Comparison of Two Kinds of Functionally Graded Cylindrical Shells with Various Volume Fraction Laws for Vibration Analysis

In this paper, a study on the vibration of thin cylindrical shells made of a functionally gradientmaterial (fgm) composed of stainless steel and nickel is presented. the effects of the fgmconfiguration are taken into account by studying the frequencies of two fg cylindrical shells.type i fg cylindrical shell has nickel on its inner surface and stainless steel on its outer surfaceand type ii fg cylindrical shell has stainless steel on its inner surface and nickel on its outersurface. the study is carried out based on third order shear deformation shell theory (tsdt). theobjective is to study the natural frequencies, the influence of constituent volume fractions and theeffects of configurations of the constituent materials on the frequencies. the properties are gradedin the thickness direction according to the volume fraction power-law distribution. the analysis iscarried out with strains-displacement relations from love's shell theory. the governing equationsare obtained using energy functional with the rayleigh-ritz method. results are presented on thefrequency characteristics and the influences of constituent various volume fractions for type i andii fg cylindrical shells and simply supported boundary conditions on the frequencies.