Natural frequency analysis of functionally graded material truncated conical shell with lengthwise material variation based on first-order shear deformation theory

Abstract

Based on the First order Shear Deformation Theory (FSDT), the free vibration of the functionally graded (FG) truncated conical shells is analyzed. The truncated conical shell materials are assumed to be isotropic and inhomogeneous in the longitudinal direction. The twoconstituent (FG) shell consists of ceramic and metal. These constituents are graded through the length, from one end of the shell to the other end. Using Hamilton's principle the derived governing equations are solved using Differential Quadrature Method (DQM). Fast rate of convergence of this method is tested and its advantages over other existing solver methods are observed. The primary results of this study were obtained for four different ends boundary conditions and for some special cases acquire results were compared with those available in the * Graduate Student † Corresponding author, (Ali.Asanjarani@Gmail.com) Downloaded by [University of Connecticut] at 20:02 11 April 2015 ACCEPTED MANUSCRIPT ACCEPTED MANUSCRIPT 2 literature. Furthermore, effects of geometrical parameters, material graded power index, and boundary conditions on the natural frequencies of the FG truncated conical shell are carried out.