An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads

Composite Structures

Volumn 94, Issue 5, 2012, Pages 1721-1735

  Bodaghi, M ^a   Shakeri, M ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Analytical solution; Cylindrical panel; Free vibration; Functionally graded piezoelectric material; Impulsive load; Transient response

Indexed keywords

ANALYTICAL SOLUTIONS; CYLINDRICAL PANELS; FREE VIBRATION; FUNCTIONALLY GRADED PIEZOELECTRIC MATERIAL; IMPULSIVE LOADS;

DYNAMIC RESPONSE; EQUATIONS OF MOTION; FOURIER SERIES; INVERSE PROBLEMS; LAPLACE TRANSFORMS; MAXWELL EQUATIONS; PIEZOELECTRICITY; SURFACES; TRANSIENT ANALYSIS;

POWER QUALITY;

EID: 84858709758     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2012.01.009     Document Type: Article

References (32)

1. Lee H.J. Layerwise laminate analysis of functionally graded piezoelectric bimorph beams. J Intell Mater Syst Struct 2005, 16(4):365-371.
2. Wu C.C.M., Kahn M., Moy W. Piezoelectric ceramics with functional gradients: a new application in material design. J Am Ceram Soc 1996, 79(3):809-812.
3. Chen W.Q., Lu Y., Ye G.R., Cai B.J. 3D electroelastic fields in functionally graded piezoceramic hollow sphere under mechanical and electric loadings. Arch Appl Mech 2002, 72:39-51.
4. Wu X.H., Chen C., Shen Y.P., Tian X.G. A high order theory for functionally graded piezoelectric shells. Int J Solid Struct 2002, 39:5325-5344.
5. Wu X.H., Shen Y.P., Chen C. An exact solution for functionally graded piezothermoelastic cylindrical shell as sensors or actuators. Mater Lett 2003, 57:3532-3542.
6. Wu C.P., Syu Y.S. Exact solutions of functionally graded piezoelectric shells under cylindrical bending. Int J Solid Struct 2007, 44:6450-6472.
7. Tsai Y.H., Wu C.P. Dynamic responses of functionally graded magneto-electro-elastic shells with open-circuit surface conditions. Int J Eng Sci 2008, 46:843-857.
8. Wu C.P., Tsai Y.H. Cylindrical bending vibration of functionally graded piezoelectric shells using the method of perturbation. J Eng Math 2009, 63:95-119.
9. Sedighi M.R., Shakeri M. A three-dimensional elasticity solution of functionally graded piezoelectric cylindrical panels. Smart Mater Struct 2009, 18:1-12.
10. Dai H.L., Xiao X., Fu Y.M. Analytical solutions of stresses in functionally graded piezoelectric hollow structures. Solid State Commun 2010, 150:763-767.
11. Wang Y., Xu R.Q., Ding H.J. Analytical solutions of functionally graded piezoelectric circular plates subjected to axisymmetric loads. Acta Mech 2010, 215:287-305.
12. Sheng G.G., Wang X. Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells. Appl Math Modell 2010, 34:2630-2643.
13. Wu CP., Tsai TC. Exact solutions of functionally graded piezoelectric material sandwich cylinders by a modified Pagano method. Appl Math Modell 2012, 36:1910-1930.
14. Zhong Z., Yu T. Vibration of a simply supported functionally graded piezoelectric rectangular plate. Smart Mater Struct 2006, 15:1404-1412.
15. Yang J., Xiang H.J. Thermo-electro-mechanical characteristics of functionally graded piezoelectric actuators. Smart Mater Struct 2007, 16:784-797.
16. Zhang T.T., Shi Z.F., Spencer B.F. Vibration analysis of a functionally graded piezoelectric cylindrical actuator. Smart Mater Struct 2008, 17:1-7.
17. Behjat B., Salehi M., Sadighi M., Armin A., Abbasi M. Static, dynamic, and free vibration analysis of functionally graded piezoelectric panels using finite element method. J Intell Mater Syst Struct 2009, 20:1635-1646.
18. Babaei M.H., Chen Z.T. The transient coupled thermo-piezoelectric response of a functionally graded piezoelectric hollow cylinder to dynamic loadings. Proc Roy Soc, Part: A 2010, 466:1077-1091.
19. Akbarzadeh A.H., Babaei M.H., Chen Z.T. The thermo-electromagnetoelastic behavior of a rotating functionally graded piezoelectric cylinder. Smart Mater Struct 2011, 20:1-11.
20. Doroushi A., Eslami M.R., Komeili A. Vibration analysis and transient response of an FGPM beam under thermo-electro-mechanical loads using higher-order shear deformation theory. J Intell Mater Syst Struct 2011, 22:231-243.
21. Behjat B., Khoshravan M.R. Geometrically nonlinear static and free vibration analysis of functionally graded piezoelectric plates. Compos Struct 2012, 94:874-882.
22. Sofiyev A.H. The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure. Compos Struct 2009, 89:356-366.
23. Sofiyev A.H. Dynamic response of an FGM cylindrical shell under moving loads. Compos Struct 2010, 93:58-66.
24. Toorani M.H., Lakis A.A. General equations of anisotropic plates and shells including transverse shear deformation, rotary inertia and initial curvature effects. J Sound Vib 2000, 237(4):561-615.
25. Wu N., Wang Q., Quek S.T. Free vibration analysis of piezoelectric coupled circular plate with open circuit. J Sound Vib 2010, 329:1126-1136.
26. Tiersten H.F. Linear piezoelectric plate vibration 1969, Plenum, New York.
27. Kreyszig E. Advanced engineering mathematics 2006, John Wiley, New York.
28. Farid M., Zahedinejad P., Malekzadeh P. Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method. Mater Des 2010, 31:2-13.
29. Pradyumna S., Bandyopadhyay J.N. Free vibration analysis of functionally graded curved panels using a higher-order finite element formulation. J Sound Vib 2008, 318:176-192.
30. Akbarzadeh A.H., Hosseini zad S.K., Eslami M.R., Sadighi M. Mechanical behaviour of functionally graded plates under static and dynamic loading. Proc IMechE Part C: J Mech Eng Sci 2010, 225:326-333.
31. Yang J. Especial topics in the theory of piezoelectricity 2009, Springer, New York.
32. Abrate S. Transient response of beams, plates, and shells to impulsive loads. In: Proceedings of IMECE2007, ASME international mechanical engineering congress and exposition, Washington; 2007.