Volume Fraction Law for Stainless Steel on Inner Surface and Nickel on Outer Surface For FGM Cylindrical Shell
Vibration of thin cylindrical shells made of a
functionally gradient material composed of stainless steel and nickel
is presented. The effects of the FGM configuration are studied by
studying the frequencies of FG cylindrical shells. In this case FG
cylindrical shell has Nickel on its outer surface and stainless steel on
its inner 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. Results are
presented on the frequency characteristics, the influence of the
constituent various volume fractions on the frequencies.
[1] Arnold, R.N., Warburton, G.B., 1948. Flexural vibrations of the walls of
thin cylindrical shells. Proceedings of the Royal Society of London A;
197:238-256.
[2] Ludwig, A., Krieg, R., 1981.An analysis quasi-exact method for
calculating eigen vibrations of thin circular shells. J. Sound vibration;
74,155-174.
[3] Chung, H., 1981. Free vibration analysis of circular cylindrical shells. J.
Sound vibration; 74, 331-359.
[4] 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.
[5] Forsberg, K., 1964. Influence of boundary conditions on modal
characteristics of cylindrical shells. AIAA J; 2, 182- 189.
[6] Lam, K.L., Loy, C.T., 1995. Effects of boundary conditions on
frequencies characteristics for a multi- layered cylindrical shell. J. Sound
vibration; 188, 363-384.
[7] Loy, C.T., Lam, K.Y., 1996.Vibration of cylindrical shells with ring
support. I.Joumal of Impact Engineering; 1996; 35:455.
[8] Koizumi, M., 1993. The concept of FGM Ceramic Transactions,
Functionally Gradient Materials.
[9] 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).
[10] Anon, 1996.FGM components: PM meets the challenge. Metal powder
Report. 51:28-32.
[1] Arnold, R.N., Warburton, G.B., 1948. Flexural vibrations of the walls of
thin cylindrical shells. Proceedings of the Royal Society of London A;
197:238-256.
[2] Ludwig, A., Krieg, R., 1981.An analysis quasi-exact method for
calculating eigen vibrations of thin circular shells. J. Sound vibration;
74,155-174.
[3] Chung, H., 1981. Free vibration analysis of circular cylindrical shells. J.
Sound vibration; 74, 331-359.
[4] 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.
[5] Forsberg, K., 1964. Influence of boundary conditions on modal
characteristics of cylindrical shells. AIAA J; 2, 182- 189.
[6] Lam, K.L., Loy, C.T., 1995. Effects of boundary conditions on
frequencies characteristics for a multi- layered cylindrical shell. J. Sound
vibration; 188, 363-384.
[7] Loy, C.T., Lam, K.Y., 1996.Vibration of cylindrical shells with ring
support. I.Joumal of Impact Engineering; 1996; 35:455.
[8] Koizumi, M., 1993. The concept of FGM Ceramic Transactions,
Functionally Gradient Materials.
[9] 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).
[10] Anon, 1996.FGM components: PM meets the challenge. Metal powder
Report. 51:28-32.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:56773", author = "M.Hosseinjani Zamenjani and A.R.Tahmasebi Birgani and M.R.Isvandzibaei", title = "Volume Fraction Law for Stainless Steel on Inner Surface and Nickel on Outer Surface For FGM Cylindrical Shell", abstract = "Vibration of thin cylindrical shells made of a
functionally gradient material composed of stainless steel and nickel
is presented. The effects of the FGM configuration are studied by
studying the frequencies of FG cylindrical shells. In this case FG
cylindrical shell has Nickel on its outer surface and stainless steel on
its inner 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. Results are
presented on the frequency characteristics, the influence of the
constituent various volume fractions on the frequencies.", keywords = "Nickel, Stainless Steel, Cylindrical shell.", volume = "5", number = "3", pages = "619-4", }