Skip to main content
SpringerLink
Log in

Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft

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

Abstract

In the present paper, the analytical solution for a radially piezoelectric functionally graded rotating hollow shaft is presented. The variation of material properties is assumed to follow a power law along the radial direction of the shaft. Two resulting fully coupled differential equations in terms of the displacement and electric potential are solved directly. Numerical results for different shaft geometries with different profiles of inhomogeneity are also graphically displayed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Google Scholar 

  2. Berlincourt D.A. (1971). Piezoelectric crystals and ceramics. In: Mattiat, O.E. (eds) Ultrasonic Transducer Materials., pp 63–124. Plenum, New York

    Google Scholar 

  3. Berlincourt D.A., Curran D.R. and Jaffe H. (1964). Piezoelectric and piezomagnetic materials and their function in transducers. In: Mason, W.P. (eds) Physical Acoustics: Principles and Methods, pp 169–270. Academic, New York

    Google Scholar 

  4. Jaffe B., Jaffe H. and Cook W.R. Jr (1971). Piezoelectric Ceramics. Academic, London

    Google Scholar 

  5. Grinchenko, V.T., Ulitko, A.F., Shul’ga N.A.: Electroelasticity, Vol. 5 of the five-volume series. In: Guz, A.N. (ed.) Mechanics of Coupled Fields in Structural Members (in Russian). Naukova Dumka, Kiev (1989)

  6. Adelman N.T., Stavsky Y. and Segal E. (1975). Axisymmetric vibrations of radially polarized piezoelectric ceramic cylinders. J. Sound Vib. 38: 245–254

    Article  MATH  Google Scholar 

  7. Bugdayci N., Bogy D.B. and Talke F.E. (1983). Axisymmetric motion of radially polarized piezoelectric cylinders used in ink jet printing. IBM. J. Res. Devel. 27(2): 171–180

    Article  Google Scholar 

  8. Chen W.Q. (1999). Problems of radially polarized piezoelastic bodies. Int. J. Solids Struct. 36: 4317–4332

    Article  MATH  Google Scholar 

  9. Wang H.M., Ding H.J. and Chen Y.M. (2005). Transient responses of a multilayered spherically isotropic piezoelectric hollow sphere. Arch. Appl. Mech. 74: 581–599

    Article  MATH  Google Scholar 

  10. Chen Y. and Shi Z. (2006). Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings. Arch. Appl. Mech. 75: 326–337

    Article  MATH  Google Scholar 

  11. Chen W.Q. (2000). Stress distribution in a rotating elastic functionally graded material hollow sphere with spherical isotropy. J. Strain Anal. 35(1): 13–20

    Article  Google Scholar 

  12. Hou P.F., Ding H.J. and Leung A.Y.T. (2006). The transient responses of a special inhomogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem. J. Sound Vib. 291: 19–47

    Article  Google Scholar 

  13. Eslami M.R., Babaei M.H. and Poultangari R. (2005). Thermal and mechanical stresses in a functionally graded thick sphere. Int. J. Press. Vessels Pip. 82: 522–527

    Article  Google Scholar 

  14. Galic D. and Horgan C.O. (2002). Internally pressurized radially polarized piezoelectric cylinders. J. Elast. 66: 257–272

    Article  MATH  MathSciNet  Google Scholar 

  15. Galic D. and Horgan C.O. (2003). The stress response of radially polarized rotating piezoelectric cylinders. J. Appl. Mech. 70: 426–435

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, Canada, E3B 5A3

    M. H. Babaei & Z. T. Chen

Authors
  1. M. H. Babaei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Z. T. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Z. T. Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babaei, M.H., Chen, Z.T. Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft. Arch Appl Mech 78, 489–500 (2008). https://doi.org/10.1007/s00419-007-0172-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-007-0172-7

Keywords

Search

Navigation