Vibration analysis of piezoelectric FGM sensors using an accurate method

International Journal of Mechanical Sciences

Volumn 53, Issue 8, 2011, Pages 585-594

  Eshaghi, M ^a   Hashemi, Sh Hosseini ^a   Fadaee, M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

FGM; Piezoelectric; Sandwich structures

Indexed keywords

CLOSED FORM; COUPLED EQUATION; DIFFERENT BOUNDARY CONDITION; ELECTROSTATIC EQUATION; FREE-VIBRATION ANALYSIS; GRADIENT INDEXES; HAMILTONS; IN-PLANE; KIRCHHOFF THEORY; MATERIAL PROPERTY; MODERATELY THICK; OPEN CIRCUITS; PIEZOELECTRIC; PIEZOELECTRIC LAYERS; POWER LAW DISTRIBUTION; TRANSVERSE DISPLACEMENTS;

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; MAXWELL EQUATIONS; MINDLIN PLATES; NATURAL FREQUENCIES; PIEZOELECTRICITY; SENSORS;

VIBRATION ANALYSIS;

EID: 79960018097     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2011.05.005     Document Type: Article

References (28)

1. R.D. Mindlin Influence of rotary inertia and shear on flexural motions of isotropic elastic plates J Appl Mech 18 1951 A31 A38
2. Yamanouchi M, Koizumi M, Hirai T, Shiota I. In: Proceedings of the first international symposium on functionally gradient materials, Sendai, Japan, 1990.
3. M. Koizumi The concept of FGM Am Ceram Soc Trans 34 1993 3 10
4. A. Allahverdizadeh, M.H. Naei, and M.N. Bahrami Nonlinear free and forced vibration analysis of thin circular functionally graded plates J Sound Vib 310 2008 966 984
5. Sh Hosseini-Hashemi, H. Akhavan, H. Rokni Damavandi Taher, N. Daemi, and A. Alibeigloo Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation Mater Des 31 4 2010 1871 1880
6. S.H. Hosseini-Hashemi, H. Rokni Damavandi Taher, and H. Akhavan Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations Compos Struct 92 2010 1734 1743
7. E. Efraim, and M. Eisenberger Exact vibration analysis of variable thickness thick annular isotropic and FGM plates J Sound Vib 299 2007 720 738 (Pubitemid 44692287)
8. F. Tornabene Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution Comput Methods Appl Mech Eng 198 2009 2911 2935
9. T. Prakash, and M. Ganapathi Asymmetric flexural vibration and thermoelastic stability of FG circular plates using finite element method Composites B 37 2006 642 649 (Pubitemid 44128904)
10. G.J. Nie, and Z. Zhong Vibration analysis of functionally graded annular sectorial plates with simply supported radial edges Compos Struct 84 2 2008 167 176 (Pubitemid 351396254)
11. Q. Wang, S.T. Quek, C.T. Sun, and X. Liu Analysis of piezoelectric coupled circular plate Smart Mater Struct 10 2001 229 239 (Pubitemid 32427064)
12. X. Liu, Q. Wang, and S.T. Quek Analytical solution for free vibration of piezoelectric coupled moderately thickness circular plates Int J Solids Struct 39 2002 2129 2151 (Pubitemid 34557469)
13. W.H. Duan, S.T. Quek, and Q. Wang Free vibration analysis of piezoelectric coupled thin and thick annular plate J Sound Vib 281 2005 119 139 (Pubitemid 40120677)
14. Sh Hosseini-Hashemi, M. Eshaghi, and H. Rokni Damavandi Taher An exact analytical solution for freely vibrating piezoelectric coupled circular/annular thick plates using Reddy plate theory Compos Struct 92 2010 1333 1351
15. Sh Hosseini Hashemi, M. Eshaghi, and M. Karimi Closed-form solution for free vibration of piezoelectric coupled annular plates using Levinson plate theory J Sound Vib 329 2010 1390 1408
16. G. Chevallier, S. Ghorbel, and A. Benjeddou A benchmark for free vibration and effective coupling of thick piezoelectric smart structures Smart Mater Struct 17 2008 065007
17. C.F. Liu, and Y.T. Lee Finite element analysis of three-dimensional vibrations of thick circular and annular plates J Sound Vib 233 2000 63 80
18. E. Pan, and P. Heyliger Free vibration of simply supported and multilayered magneto-electro-elastic plates J Sound Vib 252 2002 429 443
19. P. Heyliger, and D.A. Saravanos Exact free vibration analysis of laminated plates with embedded piezoelectric layers J Acoust Soci Am 98 1995 1547 1557
20. H. Ding, R. Xu, and W. Chen Exact solutions for free vibration of transversely isotropic piezoelectric circular plates Chin J Mech Press 16 2000 141 147
21. F. Ebrahimi, A. Rastgoo, and M.H. Kargarnovin Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers J Mech Sci Technol 22 2008 1058 1072
22. F. Ebrahimi, A. Rastgoo, and A.A. Atai A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate Eur J Mech A Solids 28 2009 962 973
23. Sh Hosseini Hashemi, M. Eshaghi, and M. Karimi Closed-form vibration analysis of thick annular functionally graded plates with integrated piezoelectric layers Int J Mech Sci 52 2010 410 428
24. N. Wu, Q. Wang, and S.T. Quek Free vibration analysis of piezoelectric coupled circular plate with open circuit J Sound Vib 329 2010 1126 1136
25. M.R. Speigel Mathematical handbook of formulas and tables. Schaums outline series 1999 McGraw-Hill Singapore
26. L.R. Corr, and WW. Clark Comparison of low-frequency piezoelectric switching shunt techniques for structural damping Smart Mater Struct 11 2002 370 376 (Pubitemid 34758946)
27. S.S. Vel, and R.C. Batra Exact solution for rectangular sandwich plates with embedded piezoelectric shear actuators AIAA J 39 2001 1363 1373 (Pubitemid 32644902)
28. R.C. Batra, and X.Q. Liang The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators Comput Struct 63 1997 203 216 (Pubitemid 127379341)