Nonlinear free and forced thermo-electro-aero-elastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells, Part I: Theory and analytical solutions

Composite Structures

Volumn 103, Issue , 2013, Pages 179-187

  Rafiee, Mohammad ^a   Mohammadi, Mohsen ^b   Sobhani Aragh, B ^a   Yaghoobi, Hessameddin ^c  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

^c ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Aerodynamic; Functionally graded material; Nonlinear vibration; Perturbation; Piezoelectric; Primary resonance

Indexed keywords

FUNCTIONALLY GRADED MATERIAL SHELLS; NON-LINEAR DYNAMICAL ANALYSIS; NON-LINEAR VIBRATIONS; NONLINEAR DYNAMIC BEHAVIORS; PERTURBATION; PIEZOELECTRIC; PRIMARY RESONANCE; THIRD-ORDER PISTON THEORIES;

AERODYNAMIC LOADS; AERODYNAMICS; BEAMS AND GIRDERS; CIRCUIT RESONANCE; FUNCTIONALLY GRADED MATERIALS; GALERKIN METHODS; LAMINATED COMPOSITES; PIEZOELECTRICITY; SHELLS (STRUCTURES); VIBRATIONS (MECHANICAL);

DYNAMIC RESPONSE;

EID: 84878440143     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2012.12.053     Document Type: Article

References (27)

1. Haddadpour H., Mahmoudkhani S., Navazi H.M. Free vibration analysis of functionally graded cylindrical shells including thermal effects. Thin-Wall Struct 2007, 45:591-599.
2. Ansari R., Darvizeh M. Prediction of dynamic behavior of FGM shells under arbitrary boundary conditions. Compos Struct J 2008, 85:284-292.
3. Tornabene F. 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 2009, 198:2911-2935.
4. Zhao X., Lee Y.Y., Liew K.M. Thermoelastic and vibration analysis of functionally graded cylindrical shells. Int J Mech Sci 2009, 51:694-707.
5. Sheng G.G., Wang X. Studies on dynamic behavior of functionally graded cylindrical shells with PZT layers under moving loads. J Sound Vib 2009, 323:772-789.
6. Matsunaga H. Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory. Compos Struct J 2009, 88:519-531.
7. Li S.R., Fu X.H., Batra R.C. Free vibration of three-layer circular cylindrical shells with functionally graded middle layer. Mech Res Commun 2010, 37:577-580.
8. Vel S.S. Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells. Compos Struct J 2010, 92:2712-2727.
9. Sheng G.G., Wang X. Thermoelastic and buckling analysis of functionally graded piezoelectric cylindrical shells. Appl Math Modell 2010, 34:2630-2643.
10. Tornabene F. 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution. Compos Struct 2011, 93:1854-1876.
11. Yas M.H., Sobhani Aragh B. Three-dimensional analysis for thermoelastic response of functionally graded fiber reinforced cylindrical panel. Compos Struct 2010, 92:2391-2399.
12. Sobhani Aragh B., Yas M.H. Three-dimensional free vibration of functionally graded fiber orientation and volume fraction cylindrical panels. Mater Des 2010, 31:4543-4552.
13. Sobhani Aragh B., Nasrollah Barati A.H., Hedayati H. Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels. Compos Part B: Eng 2012, 43:1943-1954.
14. Sobhani Aragh B., Hedayati H., Borzabadi Farahani E., Hedayati M. A novel 2-D six-parameter power-law distribution for free vibration and vibrational displacements of two-dimensional functionally graded fiber-reinforced curved panels. Eur J Mech -A/Solids 2011, 30:865-883.
15. Sobhani Aragh B., Yas M.H. Three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced cylindrical panels resting on Pasternak foundations. Arch Appl Mech 2011, 81:1759-1779.
16. Javanbakht M., Shakeri M., Sadeghi S.N., Daneshmehr A.R. The analysis of functionally graded shallow and non-shallow shell panels with piezoelectric layers under dynamic load and electrostatic excitation based on elasticity. Eur J Mech - A/Solids 2011, 30:983-991.
17. Rafiee M., Kalhori H. Large amplitude free and forced oscillations of functionally graded beams. Mech Adv Mater Struct 2012, 10.1080/15376494.2012.680670.
18. Shooshtari A., Rafiee M. Nonlinear forced vibration analysis of clamped functionally graded beams. Acta Mech 2011, 221:23-38.
19. Rafiee M., Yang J., Kitipornchai S. Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers. Compos Struct 2012, 96:716-725.
20. Yaghoobi H., Fereidoon A., Shahsiah R. Thermal buckling of axial functionally graded thin cylindrical shell. J Therm Stress 2011, 34:1250-1270.
21. Liew K.M., Yang J., Kitipornchai S. Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading. Int J Solids Struct 2003, 40(15):3869-3892.
22. Zhang D.G., Zhou Y.H. A theoretical analysis of FGM thin plates based on physical neutral surface. Comput Mater Sci 2008, 44:716-720.
23. Amabili M. Nonlinear vibrations and stability of shells and plates 2008, Cambridge University Press.
24. Sobhani Aragh B., Zeighami A., Rafiee M., Yas M.H. 3-D thermo-elastic solution for continuously graded isotropic and fiber-reinforced cylindrical shells resting on two-parameter elastic foundations. Appl Math Model 2013, 10.1016/j.apm.2013.01.005.
25. Mareishi S., Mohammadi M., Rafiee M. An analytical study on thermally induced vibration analysis of FG beams using different HSDTs. Appl Mech and Mater 2013, 249:784-791.
26. Nayfeh A.H., Mook D.T. Nonlinear oscillations 1979, John Wiley, New York.
27. Bich D.H., Nguyen N.X. Nonlinear vibration of functionally graded circular cylindrical shells based on improved Donnell equations. J Sound Vib 2012, 10.1016/j.jsv.2012.07.024.