Three-dimensional free vibration of functionally graded truncated conical shells subjected to thermal environment

International Journal of Pressure Vessels and Piping

Volumn 89, Issue , 2012, Pages 210-221

  Malekzadeh, P ^a   Fiouz, A R ^a   Sobhrouyan, M ^a  

^a PERSIAN GULF UNIVERSITY   (Iran)

Author keywords

3D elasticity; Differential quadrature; Free vibration; Functionally graded materials; Thermal environment; Truncated conical shells

Indexed keywords

3D ELASTICITY; DIFFERENTIAL QUADRATURE; FREE VIBRATION; FUNCTIONALLY GRADED; THERMAL ENVIRONMENT; TRUNCATED CONICAL SHELL;

DIFFERENTIATION (CALCULUS); ELASTICITY; FUNCTIONALLY GRADED MATERIALS; MATERIALS PROPERTIES; NUMERICAL METHODS; SHELLS (STRUCTURES); TEMPERATURE DISTRIBUTION; THREE DIMENSIONAL;

VIBRATION ANALYSIS;

EID: 83955163632     PISSN: 03080161     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpvp.2011.11.005     Document Type: Article

References (39)

1. Sankaranarayanan N., Chandrasekaran K., Ramaiyan G. Free vibrations of laminated conical shells of variable thickness. J Sound Vib 1988, 123:357-371.
2. Tong L. Free vibration of orthotropic conical shells. Int J Eng Sci 1993, 31:719-733.
3. Korjakin A., Rikards R., Chate A., Altenbach H. Analysis of free vibrations of composite laminated conical shells. Compos Struct 1998, 41:39-47.
4. Hu H.T., Ou S.C. Maximization of the fundamental frequencies of laminated truncated conical shells with respect to fiber orientations. Compos Struct 2001, 52:265-275.
5. Liew K.M., Ng T.Y., Zhao X., Reddy J.N. Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells. Comput Meth Appl Mech Eng 2002, 191:4141-4157.
6. Liew K.M., Ng T.Y., Zhao X. Free vibration analysis of conical shells via the element-free kp-Ritz method. J Sound Vib 2005, 281:627-645.
7. Viswanathan K.K., Navaneethakrishnan P.V. Free vibration of layered truncated conical shell frusta of differently varying thickness by the method of collocation with cubic and quintic splines. Int J Solids Struct 2005, 42:1129-1150.
8. Civalek O. An efficient method for free vibration analysis of rotating truncated conical shells. Int J Press Vessels Pip 2006, 83:1-12.
9. Zhao X., Li Q., Liew K.M., Ng T.Y. The element-free kp-Ritz method for free vibration analysis of conical shell panels. J Sound Vib 2006, 295:906-922.
10. Civalek O. Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: discrete singular convolution (DSC) approach. J Comput Appl Math 2007, 205:251-271.
11. Tripathi V., Singh B.N., Shukla K.K. Free vibration of laminated composite conical shells with random material properties. Compos Struct 2007, 81:96-104.
12. Liang S., Chen H.L., Chen T., Wang M.Y. The natural vibration of a symmetric cross-ply laminated composite conical-plate shell. Compos Struct 2007, 80:265-278.
13. Malekzadeh P., Farid M., Zahedinejad P., Karami G. Three-dimensional free vibration analysis of thick cylindrical shells resting on two-parameter elastic supports. J Sound Vib 2008, 313:655-675.
14. Kerboua Y., Lakis A.A., Hmila M. Vibration analysis of truncated conical shells subjected to flowing fluid. Appl Math Model 2010, 34:791-809.
15. Reddy J.N., Chin C.D. Thermomechanical analysis of functionally graded cylinders and plates. J Thermal Stresses 1998, 21:593-626.
16. Loy C.T., Lam K.Y., Reddy J.N. Vibration of functionally graded cylindrical shells. Int J Mech Sci 1999, 41:309-324.
17. Pradhan S.C., Loy C.T., Reddy J.N. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Appl Acoust 2000, 61:111-129.
18. Patel B.P., Gupta S.S., Loknath M.S., Kadu C.P. Free vibration analysis of functionally graded elliptical cylindrical shells using higher-order theory. Compos Struct 2005, 69:259-270.
19. Kadoli R., Ganesan K. Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition. J Sound Vib 2006, 289:450-480.
20. Cao Z., Wang H. Free vibration of FGM cylindrical shells with holes under various boundary conditions. J Sound Vib 2007, 306:227-237.
21. Haddadpour H., Mahmoudkhani S., Navazi H.M. Free vibration analysis of functionally graded cylindrical shells including thermal effects. Thin-Walled Struct 2007, 45:591-599.
22. Matsunaga H. Free vibration and stability of functionally graded shallow shells according to a 2-D higher-order deformation theory. Compos Struct 2008, 84:132-146.
23. 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 Desi 2010, 31:2-13.
24. Sobhani Aragh B., Yas M.H. Three-dimensional free vibration of functionally graded fiber orientation and volume fraction cylindrical panels. Mater Desi 2010, 31:4543-4552.
25. Santos H., Mota Soares C.M., Mota Soares C.A., Reddy J.N. A semi-analytical finite element model for the analysis of cylindrical shells made of functionally graded materials. Compos Struct 2009, 91:427-432.
26. Bhangale R.K., Ganesan K., Padmanabhan C. Linear thermo elastic buckling and free vibration behaviour of functionally graded truncated conical shells. J Sound Vib 2006, 292:341-371.
27. Tornabene F., Viola E., Inman D.J. 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures. J Sound Vib 2009, 328:259-290.
28. Tornabene F. Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution. Comput Meth Appl Mech Eng 2009, 198:2911-2935.
29. Sofiyev A.H. The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure. Compos Struct 2009, 89:356-366.
30. Zhao X, Liew KM. Free vibration analysis of functionally graded conical shell panels by a meshless method. Compos Struct, doi:10.1016/j.compstruct.2010.08.014.
31. Sofiyev A.H., Korkmaz K.A., Mammadov Z., Kamanli M. The vibration and buckling of freely supported non-homogeneous orthotropic conical shells subjected to different uniform pressures. Int J Press Vessels Pip 2009, 86:661-668.
32. Sofiyev A.H., Karaca Z. The vibration and buckling of laminated non-homogeneous orthotropic conical shells subjected to external pressure. Eur J Mech A-Solids 2009, 28:317-328.
33. Sofiyev A.H., Kuruoglu N., Halilov H.M. The vibration and stability of non-homogeneous orthotropic conical shells with clamped edges subjected to uniform external pressures. Appl Math Model 2010, 34:1807-1822.
34. Malekzadeh P., Golbahar Haghighi M.R., Atashi M.M. Out-of-plane free vibration of functionally graded circular curved beams in thermal environment. Compos Struct 2010, 92:541-552.
35. Malekzadeh P., Shahpari S.A., Ziaee H.R. Three-dimensional free vibration of thick functionally graded annular plates in thermal environment. J Sound Vib 2010, 329:425-442.
36. Bert C.W., Malik M. Differential quadrature method in computational mechanics: a review. Appl Mech Rev 1996, 49:1-27.
37. Kim Y.W. Temperature dependent vibration analysis of functionally graded rectangular plates. J Sound Vib 2005, 284:531-549.
38. Markus S. The mechanics of vibrations of cylindrical shells 1988, Elsevier, New York.
39. Civalek O., Gurses M. Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique. Int J Press Vessels Pip 2009, 86:677-683.