Skip to main content
Log in

Propagation of thickness-twist waves in a multi-sectioned piezoelectric plate of 6 mm crystals

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

We study thickness-twist vibrations and waves in an unbounded, multi-sectioned piezoelectric plate of crystals with 6 mm symmetry or polarized ceramics. An exact solution from the three-dimensional equations of piezoelectricity is obtained. Basic vibration and wave propagation characteristics are calculated based on the solution. The results are useful in the understanding and design of plate resonators, filters and acoustic wave sensors of ZnO, AlN and polarized ceramics.

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. Mindlin R.D. (1965). Thickness-twist vibrations of an infinite, monoclinic, crystal plate. Int. J. Solids Struct. 1(2): 141–145

    Article  Google Scholar 

  2. Mindlin R.D. (1967). Bechmann’s number for harmonic overtones of thickness/twist vibrations of rotated Y-cut quartz plates. J. Acoust. Soc. Am. 41(4): 969–973

    Article  Google Scholar 

  3. Pearman G.T. (1968). Thickness-twist vibrations in beveled AT-cut quartz plates. J. Acoust. Soc. Am. 45(4): 928–934

    Article  Google Scholar 

  4. Bleustein J. (1966). Thickness-twist and face-shear vibrations of a contoured crystal plate. Int. J. Solids Struct. 2(3): 351–360

    Article  Google Scholar 

  5. Bleustein J.L. (1969). Some simple modes of wave propagation in an infinite piezoelectric plate. J. Acoust. Soc. Am. 45(3): 614–620

    Article  Google Scholar 

  6. Pang W., Zhang H. and Kim E.S. (2005). Micromachined acoustic wave resonator isolated from substrate. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52(8): 1239–1246

    Article  Google Scholar 

  7. Link M., Schreiter M., Weber J., Primig R., Pitzer D. and Cabl R. (2006). Solidly mounted ZnO shear mode film bulk acoustic wave resonators for sensing applications in liquids. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53(2): 492–496

    Article  Google Scholar 

  8. Martin F., Jan M.-E., Rey-Mermet S., Belgacem B., Su D., Cantoni M. and Muralt P. (2006). Shear Mode Coupling and Tilted Grain Growth of AlN Thin Films in BAW Resonators. IEEE Trans. Ultras. Ferroelectr. Freq. Control 53(7): 1339–1343

    Article  Google Scholar 

  9. Yang J.S. and Guo S.H. (2006). Thickness-twist modes in a rectangular piezoelectric resonator of hexagonal crystals. Appl. Phys. Lett. 88: 153506

    Article  Google Scholar 

  10. Laude V., Wilm M., Benchabane S. and Khelif A. (2004). Full band gaps for surface acoustic waves in piezoelectric phononic crystals. Ultrason. Symp. IEEE 2: 1046–1049

    Article  Google Scholar 

  11. Huang Z.-G. and Wu T.-T. (2005). Temperature effect on the bandgaps of surface and bulk acoustic waves in two-dimensional phononic crystals. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52(3): 365–370

    Article  Google Scholar 

  12. Hsieh P.-F., Wu T.-T. and Sun J.-H. (2006). Three-dimensional phononic band gap calculations using FDTD method and a PC cluster system. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53(1): 148–158

    Article  Google Scholar 

  13. Li F.M., Wang Y.S. and Chen A.L. (2006). Wave localization in randomly disordered periodic rods. Acta Mechanica Solida Sinica 19(1): 50–57

    Google Scholar 

  14. Tiersten H.F.: Linear Piezoelectric Plate Vibrations. Plenum, New York (1969)

    Google Scholar 

  15. Yang J.S., Chen Z.G. and Hu Y.T. (2006). Trapped thickness-twist modes in an inhomogeneous piezoelectric plate of 6 mm crystals. Philos. Mag. Lett. 86(11): 699–705

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. T. Hu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, J.S., Chen, Z.G., Hu, Y.T. et al. Propagation of thickness-twist waves in a multi-sectioned piezoelectric plate of 6 mm crystals. Arch Appl Mech 77, 689–696 (2007). https://doi.org/10.1007/s00419-007-0126-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-007-0126-0

Keywords

Navigation