The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators

International Journal of Solids and Structures

Volumn 33, Issue 11, 1996, Pages 1597-1618

  Batra, R C ^a   Liang, X Q ^a   Yang, J S ^b  

^a Virginia Polytechnic Institute and State University   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; BENDING (DEFORMATION); ELASTICITY; NUMERICAL ANALYSIS; PIEZOELECTRIC MATERIALS; VIBRATIONS (MECHANICAL);

BENDING VIBRATIONS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0030150321     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00116-6     Document Type: Article

References (12)

1. Hanagud, S. and Kulkarni, G. (1992). Coupled piezoceramic-elastic structures with finite deformations. Developments in Theoretical and Applied Mechanics, Proc. 16th Southeastern Conference on Theoretical and Applied Mechanics, XVI, pp. II.20.22-30. The University of Tennessee Space Institute.
2. Jones, R. M. (1975). Mechanics of Composite Materials. Scripta, Washington, DC.
3. Mitchell, J. A. and Reddy, J. N. (1995). A refined hybrid plate theory for composite laminates with piezoelectric laminae. Int. J. Solids Structures 32, 2345-2368.
4. Srinivas, S., Rao, C. V. J. and Rao, A. K. (1970). An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates. J. Sound Vib. 12, 257-269.
5. Tang, Y. Y. and Xu, K. (1995). Dynamic analysis of a piezothermoelastic laminated plate. J. Thermal Stresses 18, 87-104.
6. Tauchert, T. R. (1992). Piezothermoelastic behavior of a laminated plate. J. Thermal Stresses 15, 25-37.
7. Tiersten, H. F. (1993). Electroelastic equations for electroded thin plates subject to large driving voltages. J. Appl. Phys. 74, 3389-3393.
8. Wang, Z. K., (1987). Mathematical Formulas, pp. 16-17. Chongqing Press, China [in Chinese].
9. Wittrick, W. H. (1987). Analytical, three-dimensional elasticity solutions to some plate problems, and some observations on Mindlin's plate theory. Int. J. Solids Structures 23, 441-464.
10. Yang, J. S., Batra, R. C. and Liang, X. Q. (1994). The cylindrical bending vibration of a laminated elastic plate due to piezoelectric actuators. Smart Mater. Structures 3, 485-493.
11. Zauderer, E. (1983). Partial Differential Equations of Applied Mathematics, p. 167. Wiley, New York.
12. Zhou, Y. S. and Tiersten, H. F. (1994). An elastic analysis of laminated composite plates in cylindrical bending due to piezoelectric actuators. Smart Mater. Structures 3, 255-265.