Axisymmetric response of circular plates with piezoelectric layers: An exact solution

International Journal of Mechanical Sciences

Volumn 40, Issue 12, 1998, Pages 1265-1279

  Ling Hui, He ^a,b  

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

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Circular plate; Piezoelectricity; Smart structure

Indexed keywords

BOUNDARY CONDITIONS; ELECTRODES; INTELLIGENT STRUCTURES; MATHEMATICAL MODELS; PIEZOELECTRICITY; PROBLEM SOLVING; THREE DIMENSIONAL;

CIRCULAR PLATE; ELECTROMECHANICAL RESPONSE;

LAMINATES;

EID: 0032338441     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7403(98)00017-4     Document Type: Article

References (23)

1. Tiersten, H. F., Linear piezoelectric plate vibration. Plenum, New York, 1969.
2. Tzou, H. S., Piezoelectric Shells, Kluwer Academic Publishers, Dordrecht, 1993, pp. 13-71.
3. Rao, S. S. and Sunar, M., Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey. Applied Mechanics Review, 1994, 47, 113.
4. Reddy, J. N., On laminated composite plates with integrated sensors and actuators. Engineering Structures, 1998, (to appear).
5. Lee, C. K., 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, 1990, 87, 1144.
6. Tzou, H. S. and Tseng, C. I., Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: a piezoelectric finite element approach. Journal of Sound and Vibration, 1990, 137, 1.
7. Wang, B. T. and Rogers, C. A., Laminated plate theory for spatially distributed induced strain actuators. Journal of Composite Materials, 1991, 25, 433.
8. Crawley, E. F. and Lazarus, K. B., Induced strain actuation of isotropic and anisotropic plates. AIAA, 1991, 29, 944.
9. Pai, P. F., Nayfeh, A. H., Oh, K. and Mook, D. T., A refined nonlinear model of composites with integrated piezoelectric actuators and sensors. International Journal of Solids and Structures, 1993, 30, 1603.
10. Tzou, H. S. and Gadre, M., Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration control. Journal of Sound and Vibration, 1989, 132, 433.
11. Koconis, D. B., Kollar, L. P. and Springer, G. S., Shape control of composite plates and shells with embedded actuators: I. voltages specified. Journal of Composite Materials, 1994, 28, 45.
12. Miller, S. E. and Abramovich, H., A self-sensing piezolaminated actuator model for shells using a first order shear deformation theory. Journal of Intelligence Material System Structure, 1995, 6, 624.
13. Hwang, W. S. and Park, H. C., Finite element modeling of piezoelectric sensors and actuators, AIAA Journal, 1993, 31, 930.
14. Suleman, A. and Venkayya, V. B., A simple finite element formulation for a laminated composite plate with piezoelectric layers. Journal of Intelligence Material System Structures (1995), 6, 776.
15. Mitchell, J. A. and Reddy, J. N., A refined hybrid plate theory for composite laminates with piezoelectric laminae, International Journal of Solids and Structures, 1995, 32, 2345.
16. Reddy, J. N. and Mitchell, J. A., On refined nonlinear theories of laminated composite structures with piezoelectric laminae. Sadhana, 1995, 20, 721.
17. Hwang, J. H. and Wu, T. L., Analysis of hybrid multilayered piezoelectric plates. International Journal of Engineering Sciences, 1996, 34, 171.
18. Kaprielian, P. V., Rogers, T. G. and Spencer, A. J. M., Theory of laminated plates: I. isotropic laminae. Philosophical Transactions of the Royal Society of London, 1988, A324, 565.
19. Ray, M. C., Bhattachary, Y. and Samanta, B., Exact solutions for static analysis of intelligent structures. AIAA Journal, 1993, 31, 1684.
20. Heyliger, P., Static behavior of laminated elastic/piezoelectric plates. AIAA Journal, 1993, 32, 2481.
21. Heyliger, P. and Brooks, S., Free vibration of piezoelectric laminates in cylindrical bending. International Journal of Solids and Structures, 1995, 32, 2495.
22. Xu, K., Noor, A. K. and Tang, Y. Y., Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates. Computational Methods in Applied Mechanics and Engineering, 1995, 126, 355.
23. Timoshenko, S. P. and Woinowsky-Krieger, S., Theory of Plates and Shells. McGraw-Hill, New York, 1959.