Advertisement

Acta Mechanica

, Volume 122, Issue 1–4, pp 49–63 | Cite as

Control of thermally induced elastic displacement of an isotropic structural plate bonded to a piezoelectric ceramic plate

  • J. -S. Choi
  • F. Ashida
  • N. Noda
Original Papers

Summary

The present paper deals with a thermoelastic problem in an isotropic structural plate to which a piezoelectric ceramic plate of crystal class 6mm is perfectly bonded. It is assumed that the combined plate is subjected to a thermal load and then is deformed. In this case, we try to control the deformation of the isotropic structural plate by applying an electric potential to the piezoelectric ceramic plate. By analyzing the piezothermoelastic problem in the combined plate, we obtain an appropriate applied electric potential which alters the isotropic structural plate to a prescribed deformation. Finally numerical calculations are carried out for an isotropic steel plate to which a cadmium selenide plate is perfectly bonded, and the results are illustrated graphically.

Keywords

Dynamical System Cadmium Numerical Calculation Fluid Dynamics Electric Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Rao, S. S., Sunar, M.: Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey. Appl. Mech. Rev.47, 113–123 (1994).Google Scholar
  2. [2]
    Grawley, E. F.: Intelligent structures for aerospace: a technology overview and assessment. AIAA J.32, 1689–1699 (1994).Google Scholar
  3. [3]
    Toupin, R. A.: The elastic dielectric. J. Rat. Mech. Anal.5, 849–915 (1956).Google Scholar
  4. [4]
    Nye, J. F.: Physical properties of crystals. London: Oxford University Press 1957.Google Scholar
  5. [5]
    Toupin, R. A.: A dynamical theory of elastic dielectrics. Int. J. Eng. Sci.1, 101–126 (1963).Google Scholar
  6. [6]
    Maugin, G. A.: Continuum mechanics of electromagnetic solids. Amsterdam: North-Holland 1988.Google Scholar
  7. [7]
    Tiersten, H. F.: On the nonlinear equations of thermoelectroelasticity. Int. J. Eng. Sci.9, 587–604 (1971).Google Scholar
  8. [8]
    Nowacki, W.: Dynamic problems of thermoelasticity. Leyden: Noordhoff 1975.Google Scholar
  9. [9]
    Chandrasekharaiah, D. S.: A generalized linear thermoelasticity theory for piezoelectric media. Acta Mech.71, 39–49 (1988).Google Scholar
  10. [10]
    Kalpakidis, V. K., Massalas, C. V.: Tiersten's theory of thermoelectroelasticity: an extension. Int. J. Eng. Sci.31, 157–164 (1993).Google Scholar
  11. [11]
    Ciarletta, M., Scalia, A.: Theory of thermoelastic dielectrics with voids. J. Thermal Stresses17, 529–548 (1994).Google Scholar
  12. [12]
    Tauchert, T. R.: Piezothermoelastic behavior of a laminated plate. J. Thermal Stresses15, 25–37 (1992).Google Scholar
  13. [13]
    Ashida, F., Tauchert, T. R., Noda, N.: Response of a piezothermoelastic plate of crystal class 6mm subject to axisymmetric heating. Int. J. Eng. Sci.31, 373–384 (1993).Google Scholar
  14. [14]
    Ashida, F., Tauchert, T. R., Noda, N.: A general solution technique for piezothermoelasticity of hexagonal solids of class 6mm in Cartesian coordinates. Z. Angew. Math. Mech.74, 87–95 (1994).Google Scholar
  15. [15]
    Ashida, F., Tauchert, T. R., Noda, N.: Potential function method for piezothermoelastic problems of solids of crystal class 6mm in cylindrical coordinates. J. Thermal Stresses17, 361–375 (1994).Google Scholar
  16. [16]
    Choi, J., Ashida, F., Noda, N.: Transient piezothermoelasticity of a hexagonal plate of class 6mm. Arch. Appl. Mech.65, 24–37 (1995).Google Scholar
  17. [17]
    Takeuti, Y.: On some three-dimensional thermal stress problems in industrial applictions. In: Thermal stresses I (Hetnarski, R. B., ed.), pp. 485–535. Amsterdam: North-Holland 1986.Google Scholar
  18. [18]
    Berlincourt, D., Jaffe, H., Shiozawa, L. R.: Electroelastic properties of the sulfides, selenides, and tellurides of zinc and cadmium. Phys. Rev.129, 1009–1017 (1963).Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • J. -S. Choi
    • 1
  • F. Ashida
    • 2
  • N. Noda
    • 3
  1. 1.Department of Electronic Science and TechnologyGraduate School of Shizuoka UniversityHamamatsu, Shizuoka
  2. 2.Department of Electronics and Control EngineeringTsuyama National College of TechnologyTsuyama, Okayama
  3. 3.Department of Mechanical Engineering, Faculty of EngineeringShizuoka UniversityHamamatsu ShizuokaJapan

Personalised recommendations