This paper is devoted to analysis of the electric loading conditions problem for piezoceramic resonators' forced vibrations. New simple experimental technique together with computing permits us to study many resonators' parameters: admittance, impedance, phase angles, power components, etc. for constant input voltage, constant sample voltage and constant sample current electric conditions based on experimental data for "as it is" regime. Such computer modeling makes it possible to decrease the experimental difficulties and to study in linear approximations the dependence of resonators' parameters on loading conditions. The fundamental modes of vibrations of a thin piezoelectric bar and high cylindrical shell are given as example. It is established that considerable admittance nonlinearity in constant voltage regime and its absence for constant current case are caused by different behavior of instantaneous power level.
- Uchino K., Hirose S. Loss mechanisms in piezoelectrics: how to measure different losses separately. IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 48, n.1, 307–321 (2001).
- Ural O., Tuncdemir 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, n.5R, 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 bodies. Nauk. Dumka, Kiev (1990) (in Russian).
- Shul’ga M. О., Karlash V. L. Resonant electromechanical 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(79), 82–94 (2014).
- Karlash V. L. Methods of determination of coupling factors and energy losses at piezoceramics resonator’s vibrations. Acoustic bulletin. 15, n.4, 24–38 (2012) (in Ukrainian).
- Karlash V. L. Modeling of energy-loss piezoceramic resonators by electric equivalent networks with passive elements. Mathematical modeling and computing. 1, n.2, 163–177 (2014).
- Martin G. E. Dielectric, elastic and piezoelectric losses in piezoelectric materials. Ultrasonic Symp. Proc. Milwaukee. 613–617 (1974).
- Mezheritsky A. V. Elastic, dielectric and piezoelectric losses in piezoceramics; how it works all together IEEE Trans UFFC. 51, n.6, 695–797 (2004).
- Bezverkhyi O., Zinchuk L., Karlash V. An influence of electric loading, constant voltage or current on piezoceramic resonators’ vibrations characteristics. Physico-mathematical modeling and information technologies. N.18, 9–20 (2013) (in Ukrainian).
- Shul’ga M. О., Karlash V. L. Measurement of piezoceramic elements admittance in Mason’s four-pole and its variants. Proc. IV Int. Sci-Tech. Conf. “Sensors, devices and systems – 2008”. Cherkasy–Gurzuf. 54–56 (2008) (in Ukrainian).
- Glozman I. A. Piezoceramics. Energhiya, Moscow (1972) (in Russian).
- Uchino K., Zhuang Yu., Ural S. O. Loss determination methodology for a piezoelectric ceramic: new phenomenological theory and experimental proposals. J. Adv. Dielectric. 1, n.1, 17–31 (2011).
- Liu G., Zhang S., Jiang W., Cao W. Losses in ferroelectric materials. Material Science and Engineering. R 89, 1–48 (2015).