%0 Journal Article
%T An Analytical Procedure for Buckling Load Determination of an Axisymmetric Cylinder with Non-Uniform Thickness Using Shear Deformation Theory
%J AUT Journal of Mechanical Engineering
%I Amirkabir University of Technology
%Z 2588-2945
%A Mahboubi Nasrekani, F.
%A Eipakchi, H. R.
%D 2017
%\ 12/01/2017
%V 1
%N 2
%P 211-218
%! An Analytical Procedure for Buckling Load Determination of an Axisymmetric Cylinder with Non-Uniform Thickness Using Shear Deformation Theory
%K Buckling load
%K Cylindrical shell
%K Varying thickness
%K Shear deformation theory
%K Perturbation technique
%R 10.22060/mej.2017.12557.5364
%X In this article, the buckling load of an axisymmetric cylindrical shell with a variablethickness is determined analytically by using the perturbation method. The loading is axial and thematerial properties are defined by the Hooke’s law. The displacement field is predicted by using thefirst order shear deformation theory and the nonlinear von-Karman relations are used for the kinematicdescription of the shell. The stability equations, which are the system of nonlinear differential equationswith variable coefficients, are derived by the virtual work principle and are solved using the perturbationtechnique. Also, the buckling load is determined by using the finite element method and it is comparedwith the analytical solution results, the classical shell theory, and other references. The effects of linearand nonlinear shell profiles variation on the axial buckling load are investigated. Also, we studied theeffects of geometric parameters on the buckling load results. The results show that the first order sheardeformation theory is more useful for buckling load determination of thicker shells.
%U https://ajme.aut.ac.ir/article_2751_40c3631ca18291500241313c75ee630d.pdf