Free vibration analysis of functionally graded coupled circular plate with piezoelectric layers

Journal of Mechanical Science and Technology

Volumn 23, Issue 8, 2009, Pages 2008-2021

  Mehrabadi, Saeed Jafari ^a   Kargarnovin, M H ^b   Najafizadeh, M M ^c  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^c Department of Electronic Engineer   (Iran)

Author keywords

Circular Plate; Functionally Graded; Piezoelectric; Vibration

Indexed keywords

ANALYTICAL SOLUTIONS; CIRCULAR PLATE; CIRCULAR PLATES; CLASSICAL PLATE THEORY; DIFFERENT BOUNDARY CONDITION; FREE-VIBRATION ANALYSIS; FUNCTIONALLY GRADED; GOVERNING DIFFERENTIAL EQUATIONS; MATERIAL PROPERTY; PIEZOELECTRIC; PIEZOELECTRIC LAYERS; PIEZOELECTRIC PLATE; PIEZOELECTRIC THICKNESS; POWER INDICES; POWER LAW; RESONANT FREQUENCIES; SIMPLY SUPPORTED; THICKNESS DIRECTION; VIBRATION;

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; FUNCTIONALLY GRADED MATERIALS; MAXWELL EQUATIONS; NATURAL FREQUENCIES; PIEZOELECTRIC TRANSDUCERS; PIEZOELECTRICITY;

VIBRATION ANALYSIS;

EID: 70350613125     PISSN: 1738494X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12206-009-0519-9     Document Type: Article

References (33)

1. F. E. Crawley and J. Luis, Use of piezoelectric actuators as elements of intelligent structures, AIAA. J. 25(10) (1987) 1373-1385.
2. T. Takano and H. Hiroshi and T. Yoshro, Analysis of nonaxisymmetric vibration mode piezoelectric annular plate and its application to an ultrasonic motor, IEEE. Trans on Ultrasonic Ferroelectrics. 37(6) (1990) 558-565.
3. H. Woo-Seok and C. P. Hyun, Finite element modeling of piezoelectric sensors and actuators, AIAA. J. 31(5) (1993) 930-937.
4. W. Nesbit and J. V. Hagood and J. M. Andrew, Modeling of a piezoelectric rotary ultrasonic motor, IEEE Trans on Ultrasonic Ferroelectrics. 42(2) (1995) 210-224.
5. P. Heyliger, Exact solutions for simply supported laminated piezoelectric plates, J. Appl. Mech. 64 (1997) 299-306.
6. J. R. Friend and D. S. Stutts, The dynamics of an annular piezoelectric motor stator, J. Sound. Vib. 204(3) (1997) 421-437.
7. P. Hagedorn and J. Wallashek, Traveling wave ultrasonic motors part I working principle and mathematical modeling of the stator, J. Sound. Vib. 155 (1992) 31-46.
8. J. Wallashek P. Hagedorn and W. Konrad, 1993 Traveling wave ultrasonic motors part II: a numerical method for the flexural vibrations of the stator, J. Sound. Vib. 168 (1993) 115-122.
9. J. E. Ashton and M. Whitney, Theory of Laminated Plates, Stanford, (1970).
10. R. Szilard, Theory and analysis of plates-classical and numerical methods, Englewood Cliffs NJ: Prentice-Hall, (1974).
11. R. D. Mindlin, Influence of rotary inertia and shear on flexural motions of isotropic elastic plates, J. Appl Mech. Trans. ASME E 73 (1951) 31-38.
12. J. N. Reddy, A general third-order nonlinear theory of plates with moderate thickness, J. Nonlinear Mech. 25 (1990) 677-686.
13. J. N. Reddy, A review of refined theories of laminated composite plates, Shock and Vib Digest, 22(7) (1990) 3-17.
14. A. Nosier and R. K. Kapania and J. N. Reddy, Free vibration analysis of laminated plates using a layer wise theory, AIAA. J. 8 (1993) 2335-2346.
15. D. Haojiang and et al, Free axisymmetric vibration of transversely isotropic piezoelectric circular plates, Int. J. Solids Struct. 36 (1999) 4629-4652.
16. H. Deresiewicz and R. D. Mindlin, Axially symmetric flexural vibration of a circular disc, J. Appl. Mech. 22 (1995) 86-88.
17. H. Deresiewicz, Symmetric flexural vibration of a clamped circular disc, J. Appl. Mech. 23 (1956) 319.
18. X. Liu and Q. Wang and S. T. Quek, Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates, Int J. Solids Strut. 39 (2002) 2129-2151.
19. S. Kapuria and P. C. Dumir, Geometrically nonlinear axisymmetric response of thin circular plate under piezoelectric actuation, J. Sound Vib. 10 (2005) 413-4123.
20. W. H. Duan and S. T. Quek and Q. Wang, Free vibration of piezoelectric coupled thin and thick annular plate, J. Sound Vib. 281 (2005) 119-139.
21. A. Almajid and M. Taya and S. Hudunt, Analysis of out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure, Int. J. Solids Struct. 38 (2001) 3377-3391.
22. C. P. Fung, Imperfection sensitivity in the nonlinear vibration of functionally graded plates, Euro. J. Mech. A/Solids. 25 (2005) 425-4236.
23. J. J. Hsieh and L. T. Lee, An inverse problem for a functionally graded elliptical plate with large deflection and slightly distributed boundary, Int. J. Solids Struct. 43 (2006) 5981-5993.
24. T. Parakash and M. Ganapathi, Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method, Composite. B 37 (2006) 642-649.
25. J. Yang and S. Kitipornchai and K. M. Liew, Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plate, Comput. Meth. Appl. Mech. 192 (2003) 3861-3885.
26. Q. Wang and S. T. Quek and X. Liu, Analysis of piezoelectric coupled circular plate, Smart. Mater. Struct. 10 (200) 229-239.
27. D. O. Brush and B. O. Almroth, Buckling of Bars Plates and Shells, McGraw-Hill, New York, (1975).
28. J. N. Reddy, Theory and Analysis of Elastic Plates, Taylor and Francis, Philadelphia, (1999).
29. L. Meirovitch, Principles and Techniques of Vibrations, Prentice-Hall, international Inc, (1997).
30. D. Halliday and R. Resniek, Physics, Jhon Wiley and Sons, (1978).
31. H. F. Tiersten, Linear Piezoelectric Plate Vibrations, Plenum press, New York, (1978).
32. J. N. Reddy and G. N. Praveen, Nonlinear transient thermoelastic analysis of functionally graded ceramic- metal plate, Int. J. Solids Struct. 35 (1998) 4457-4476.
33. R. C. Wetherhold and S. S. Wang, The use of functionally graded materials to eliminate or control thermal deformation, Composites Sci Tech. 6 (1996) 1099-1104.