Exact solutions for simply supported laminated piezoelectric plates

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 2, 1997, Pages 299-306

  Heyliger, P ^a  

^a Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); ELASTICITY; ELECTRIC FIELDS; ELECTRIC LOADS; INTERFACES (MATERIALS); LAMINATES; PIEZOELECTRIC MATERIALS; STRUCTURAL LOADS;

LAMINATED PIEZOELECTRIC PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0031163009     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2787307     Document Type: Article

References (19)

1. Berlincourt, D. A., Curran, D. R., and Jaffe, H., 1964, “Piezoelectric and Piezo-magnetic Materials and Their Function in Transducers,” in Physical Acoustics, W, P. Mason, ed., Vol. 1, pp. 169-270.
2. Cady, W. G., 1964, Piezoelectricity, rev. ed., Vols. 1 and 2, Dover Publications, New York.
3. Dimitriadis, E. K., Fuller, C. R., and Rogers, C. A., 1989, “Piezoelectric Actuators for Distributed Noise and Vibration Excitation of Thin Plates,” Proceedings of ASME Failure Prevention and Reliability Conference, Montreal, pp. 223-233.
4. Heyliger, P. R., Pei, K. C., and Ramirez, G., 1994, “Discrete-Layer Piezoelectric Plate and Shell Models for Active Tip Clearance Control,” NASA Contractor Report 195383.
5. Heyliger, P., 1994, “Static Behavior of Laminated Elastic/Piezoelectric Plates,” AIAA Journal, Vol. 32, pp. 2481-2484.
6. Heyliger, P., and Brooks, S., 1996, “Exact Solutions for Laminated Piezoelectric Plates in Cylindrical Bending,” ASME Journal of Applied Mechanics, Vol. 63, pp. 903-910.
7. Lazarus, K. B., and Crawley, E. F., 1989, “Induced Strain Actuation of Composite Plates,” GTL Report No. 197, M.I.T., Cambridge, MA.
8. Lee, C.-K., and Moon, F. C., 1989, “Laminated Piezopolymer Plates for Torsion and Bending Sensors and Actuators,” Journal of the Acoustical Society of America, Vol. 85, pp. 2432-2439.
9. Lee, C.-K., 1990, “Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors/Actuators. Part I: Governing Equations and Reciprocal Relationships,” Journal of the Acoustical Society of America, Vol. 87, pp. 1144-1158.
10. Lee, C.-K., Chiang, W.-W., and O’Sullivan, T. C., 1991, “Piezoelectric Modal Sensor/Actuator Pairs for Critical Active Damping Vibration Control,” Journal of the Acoustical Society of America, Vol. 90, pp. 374-384.
11. Mason, W. P., 1950, Piezoelectric Crystals and Their Applications to Ultrasonics, D. Van Nostrand, New York.
12. Nye, N. Y., 1972, Physical Properties of Crystal: Their Representation by Tensors and Matrices, Oxford University Press, Oxford, UK.
13. Pagano, N. J., 1970, “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates,” Journal of Composite Materials, Vol. 4, pp. 20-34.
14. Tiersten, H. F., 1969, Linear Piezoelectric Plate Vibrations, Plenum, New York.
15. Tiersten, H. F., 1999, Linear Piezoelectric Plate Vibrations, Plenum, New York.
16. Tashiro, K., Tadokoro, H., and Kobayashi, M., 1981, “Structure and Piezoelectricity of Poly(Vinylidene Flouride),” Ferroelectrics, Vol. 32, pp. 167-175.
17. Voigt, W., 1928, Lehrbuch der Kristallphysik, 2nd ed., B. G. Teubner, Leipzig.
18. Wang, B. T., Dimitriadis, E. K., and Fuller, C. R. 1989, “Active Control of Panel Related Noise Using Multiple Piezoelectric Actuators,” Journal of the Acoustical Society of America, Vol. 86, No. S1, p. S84.
19. Wang, B.-T., and Rogers, C. A., 1991, “Laminate Plate Theory for Spatially Distributed Induced Strain Actuators,” Journal of Composite Materials, Vol. 25, pp. 433-452.