Application Free Vibration for Two Type Functionally Graded Cylindrical Shell Composed of Stainless Steel and Nickel Under Clamped-Clamped Boundary Conditions

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– Study on the vibration of cylindrical shell made of a functionally gradient material (FGM) composed of stainless steel and nickel is presented. The effects of the FGM configuration are studied by studying the frequencies of two FGM cylindrical shells. Type I FGM cylindrical shell has Nickel on its inner surface and stainless steel on its outer surface and Type II FGM cylindrical shell has stainless steel on its inner surface and nickel on its outer surface. The study is carried out based on third order shear deformation shell theory. The objective is to study the natural frequencies, the influence of constituent volume fractions and the effects of configurations of the constituent materials on the frequencies. The properties are graded in the thickness direction according to the volume fraction power-law distribution. The governing equations are obtained using energy functional with the Rayleigh-Ritz method. The boundary conditions in this cylindrical shell made of two material is clamped-clamped. Results are presented on the frequency characteristics, the influence of the constituent various volume fractions on the frequencies for a Type I, II FGM cylindrical shell
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Stainless Steel; Nickel; FGM; Simply Support

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Arnold R. N., Warburton G. B., 1948. Flexural vibrations of the walls of thin cylindrical shells. Proceedings of the Royal Society of London A; 197:238-56.

Ludwig A., Krieg R., 1981. An analysis quasi-exact method for calculating eigen vibrations of thin circular shells. J. Sound vibration; 74, 155-174.

Chung H., 1981. Free vibration analysis of circular cylindrical shells. J. Sound vibration; 74, 331-359.

Soedel W., 1980. A new frequency formula for closed circular cylindrical shells for a large variety of boundary conditions. J. Sound vibration; 70, 309-317.

Forsberg K., 1964. Influence of boundary conditions on modal characteristics of cylindrical shells. AIAA J; 2, 182- 189.

Bhimaraddi A., 1984. A higher order theory for free vibration analysis of circular cylindrical shells. Int, J. Solids Structures; 20, 623-630.

Soldatos K. P., 1984. A comparison of some shell theories used for the dynamic analysis of cross-ply laminated circular cylindrical panels. J. Sound vibration; 97, 305-319.

Bert C. W., Kumar M., 1982.vibration of cylindrical shell of biomodulus composite materials. J. Sound vibration; 81,107-121.

Soldatos K. P., 1984. A comparison of some shell theories used for the dynamic analysis of cross-ply laminated circular cylindrical panels. J. Sound vibration; 97, 305-319.

Makino A, Araki N, Kitajima H, Ohashi K. Transient temperature response of functionally gradient material subjected to partial, stepwise heating. Transactions of the Japan Society of Mechanical Engineers, Part B 1994; 60:4200-6(1994).

Koizumi M., 1993. The concept of FGM Ceramic Transactions, Functionally Gradient Materials; 1993; 14, 3-10.

Anon, 1996. FGM components: PM meets the challenge. Metal powder Report. 51:28-32.

Obata Y., Noda N., 1994. Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. Journal of Thermal stresses; 17:471-87.

Takezono S., Tao K., Inamura E., Inoue M., 1996. Thermal stress and deformation in functionally graded material shells of revolution under thermal loading due to fluid. JSME International Journal of Series A: Mechanics and Material Engineering; 39:573-81.

Wetherhold R. C., Seelman S., Wang J. Z., 1996. Use of functionally graded materials to eliminate or control thermal deformation. Composites Science and Technology; 56:1099-104.

Zhang X. D., Liu D. Q., Ge C. C., 1994.Thermal stress analysis of axial symmetry functionally gradient materials under steady temperature field. Journal of Functional Materials; 25:452-5.

Yamanouchi M., Koizumi M., Hirai T., Shiota I. Proceedings of the First International Symposium on Functionally Gradient Materials, Japan ; 1990; pp. 327-332.

Najafizadeh M. M., Isvandzibaei M. R., 2007. Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support. Acta Mechanica; 191:75-91.

Loy C. T., Lam K. Y., Reddy J. N., 1998.Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences; 41(1999), 309-324.

Soedel W., 1981. Vibration of shells and plates. MARCEL DEKKER, INC, New York.


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