteristics. Electronics and communication.
**19**, n.2(а), 82–94 (2013). - Karlash V. L. Methods of determine coupling factors and energy losses at piezoceramics resonator’s vibrations. Acoustic bulletin.
**15**, n.4, 24–38 (2012). - Mezheritsky A. V. Electrical measurements of a high-frequency, high-capacitance piezoceramic resonator with resistive electrodes. IEEE Trans UFFC.
**52**, n.8, 1229–1238 (2005). - Karlash V. L. Inﬂuence of energy dissipation on amplitude-frequency characteristics of thin piezoceramic disk full conductivity. Eelectricity. N.4, 59–61 (1984) (in Russian).
- Karlash V. L. Energy dissipation at vibrations of thin piezoceramic circular plates. Prikl. mechanika.
**20**, n.5, 77–82 (1984) (in Russian). - Mezheritsky A. V. Quality factor of piezoceramics. Ferroelectrics.
**266**, 277–304 (2002). - Mezheritsky A. V. Efficiency of excitation of piezoceramic transducer at antiresonance frequency. IEEE Trans UFFC.
**49**, n.4, 484–494 (2002). - Mezheritsky A. V. Elastic, dielectric and piezoelectric losses in piezoceramics; how it works all together. IEEE Trans UFFC.
**51**, n.6, 695–797 (2004). - Shul’ga M. О., Karlash V. L. Measurement of piezoceramic elements admittance in Meson’s four-pole and its variants. Proc. IV Int. Sci,-Tech. Conf. “Sensors, devices and systems – 2008”. Cherkasy–Gurzuf. 54–56 (2008) (in Ukrainian).
- Karlash V. L. Planar electroelastic vibrations of piezoceramic rectangular plate and half-disk. Int. Appl. Mech.
**43**, n.5, 547–553 (2007). - Glozman I. A. Piezoceramics. Energhiya, Moscow, 1072. 288 p. (in Russian).
- Katz H. W. (ed) Solid State Magnetic and Piezoelectric Devices. Willey, New York. 1959.
- US Patent 439 992 1954 / Rosen C. A. 29.06.1954.
- Karlash V. L. Electroelastic vibrations and transformation ratio of a planar piezoceramic transformer. J. Sound Vib.
**277**, 353–367 (2004). - Karlash V. Longitudinal and lateral vibrations of a planar piezoceramic transformer. Jpn. J. Appl. Phys.
**44**, n.4A, 1852–1856 (2005). - Van der Veen B. The equivalent network of a piezoelectric crystal with divided electrodes. Phillips. Res. Rep.
**11**, 66–79 (1956). - Munk E. C. The equivalent electrical circuit for radial modes of a piezoelectric ceramic disk with concentric electrodes. Phillips Res. Rep.
**20**, 170–189 (1965). - Kalashnikov A. M., Stepuk Ya. V. Bases of radio-engineering and radiolocation, vibrating systems. Voyeniz, Moscow. 1962. 368 p. (in Russian).
- Zherebtsov I. P. Radio-engineering. Svyaz’, Sov. Radio, Moscow. 1965. 656 p. (in Russian).

Bibliography:

Math. Model. Comput. Vol.1, No.2, pp.163-177 (2014)