%0 Journal Article
%T Elastic Analysis of Rotating Thick Truncated Conical Shells Subjected to Uniform Pressure Using Disk Form Multilayers
%A Mohammad Zamani Nejad
%A Mehdi Jabbari
%A Mehdi Ghannad
%J ISRN Mechanical Engineering
%D 2014
%R 10.1155/2014/764837
%X Using disk form multilayers, an elastic analysis is presented for determination of displacements and stresses of rotating thick truncated conical shells. The cone is divided into disk layers form with their thickness corresponding to the thickness of the cone. Due to the existence of shear stress in the truncated cone, the equations governing disk layers are obtained based on first shear deformation theory (FSDT). These equations are in the form of a set of general differential equations. Given that the truncated cone is divided into n disks, n sets of differential equations are obtained. The solution of this set of equations, applying the boundary conditions and continuity conditions between the layers, yields displacements and stresses. The results obtained have been compared with those obtained through the analytical solution and the numerical solution. 1. Introduction Scientists have paid an enormous amount of attention to shells, resulting in numerous theories about their behavior of different kinds of shells. Truncated conical shells have widely been applied in many fields such as space fight, rocket, aviation, and submarine technology. The literature that addresses the stresses of thick conical shells is quite limited. Most of the existing literature deals with the stress or vibration analysis of thin conical shells and is based upon a thin shell or membrane shell theory. Using the first shear deformation theory, Mirsky and Hermann [1] derived the solution of thick cylindrical shells of homogenous and isotropic materials. Assuming the cone is to be long and the angle of the lateral side with a horizontal plane is great, Hausenbauer and Lee [2] without considering shear stresses obtained the radial, tangential, and axial wall stresses in a thick-walled cone under internal and/or external pressure. Raju et al. [3] introduced a conical element for analysis of conical shells. Using the shear deformation theory and Frobenius series, Takahashi et al. [4] obtained the solution of free vibration of conical shells. Sundarasivarao and Ganesan [5] analyzed a conical shell under pressure using the finite element method. Based on bending theory, Tavares [6] determined the stresses, strains, and displacements of a thin conical shell with constant thickness and axisymmetric load by the construction of a Green¡¯s function. Cui et al. [7] used a new transformation for solving the governing equations of thin conical shells. The obtained equation is an ordinary differential equation with complex coefficients. Wu and Chiu [8] investigated thermally induced dynamic
%U http://www.hindawi.com/journals/isrn.mechanical.engineering/2014/764837/