Three-dimensional analysis of an antiparallel piezoelectric bimorph

Acta Mechanica

Volumn 145, Issue 1-4, 2000, Pages 189-204

  He, L H ^a   Lim, C W ^b   Soh, A K ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CANTILEVER BEAMS; ELECTRIC CONDUCTIVITY; ELECTRIC POTENTIAL; ELECTRODES; ELECTROMECHANICAL DEVICES; INTERFACES (MATERIALS); PROBLEM SOLVING;

BIMORPHS; FIELD EQUATIONS;

PIEZOELECTRIC MATERIALS;

EID: 0034476608     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01453652     Document Type: Article

References (24)

1. Smits, J. G., Dalke, S. I., Cooney, T. K.: The constituent equations of piezoelectric bimorphs. Sensors and Actuators A 28, 41-61 (1991).
2. Thurston, E. G.: The theoretical sensitivity ot three types of rectangular bimorph transducers. J. Acoust. Soc. Am. 25, 870-820 (1953).
3. Keuning, D. H.: Approximate equations for the flexure of thin, incomplete, piezoelectric bimorphs. J. Eng. Math. 5, 307-319 (1971).
4. Steel, M. R., Harrison, F., Harper, P. G.: The piezoelectric bimorph: an experimental and theoretical study of its quasistatic response. J. Phys. D: Appl. Phys. 11, 979-989 (1978).
5. Kokorowski, S. A.: Analysis of adaptive optical elements made from piezoelectric bimorphs. J. Optical Soc. Am. 69, 181-187 (1979).
6. 2 bimorph cantilever vibrator. Ferroelectrics 22, 911-918 (1979).
7. Tzou, H. S., Gadre, M.: Theoretical analysis of a multi-layered thin shell coupled with embedded actuators for distributed vibration control. J. Sound Vibration 132, 433-450 (1989).
8. Lee, C. K.: Theory of laminated piezoelectric plates for the design of distributed sensors/actuators: part I: governing equations and reciprocal relationships. J. Acoust. Soc. Am. 87, 1144-1158 (1990).
9. Mitchell, J. A., Reddy, J. N.: A refined hybrid plate theory for composites with piezoelectric laminae. Int. J. Solids Struct. 32, 2345-2367 (1995).
10. He, L. H.: Axisymmetric response of circular plates with piezoelectric layers: an exact solution. Int. J. Mech. Sci. 40, 1265-1279 (1998).
11. Heyliger, P.: Static behavior of laminated elastic/piezoelectric plates. AIAA J. 32, 2481-3484 (1993).
12. Heyliger, P.: Exact solutions for simply supported laminated piezoelectric plates. J. Appl. Mech. 64, 299-306 (1997).
13. Xu, K., Noor, A. K., Tang, Y. Y.: Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates. Comp. Methods Appl. Mech. Engng 126, 355-371 (1995).
14. Lee, J. S., Jiang, L. Z.: Exact electroelastic analysis of piezoelectric laminae via state space approach. Int. J. Solids Struct. 33, 977-990 (1996).
15. Cheng, Z. Q., Lim, C. W., Kitipornchai, S.: Three-dimensional exact solution for inhomogenous and laminated piezoelectric plates. Int. J. Engng Sci. 37, 1425-1439 (1999).
16. Cheng, Z. Q, Lim, C. W., Kitipornchai, S.: Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates. Int. J. Solids Struct. (in press).
17. Kaprielian, P. V., Rogers, T. G., Spencer, A. J. M.: Exact theory for the stretching and the bending of laminated plates by edge loading, I. isotropic plates, Phil. Trans. R. Soc London A 234, 565-594 (1988).
18. Rogers, T. G., Spencer, A. J. M.: Thermoelastic stress analysis of moderately thick inhomogcncous and laminated plates. Int. J. Solids Struct. 25, 1467-1482 (1989).
19. Rogers, T. G., Waston, P., Spencer, J. M.: An exact three-dimensional solution for normal loading of inhomogeneous and laminated anisotropic elastic plates of moderate thickness. Proc. R. Soc. London A 437, 199-213 (1992).
20. Nye, J. F.: Physical properties of crystal and their representation by tensors and matrix. Oxford: Oxford University Press 1976.
21. Gantmacher, F. R.: The theory of matrix, vol. 2. New York: Chelsea 1960.
22. Gol'denveizer, A. L.: Boundary layer and its interaction with the interior stale of stress of an elastic thin shell. J. Appl. Math. Mech. 33, 971-1001 (1969).
23. Timoshenko, S. P., Woinowsky-Krieger, S.: Theory of plates and shells. New York: McGraw-Hill 1959.
24. Batra, R. C., Yang, J. S.: Saint-Venant's principle in linear piezoelectricity. J. Elasticity 38, 209-218 (1995).