Free Vibration Characteristics of Rotating Functionally Graded Porous Circular Cylindrical Shells with Different Boundary Conditions

Abstract

The free vibration of rotating functionally graded porous (FGP) circular cylindrical shell with different boundary conditions is presented analytically in this study. The porous material properties are assumed to be graded in the thickness direction of the cylindrical shell according to three types of porosity distributions. By using Love’s shell theory and Hamilton’s principle, the governing equations of the rotating FGP cylindrical shell are derived, in which the effects of the centrifugal and Coriolis forces due to rotation are also taken into account. The natural frequencies of the rotating FGP cylindrical shell structure subjected to different boundary conditions are determined by applying Galerkin’s method together with beam functions of longitudinal mode functions. To validate the present results, comparisons between the results of the present method and previous studies are performed; a very good agreement is achieved. Besides, some influences of porous material properties, boundary conditions, circumferential wave number, geometric parameters, Coriolis acceleration, rotating speed on natural frequency as well as critical speed of the rotating FGP cylindrical shell are given.