International Applied Mechanics

, Volume 49, Issue 2, pp 194–202 | Cite as

Propagation of Electroelastic Waves in Multilayer Piezoelectric Cylinders with a Sector Notch

Article
First Online:
Received:

A method for the theoretical analysis of the spectra and properties of electroelastic waves in multilayer piezoelectric cylinders with a longitudinal sector notch with arbitrary angle is developed. The real and imaginary branches of the dispersion curves and ratios of period-averaged power flows in the inside and outside layers of the cylinder (waveguide) are studied. It is shown that the dispersion characteristics of cylinders vary widely with the material characteristics of the layers and the geometry of the cross-section

Keywords

piezoceramics multilayer cylinders noncircular cross-section electroelastic wave analytical solution 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    I. A. Loza, K. V. Medvedev, and N. A. Shul’ga, “Propagation of nonaxisymmetric acoustoelectric waves in layered cylinders,” Int. Appl. Mech., 23, No. 8, 703–706 (1987).ADSMATHGoogle Scholar
  2. 2.
    V. V. Puzyrev, “Spectra and properties of normal electroelastic waves in fixed piezoceramic cylinders of ring cross-section with a sector notch,” Mekh. Tverd. Tela, 36, 134–143 (2006).MathSciNetGoogle Scholar
  3. 3.
    V. M. Shul’ga, “Propagation of acoustoelectric waves in a hollow cylinder with a longitudinal physical-properties-symmetry axis,” Int. Appl. Mech., 35, No. 4, 356–365 (1999).MathSciNetCrossRefGoogle Scholar
  4. 4.
    V. M. Shul’ga, “Propagation of acoustoelectric waves in a hollow cylinder whose physicomechanical properties have a radial symmetry axis,” Int. Appl. Mech., 35, No. 7, 684–694 (1999).MathSciNetCrossRefGoogle Scholar
  5. 5.
    N. A. Shul’ga, “Propagation of harmonic waves in anisotropic piezoelectric cylinders: Homogeneous piezoceramic waveguides,” Int. Appl. Mech., 38, No. 8, 933–953 (2002).MathSciNetCrossRefGoogle Scholar
  6. 6.
    N. A. Shul’ga, “Propagation of harmonic waves in anisotropic piezoelectric cylinders: Compound waveguides,” Int. Appl. Mech., 38, No. 12, 1440–1458 (2002).CrossRefGoogle Scholar
  7. 7.
    N. A. Shul’ga, Yu. B. Evseichik, and K. V. Medvedev, “Propagation of axisymmetric acoustoelectric waves in a layered cylinder,” Int. Appl. Mech., 25, No. 9, 883–888 (1989).ADSGoogle Scholar
  8. 8.
    N. A. Shul’ga and K. V. Medvedev, “Propagation of acoustoelectric waves in a layered cylinder,” Int. Appl. Mech., 29, No. 5, 354–360 (1993).ADSCrossRefGoogle Scholar
  9. 9.
    N. A. Shul’ga and K. V. Medvedev, “Propagation of acoustoelectric waves in a layered cylinder with conducting layers,” Int. Appl. Mech., 31, No. 2, 85–92 (1995).ADSMATHCrossRefGoogle Scholar
  10. 10.
    N. A. Shul’ga, S. I. Rudnitskii, and Yu. B. Evseichik, “Investigation of axisymmetric electroacoustic waves in a cylindrical sandwich shell by three-dimensional and applied theories,” Int. Appl. Mech., 23, No. 10, 1005–1011 (1987).ADSMATHGoogle Scholar
  11. 11.
    N. A. Shul’ga and N. A. Yarygina, “Propagation of axisymmetric acoustoelectric waves in a layered cylinder with a fluid,” Sopr. Mater. Teor. Sooruzh., 61, 67–71 (1994).Google Scholar
  12. 12.
    V. T. Grinchenko, A. F. Ulitko, and N. A. Shul’ga, Electroelasticity, Vol. 5 of the five-volume series Mechanics of Coupled Fields in Structural Members [in Russian], Naukova Dumka, Kyiv (1989).Google Scholar
  13. 13.
    V. Puzyrev, “Elastic waves in piezoceramic cylinders of sector cross-section,” Int. J. Solids Struct., 47, 2115–2122 (2010).MATHCrossRefGoogle Scholar
  14. 14.
    V. Puzyrev and V. Storozhev, “Wave propagation in axially polarized piezoelectric hollow cylinders of sector cross section,” J. Sound Vibr., 330, 4508–4518 (2011).ADSCrossRefGoogle Scholar
  15. 15.
    V. I. Storozhev, R. R. Troian, and V. V. Puzyrev, “Normal waves in anisotropic cylinders of sector cross-section,” in: Proc. of the IUTAM Symp. on Recent Advances of Acoustic Waves in Solids, Taipei, Taiwan (2010), pp. 371–376.Google Scholar
  16. 16.
    N. A. Shul’ga, “Theory of dynamic processes in mechanical systems and materials of regular structure,” Int. Appl. Mech., 45, No. 12, 1301–1330 (2009).MathSciNetCrossRefGoogle Scholar
  17. 17.
    N. A. Shul’ga, “Direct relationship between the equations of electromagnetoelasticity in the International (SI) and Gaussian (SG) Systems of units,” Int. Appl. Mech., 47, No. 6, 685–693 (2011).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Donetsk National UniversityDonetskUkraine

Personalised recommendations