Skip to main content
Log in

Vibration Modes of Radially Polarized Thin Cylindrical Piezoceramic Rings

  • Published:
International Applied Mechanics Aims and scope

Radially polarized cylindrical piezoceramic rings are studied experimentally. It is shown that the inphase resonance is characterized by very high amplitudes and electromechanical coupling coefficient. The distribution of internal stresses along the height differs from cosinusoidal in the middle part of the ring. The edge resonance is characterized by high stresses near the ends and is very weak in the middle part. The amplitude–frequency and admittance–frequency responses are plotted and discussed

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. L. Karlash, “Mechanical energy losses during vibrations of a radially polarized hollow piezoceramic cylinder,” in: Abstracts 14th Conf. on Energy Dissipation during the Vibrations of Mechanical Systems [in Russian], Naukova Dumka, Kyiv (1989), pp. 54–55.

  2. N. A. Shul’ga and A. M. Bolkisev, Vibrations of Piezoelectric Bodies [in Russian], Naukova Dumka, Kyiv (1990).

  3. M. O. Shul’ga and V. L. Karlash, Resonant Electromechanical Vibrations of Piezoelectric Plates [in Ukrainian], Naukova Dumka, Kyiv (2008).

  4. N. A. Shul’ga and V. L. Karlash, “Measuring the amplitudes and phases of vibrations of piezoceramic structural elements,” Int. Appl. Mech., 51, No. 3, 350–359 (2015).

    Article  ADS  Google Scholar 

  5. D. S. Drumheller and A. Kalnins, “Dynamic shell theory for ferroelectrics ceramics,” J. Acoust. Soc. Am., 47, 1343–1353 (1970).

    Article  ADS  Google Scholar 

  6. R. Holland, “Representation of dielectric, elastic and piezoelectric losses by complex coefficients,” IEEE Trans. Sonics and Ultrasonics, SU-14, 18–20 (1967).

  7. “IRE standards on piezoelectric crystals: Measurements of piezoelectric ceramics, 1961,” Proc. IRE, 49, 1161–1169 (1961).

  8. V. L. Karlash, “Electroelastic oscillations of a compound hollow piezoceramic cylinder with radial polarization,” Int. Appl. Mech., 26, No. 5, 440–443 (1990).

    ADS  MathSciNet  Google Scholar 

  9. V. L. Karlash, “Resonant electromechanical vibration of piezoelectric shells of revolution (review),” Int. Appl. Mech., 44, No. 4, 361–387 (2008).

    Article  ADS  Google Scholar 

  10. V. L. Karlash, “Electromechanical vibration of a piezoceramic hollow spheroid with a polar notch,” Int. Appl. Mech., 46, No. 5, 540–545 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  11. V. L. Karlash, “Forced electromechanical vibrations of rectangular piezoceramic bars with sectionalized electrodes,” Int. Appl. Mech., 49, No. 3, 360–368 (2013).

  12. V. L. Karlash, “Energy losses in piezoceramic resonators and its influence on vibration’s characteristics,” Electron. Communic., 19, No. 2 (79), 82–94 (2014).

  13. V. L. Karlash, “Modelling of energy-loss piezoceramic resonators by electric equivalent networks with passive elements,” Math. Model. Comput., 1, No. 2, 163–177 (2014).

    Google Scholar 

  14. I. F. Kirichok, “Resonant vibrations and self-heating of a clamped flexible thermoviscoelastic beam with piezoactuators,” Int. Appl. Mech., 50, No. 4, 421–429 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  15. G. E. Martin, “Dielectric, elastic and piezoelectric losses in piezoelectric materials,” in: Proc. Ultrasonic Symp., Milwaukee (1974), pp. 613–617.

  16. A. V. Mezheritsky, “Elastic, dielectric and piezoelectric losses in piezoceramics; how it works altogether,” IEEE Trans. Ultrason. Ferroelect, Frec. Contr., 51, No. 6, 695–797 (2004).

    Google Scholar 

  17. A. V. Mezheritsky, “Quality factor of piezoceramics,” Ferroelectr., 266, 277–304 (2002).

    Article  Google Scholar 

  18. N. A. Shul’ga, L. O. Grigor’eva, and N. O. Babkova, “Electrically excited nonstationary vibrations of thin circular piezoelectric plates,” Int. Appl. Mech., 50, No. 4, 406–411 (2014).

    Article  Google Scholar 

  19. J. G. Smits, “Iterative method for accurate determination of real and imaginary parts of materials coefficients of piezoelectric ceramics,” IEEE Trans. Sonics and Ultrasonics, SU-23, No. 6, 393–402 (1976).

  20. K. Uchino, J. H. Zheng, Y. H. Chen, et al., “Loss mechanisms and high power piezoelectrics,” J. Mat. Sci., 41, 217–228 (2006).

    Article  ADS  Google Scholar 

  21. K. Uchino, Yu. Zhuang, and S. O. Ural, “Loss determination methodology for a piezoelectric ceramic: new phenomenological theory and experimental proposals,” J. Adv. Dielectric, 1, No. 1, 17–31 (2011).

  22. S. O. Ural, S. Tuncdemir, Yu. Zhuang, and K. Uchino, “Development of a high power piezoelectric characterization system and its application for resonance/antiresonance mode characterization,” Jpn. J. Appl. Phys., 48, No. 5R, 056509 (2009).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. L. Karlash.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 51, No. 6, pp. 94–103, November–December 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Karlash, V.L. Vibration Modes of Radially Polarized Thin Cylindrical Piezoceramic Rings. Int Appl Mech 51, 682–690 (2015). https://doi.org/10.1007/s10778-015-0725-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-015-0725-3

Keywords

Navigation