Skip to main content
SpringerLink
Log in

A Two-Dimensional Analysis of Surface Acoustic Waves in Finite Piezoelectric Plates

  • Conference paper
  • First Online:
IUTAM Symposium on Recent Advances of Acoustic Waves in Solids

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 26))

  • 1470 Accesses

Abstract

The analysis of surface acoustic waves in finite elastic solids is of fundamental and practical importance, giving the fact that those typical problems concerning solutions of the well-known wave propagation equations are hard to obtain. In searching of an accurate analytical method, we compare this problem with the known bulk acoustic wave problems in finite plates and corresponding Mindlin and Lee plate theories which have been instrumental in solving these problems with accuracy and simplicity. Analogous to power and trigonometric series expansions of displacements, we use exponential functions obtained from semi-infinite solutions of surface acoustic waves to represent the decaying displacements along thickness direction. We present a two-dimensional theory specifically for surface acoustic waves in finite solids with goals to use it for surface acoustic wave resonator analysis and design. The two-dimensional theory for piezoelectric plates is presented and considered through the effective elastic constants for simplification.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Achenbach, J. D.: Wave Propagation in Elastic Solids. North-Holland (1987).

    Google Scholar 

  2. Graff, K. F.: Wave Motion in Elastic Solids. Dover (1991).

    Google Scholar 

  3. Auld, B. A.: Acoustic Fields and Waves in Solids (I & II). Krieger, Malabar, FL (1990).

    Google Scholar 

  4. Royer, D., Dieulesaint, E.: Elastic Waves in Solids (I & II). Springer, Berlin (2000).

    Google Scholar 

  5. Farnell, G.W.: Properties of elastic surfaces waves. In: Mason, W.P., Thurston R.N. (eds.): Physical Acoustics, VI, pp. 109-166. Academic Press, New York (1970).

    Google Scholar 

  6. Wu, Y.: Waves in Elastic Solids. In: Zhang, F., Wang, L. (eds.): Modern Piezoelectricity, I, pp. 100-140. Science Press, Beijing (2001). (In Chinese)

    Google Scholar 

  7. Hashimoto, K.-Y.: Surface Acoustic Wave Devices in Telecommunications. Springer, Berlin (2000).

    Google Scholar 

  8. Yong, Y.-K.: Analysis of periodic structures for BAW and SAW resonators. Proc. of 2001 IEEE Intl. Ultrasonics Symp. 781-790 (2001).

    Google Scholar 

  9. Yoon, S., Yu, J.-D., Kanna, S., Oshio, M., Tanaka, M.: Finite element analysis of the substrate thickness on traveling leaky surface acoustic waves. Proc. of 2004 IEEE Intl. Ultrasonics Symp. 1696-1699 (2004).

    Google Scholar 

  10. Mindlin, R.D.: High frequency vibrations of piezoelectric crystal plates. Intl. J. Solids Struct. 8 891-906 (1972).

    Google Scholar 

  11. Lee, P.C.Y., Yu, J.-D., Lin, W.-S.: A new two-dimensional theory for vibrations of piezoelectric crystal plates with electroded faces. J. Appl. Phys. 83(3) 1213-1223 (1998).

    Article  Google Scholar 

  12. Peach, R.C.: A normal mode expansion for the piezoelectric plates and certain of its applications. IEEE Trans. UFFC. 35(5) 593-611 (1988).

    Google Scholar 

  13. Wang, J., Hashimoto, K.-Y.: A two-dimensional theory for the analysis of surface acoustic waves in finite elastic solids. J. Sound Vib. 295 838-855 (2006).

    Article  Google Scholar 

  14. Wang, J., Hashimoto, K.-Y.: A two-dimensional theory for the analysis of surface acoustic waves in anisotropic elastic solids. Proc. of 2003 IEEE Intl. Ultrasonics Symp. 637-640 (2003).

    Google Scholar 

  15. Mindlin, R.D. (Yang, J.S., ed.): An Introduction to the Mathematical Theory of Vibrations of Elastic Plates. World Scientific Hackensack, NJ (2006).

    Google Scholar 

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

    Google Scholar 

  17. Wang, J., Du, J., Pan, Q.: A two-dimensional analysis of surface acoustic waves in finite plates with eigensolutions.Sci. China Ser. G. 50(5), 631-649 (2007).

    Google Scholar 

  18. Wang, J., Li, Z., Du, J.: An analysis of the effect of periodic electrodes on surface acoustic wave resonators. Proc. of IEEE 2006 Intl. Freq. Control Symp. 161-164 (2006).

    Google Scholar 

  19. Wang, J., Du, J., Lin, J., Li, Z.: Two-dimensional analysis of the effect of an electrode layer on surface acoustic waves in a finite anisotropic plate. Ultrasonics 44 (S1) 935-939 (2006).

    Article  Google Scholar 

  20. Wang, J., Lin, J., Wan, Y., Zhong, Z.: A two-dimensional analysis of surface acoustic waves in finite solids with considerations of electrodes. Int. J. Appl. Electrom. 22 53-68 (2005).

    Google Scholar 

  21. Rahman, S., Langtangen, H.P., Barnes, C. H. W.: A finite element method for modelling electromechanical wave propagation in anisotropic piezoelectric media. J. Comput. Phys. 2 (2), 271-292 (2007).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Piezoelectric Device Laboratory, Department of Mechanics and Engineering Science, School of Engineering, Ningbo University, 818 Fenghua Road, Ningbo, Zhejiang, 315211, China

    Ji Wang, Rongxing Wu & Jianke Du

Authors
  1. Ji Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rongxing Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jianke Du
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ji Wang .

Editor information

Editors and Affiliations

  1. Institute of Applied Mechanics, Dept. Mechanical Engineering, National Taiwan University, Roosevelt Road 1, Taipei, 10617, Taiwan R.O.C.

    Tsung-Tsong Wu

  2. Dept. Mechanical Engineering, National Taiwan University, Roosevelt Rd. 1, Taipei, 106, Taiwan R.O.C.

    Chien-Ching Ma

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this paper

Cite this paper

Wang, J., Wu, R., Du, J. (2010). A Two-Dimensional Analysis of Surface Acoustic Waves in Finite Piezoelectric Plates. In: Wu, TT., Ma, CC. (eds) IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9893-1_23

Download citation

  • DOI: https://doi.org/10.1007/978-90-481-9893-1_23

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9892-4

  • Online ISBN: 978-90-481-9893-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation