Free vibration analysis of sandwich cylindrical panel with functionally graded core using three-dimensional theory of elasticity

Composite Structures

Volumn 113, Issue 1, 2014, Pages 23-30

  Alibeigloo, A ^a   Liew, K M ^b  

^a TARBIAT MODARES UNIVERSITY   (Iran)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

3D elasticity; FGM; Free vibration; Sandwich panel; State space

Indexed keywords

ELASTICITY; EQUATIONS OF MOTION; FOURIER SERIES; FUNCTIONALLY GRADED MATERIALS; HONEYCOMB STRUCTURES; SANDWICH STRUCTURES; STATE SPACE METHODS; VIBRATION ANALYSIS;

3D ELASTICITY; FREE VIBRATION; FREE-VIBRATION ANALYSIS; POWER LAW DISTRIBUTION; SANDWICH PANEL; THREE-DIMENSIONAL FREE VIBRATIONS; THREE-DIMENSIONAL THEORY OF ELASTICITY; TWO-DIMENSIONAL THEORY;

THREE DIMENSIONAL;

EID: 84900798166     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2014.03.004     Document Type: Article

References (29)

1. Gipson G.S. Determinantal Rayleigh-Ritz expressions for natural frequencies of sandwich panels with orthotropic face plates. Math Comput Model 1989, 12:169-180.
2. Xia Z.Q., Lukasiewicz S. Non-linear analysis of damping properties cylindrical sandwich panels. J Sound Vibrat 1995, 186:55-69.
3. Singh A.V. Free vibration analysis of deep doubly curved sandwich panels. Comput Struct 1999, 73:385-394.
4. Chakrabarti A., Bera R.K. Nonlinear vibration and stability of a shallow unsymmetrical orthotropic sandwich shell of double curvature with orthotropic core. Comput Math Appl 2002, 43:1617-1630.
5. Khare R.K., Kant T., Garg A.K. Free vibration of composite and sandwich laminates with a higher-order facet shell element. Compos Struct 2004, 65:405-418.
6. Kashtalyan M., Menshykova M. Three-dimensional elasticity solution for sandwich panels with a functionally graded core. Compos Struct 2009, 87:36-43.
7. Moreira R.A.S., Dias Rodrigues J. Static and dynamic analysis of soft core sandwich panels with through-thickness deformation. Compos Struct 2010, 92:201-215.
8. Rahmani O., Khalili S.M.R., Malekzadeh K. Free vibration response of composite sandwich cylindrical shell with flexible core. Compos Struct 2010, 92:1269-1281.
9. Biglari H., Jafari A.A. High-order free vibrations of doubly-curved sandwich panels with flexible core based on a refined three layered. Compos Struct 2010, 92:2685-2694.
10. Sobhani Aragh B., Yas M.H. Effect of continuously grading fiber orientation face sheets on vibration of sandwich panels with FGM core. Int J Mech Sci 2011, 53:628-638.
11. Mohhamadi F., Sedaghati R. Linear and nonlinear vibration analysis of sandwich cylindrical shell with constrained viscoelastic core layer. Int J Mech Sci 2012, 54:156-171.
12. Kumar A., Chakrabarti A., Bhargava P., Sobhy M. Vibration of laminated composites and sandwich shells based on higher order zigzag theory. Eng Struct 2013, 56:880-888.
13. Sobhy M. Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions. Compos Struct 2013, 99:76-87.
14. Yas M.H., Pourasghar A., Kamarian S., Heshmati M. Three-dimensional free vibration analysis of functionally graded nanocomposite cylindrical panels reinforced by carbon nanotube. Mater Des 2013, 49:583-590.
15. Dozio L. Natural frequencies of sandwich plates with FGM core via variable-kinematic 2-D Ritz models. Compos Struct 2013, 96:561-568.
16. Neves A.M.A., Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Jorge R.M.N., et al. Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique. Composites: Part B 2013, 44:657-674.
17. Alibeigloo A., Kani A.M. 3D free vibration analysis of laminated cylindrical shell integrated piezoelectric layers using the differential quadrature method. Appl Math Model 2010, 34:4123-4137.
18. Alibeigloo A. Free vibration analysis of nano-plate using three-dimensionaltheory of elasticity. Acta Mech 2011, 222:149-159.
19. Alibeigloo A., Kani A.M., Pashaei M.H. Elasticity solution for the free vibration analysis of functionally graded cylindrical shell bonded to thin piezoelectric layers. Int J Press Vessels Pip 2012, 89:98-111.
20. Alibeigloo A. Three-dimensional free vibration analysis of multi-layered graphene sheets embedded in elastic matrix. J Vib Control 2012, 19(16):2357-2371.
21. Alibeigloo A. Free vibration analysis of functionally graded carbon nanotube reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity. Eur J Mech A Solid 2014, 44:104-115.
22. Zhang L.W., Zhu P., Liew K.M. Thermal buckling of functionally graded plates using a local Kriging meshless method. Compos Struct 2014, 108:472-492.
23. Zhang L.W., Lei Z.X., Yu J.L., Liew K.M. Static and dynamic analysis of carbon nanotube reinforced composite cylindrical panels. Compos Struct 2014, 111:205-212.
24. Zhu P., Zhang L.W., Liew K.M. Geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation. Compos Struct 2014, 107:298-314.
25. Liew K.M., Lei Z.X., Yu J.L., Zhang L.W. Post buckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Comput Methods Appl Mech Eng 2014, 268:1-17.
26. Ferreira A.J.M., Batra R.C., Roque C.M.C., Qian L.F., Martins P.A.L.S. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Compos Struct 2005, 69:4449-4457.
27. Ferreira A.J.M., Batra R.C., Roque C.M.C., Qian L.F., Jorge R.M.N. Natural frequencies of functionally graded plates by a meshless method. Compos Struct 2006, 75:593-600.
28. Zhang L.W., Deng Y.J., Liew K.M. An improved element-free Galerkin method for numerical modeling of the biological population problems. Eng Anal Boundary Elem 2014, 40:181-188.
29. Bodaghi M., Shakeri M. An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads. Compos Struct 2012, 94:1721-1735.