Free Vibration Analysis of Functionally Graded Truncated Conical Shell with Lengthwise Material Variation

Based on the First order Shear Deformation Theory (FSDT) this paper focuses on the vibrational behavior of functionally graded (FG) truncated conical shells. The materials are assumed to be isotropic and inhomogeneous in the axial direction of conical shell. The two-constituent (FG) shell consists of ceramic and metal. These constituents are graded through the length, from one end of the shell to the other end. The derived governing equations are solved using Differential Quadrature Method (DQM). The primary results of this study were compared primarily with those available in the literatures. In this work, the vibration characteristics of simply supported boundary condition for both ends for FG truncated conical shells are obtained in terms of various circumferential wave numbers. Furthermore, the effect of the geometrical properties on the natural frequency is also examined.