An Investigation on the Influence of Transverse Shear and Rotary Inertia on Vibration and Buckling of Functionally Graded Cylindrical Shells

摘要

In this paper, free vibration and buckling analysis of functionally graded cylindrical shells subjected to combined static and periodic axial forces is presented considering the effect of transverse shear and rotary inertia. Material properties of functionally graded cylindrical shells are considered as temperature dependent and graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. Numerical results for silicon nitride-nickel cylindrical shells are presented based on two different methods of first-order shear deformation theory (FSDT) considering the transverse shear strains and the rotary inertias and the classical shell theory (CST). The results obtained show that the effect of transverse shear and rotary inertias on free vibration and buckling of functionally graded cylindrical shells subjected to combined static and periodic axial forces is dependent on the material composition, the temperature environment, the amplitude of static load, the deformation mode, and the shell geometry parameters.