Three-Dimensional Free Vibration Analysis and Critical Speed of Pressurized Rotating Functionally Graded Cylindrical Shells

摘要

This paper presents an approximate solution for the free vibration analysis of rotating functionally graded cylindrical shells based on the three-dimensional theory, using layerwise theory. Equations of motion are derived by applying Hamilton's principle. In order to accurately account for the thickness effects, the layerwise theory is used to discretize the equations of motion and the related boundary conditions through the thickness of the shells. The edges of the shell are restrained by simply supported boundary conditions. Material properties are assumed graded in the thickness direction according to a simple power-law distribution in terms of the volume fraction of the constituents. The results obtained include the relationship between frequency characteristics, different material properties, power-law index, rotating velocities and amplitude of internal pressure. In order to validate the present analysis, the comparison is made with the other published works for a cylindrical shell obtained from CLT to TSDT. In addition, another comparison is made with non-rotating isotropic cylindrical shell based on 3D theory. These comparisons confirm reliability of the present work as a measure to approximate solutions to the problem of rotating functionally graded cylindrical shells.