S. H. Arshad/M. N. Naeem/N. Sultana/Z. Iqbal/A. G. Shah
The Journal of Mechanical Science and Technology, vol. 24, no. 3, pp.805-810, 2010

Abstract : In this analysis, a comparative study for natural frequencies of two-layered cylindrical shells was presented with one layer composed of functionally graded material and the other layer of isotropic material. Love’s thin shell theory was exploited for the straindisplacement and curvature-displacement relationships. For governing frequency equations, the Rayleigh-Ritz method was utilized to minimize the Lagrangian functional in the form of an eigenvalue problem. Frequency spectra were computed for long, short, thick, and thin cylindrical shells by varying the nondimensional geometrical parameters, length-to-radius and thickness-to-radius ratios for a simply supported end condition. Influence of different configurations of cylindrical shells on the shell frequencies was studied. For validity, the results obtained were compared with some results of isotropic and single-layered functionally graded cylindrical shells from the literature.

Keyword : Functionally graded materials; Isotropic material; Cylindrical shells; Love’s thin shell theory; Rayleigh-Ritz method