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Effect of Geometrical Parameters on Natural Frequencies of FGM Cylindrical shell with Holes Under Various Boundary Conditions

Authors: Mostafa Ghayour, Mohammad Sadegh Golabi


In the recent years, functionally gradient materials (FGMs) have gained considerable attention in the high temperature environment applications. In this paper, free vibration of thin functionally graded cylindrical shell with hole composed of stainless steel and zirconia is studied. The mechanical properties vary smoothly and continuously from one surface to the other according to a volume fraction power-law distribution. The Influence of shell geometrical parameters, variations of volume fractions and boundary conditions on natural frequency is considered. The equations of motion are based on strains-displacement relations from Love-s shell theory and Rayleigh method. The results have been obtained for natural frequencies of cylindrical shell with holes for different shape, number and location in this paper.

Keywords: Vibration, various boundary conditions, Functionally gradient material, cylindrical shells

Digital Object Identifier (DOI):

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[1] Koizumi M., Functionally gradient materials the concept of FGM. Ceramic Transactions, Vol (34), 1993;pp 3-10
[2] Anon, FGM components: PM meets the challenge. Metal Powder Report, Vol 51, 1996; pp 28-32..
[3] Ootao Y., Tanigawa Y., Nakamura T., Optimization of material composition of FGM hollow circular cylinder under thermal loading: a neural network approach, Composites Part B 30 (1999) 415-422.
[4] Kadoli R., Ganesan N., Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature specified boundary condition, Journal of Sound and Vibration 289 (2006) 450-480.
[5] Loy C.T., Lam K.Y., Reddy J.N., Vibration of functionally graded cylindrical shells, International Journal of Mechanical Sciences 41 (1999) 309-324
[6] Prandhan S.C., Loy C.T., Lam K.Y., Reddy J.N., Vibration characteristics of FGM cylindrical shells under various boundary condition, Applied Acoustics 61 (2000) 111-129
[7] Shah A.G., Mohmood T., Naeem M.N., Vibrations of FGM thin cylindrical shells with exponential volume fraction law, Applied Mathematics and Mechanics, 30(5), (2009), 607-615
[8] Patel B.P., Gupla S.S., Moknath M.S., Free vibration analysis of FGM elliptical cylindrical shells, Composite Structure, 69 , (2005), 259-270
[9] Zhi-yuan C., Hua-ning W., Free vibration of FGM cylindrical shells with holes under various boundary conditions, Journal of Sound and Vibration 306 (2007) 227-237
[10] Shahsiah R., Eslami M.R., Thermal buckling of functionally graded cylindrical shell, Journal of Thermal Stresses 26 (2003) 277-294.
[11] Touloukian YS. Thermo physical properties of high temperature solid materials. New York: Macmillan, 1967.
[12] Love AEH. A treatise on the mathematical theory of elasticity. 4th Ed. Cambridge: Cambridge University Press, 1952,
[13] Roa S.S., Vibration of continuous systems, John Wiley & Sons, Inc., Hoboken, New Jersey, 2007, 540-605