Three-dimensional natural vibration analysis and energy considerations for a piezoelectric rectangular plate

Journal of Sound and Vibration

Volumn 283, Issue 3-5, 2005, Pages 1093-1113

  Cupiał, Piotr ^a  

^a CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ALGORITHMS; MICROELECTROMECHANICAL DEVICES; NATURAL FREQUENCIES; PIEZOELECTRIC MATERIALS; PROBLEM SOLVING; SENSORS; THICKNESS MEASUREMENT;

ELECTROMECHANICAL COUPLINGS; ENERGY BALANCE; RAYLEIGH QUOTIENT; THICKNESS DISTRIBUTIONS;

VIBRATIONS (MECHANICAL);

EID: 15944366593     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.06.019     Document Type: Article

References (20)

1. H.F. Tiersten Linear Piezoelectric Plate Vibrations 1969 Plenum Press New York
2. W. Nowacki Electromagnetic Effects in Deformable Solids 1983 (in Polish), Polska Akademia Nauk (Polish Academy of Sciences) Warsaw
3. S. Srinivas, and A.K. Rao Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates International Journal of Solids and Structures 6 1970 1463 1481
4. P. Bisegna, and F. Maceri An exact three-dimensional solution for simply supported rectangular piezoelectric plates Journal of Applied Mechanics 63 1996 628 638
5. P. Heyliger Exact solutions for simply supported laminated piezoelectric plates Journal of Applied Mechanics 64 1997 299 306
6. S.S. Vel, and R.C. Batra Three-dimensional analytical solution for hybrid multilayered piezoelectric plates Journal of Applied Mechanics 67 2000 558 567
7. P. Heyliger, and S. Brooks Free vibration of piezoelectric laminates in cylindrical bending International Journal of Solids and Structures 32 1995 2945 2960
8. P. Heyliger, and D.A. Saravanos Exact free-vibration analysis of laminated plates with embedded piezoelectric layers Journal of the Acoustical Society of America 98 1995 1547 1557
9. W.-Q. Chen, R.-Q. Xu, and H.-J. Ding On free vibration of a piezoelectric composite rectangular plate Journal of Sound and Vibration 218 1998 741 748
10. P. Bisegna, and G. Caruso Evaluation of higher-order theories of piezoelectric plates in bending and in stretching International Journal of Solids and Structures 38 2001 8805 8830
11. N.N. Rogacheva The Theory of Piezoelectric Shells and Plates 1994 CRC Press Boca Raton
12. J.A. Mitchell, and J.N. Reddy A refined hybrid plate theory for composite laminates with piezoelectric laminae International Journal of Solids and Structures 32 1995 2345 2367
13. H.S. Tzou Active piezoelectric shell continua H.S. Tzou G.L. Anderson Intelligent Structures and their Applications 1992 Kluwer Academic Publishers Amsterdam
14. A. Fernandes, and J. Pouget Accurate modelling of piezoelectric plates single-layered plate Archive of Applied Mechanics 71 2001 509 524
15. M. Krommer, and H. Irschik A Reissner-Mindlin type plate theory including the direct piezoelectric and the pyroelectric effect Acta Mechanica 141 2000 51 69
16. A. Benjeddou, and J.-F. Deü A two-dimensional closed-form solution for the free-vibration analysis of piezoelectric sandwich plates International Journal of Solids and Structures 39 2002 1463 1486
17. B. Jaffe, W.R. Cook, and H. Jaffe Piezoelectric Ceramics 1971 Academic Press London and New York
18. ANSYS Verification Guide, 2nd Ed., SAS IP, Inc.
19. D. Royer, and E. Dieulesaint Elastic Waves in Solids 2000 Springer Berlin
20. P. Cupiał, Exact three-dimensional natural vibration analysis of a piezoelectric rectangular plate, in: Proceedings of the VIII International Conference on Recent Advances in Structural Dynamics, Paper No. 43, Southampton, 2003.