Modeling and experimental verification of the thin multi-electrode piezoceramic bars' forced vibrations

Bezverkhy O., Zinchuk L., Karlash V.
PDF icon 2016_3_1_001_011.pdf434.25 KB
This paper is devoted to analysis of the multi-electrode piezoceramic bars' forced vibrations. Analytical model is built for a thin and narrow piezoelectric ceramic bar with three pairs of divided electrodes on the upper and lower main surfaces. The formulae for input admittance, characteristic (resonant and anti-resonant) frequencies as well as for transform ratio are obtained. The fundamental modes of vibrations of thin piezoelectric bar and their odd and even overtones are studied. A new experimental simple technique with additional commutation permits to study many resonators' parameters: admittance, impedance, phase angles, power components etc. Experiments have been carried out with TsTBS-3 bar-prism 70.3x8.1x6.8/7.1 mm size. It is established that a high electromechanical coupling may be obtained for bar's longitudinal overtones by means of the electrode coating dividing and anti-phase electrical loading. In partly shorted electrodes case, not only odd but even longitudinal modes can be induced, which are absent for full electrodes case.
  1. 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).
  2. 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).
  3. Uchino K., Zheng J. H., Chen Y. H. et al. Loss mechanisms and high power piezoelectric. J. Mat. Sci. 41, 217–228 (2006).
  4. Jaffe B., Cook W. R., Jaffe H. Piezoelectric ceramics. Academic Press, London (1971).
  5. Shul’ga N. A., Bolkisev A. M. The vibrations of piezoelectric bodies. Nauk. Dumka, Kiev (1990) (in Russian).
  6. Shul’ga M. О., Karlash V. L. Resonant electromechanical vibrations of piezoelectric plates. Nauk. Dumka, Kiev (2008) (in Ukrainian).
  7. Karlash V. L. Resonant electromechanical vibrations of piezoelectric plates. Int. Appl. Mech. 41, n. 7, 709–747 (2005).
  8. Karlash V. L. Energy losses in piezoceramic resonators and its influence on vibrations’ characteristics. Electronics and communication. 19, n. 2(79), 82–94 (2014).
  9. 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).
  10. 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).
  11. Erhart J. Parameters and design optimization of the ring piezoelectric ceramic transformer. Adv. Dielect. 5, n. 3, 1550022 (2015).
  12. Erhart J., Tutu S. Effective electromechanical coupling for the partially electroded ceramic resonators of different geometries. Ann. “DUNAREA DE JOS” Univ. of Galati Fascicle IX. Metallurgy and Material Science. N. 2, 7–16 (2015).
  13. Rogacheva N. N. The dependence of the electromechanical coupling coefficient of piezoelectric elements on the position and size of the electrodes. Appl. Math. Mech. 65, n. 2, 317–326 (2001).
  14. Andrushchenko V. O., Boryseyko O. V., Nemchenko D. S., Ulitko I. A. Experimental investigation of the energy transducing affectivity at piezoceramic bar with divided electrodes and control electric exiting resonant vibrations. Acoustic symposium “CONSONANCE-2009”, Kyiv, September 29 – October 1, 2009. Proceedings. 38–43 (2009) (in Ukrainian).
  15. Van der Veen B. The equivalent network of a piezoelectric crystal with divided electrodes. Phillips. Res. Rep. 11, 66–79 (1956).
  16. 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).
  17. Karlash V. L. Forced electromechanical vibrations of rectangular piezoceramic bars with sectionalized electrodes. Int. Appl. Mech. 49, n. 3, 360–368 (2013).
  18. Mezheritsky A. V. Elastic, dielectric and piezoelectric losses in piezoceramics; how it works all together. IEEE Trans UFFC. 51, n. 6, 695–797 (2004).
Math. Model. Comput. Vol.3, No.1, pp.1-11 (2016)