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Application of third order shear deformation theory in buckling analysis of 2D-functionally graded cylindrical shell reinforced by axial stiffeners
Affiliation:1. Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran;2. School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;3. Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;4. Young Researchers and Elite Club, Arak Branch, Islamic Azad University, Arak, Iran;1. Department of Chemical Engineering, Lee Kong Chian Faculty of Engineering and Science, Universiti Tunku Abdul Rahman, Jalan Genting Kelang, 53300 Setapak, Kuala Lumpur, Malaysia;2. Radiation Processing Technology Division, Malaysian Nuclear Agency, Bangi, 43000 Kajang, Selangor, Malaysia;3. Department of Mechanical Engineering, University of New Orleans, New Orleans, LA 70148, USA;4. Department of Polymer Engineering, Faculty of Chemical Engineering, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia;1. College of Materials Science and Engineering, Nanjing University of Science and Technology, Jiangsu, Nanjing, 210094, PR China;2. School of Materials Engineering, Yancheng Institute of Technology, Jiangsu, Yancheng, 224051, PR China;1. Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, Beijing Key Laboratory of Bio-Inspired Energy Materials and Devices, School of Chemistry and Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, PR China;3. AFM, School of Aerospace, Tsinghua University, Beijing 100084, PR China;4. China Academy of Machinery of Science & Technology, Beijing 100044, PR China;1. Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano SA, Italy;2. Institute of Materials Science and Technology, Vienna University of Technology, Favoritenstrasse 9-11, A-1040 Vienna, Austria
Abstract:This paper presents buckling analysis of a two-dimensional functionally graded cylindrical shell reinforced by axial stiffeners (stringer) under combined compressive axial and transverse uniform distributive load. The shell material properties are graded in the direction of thickness and length according to a simple power law distribution in terms of the volume fractions of the constituents. Primarily, the third order shear deformation theory (TSDT) is used to derive the equilibrium and stability equations. Since there is no closed form solution, the numerical differential quadrature method, (DQM), is applied for solving the stability equations. Initially, the obtained results for an isotropic shell using DQM were verified against those given in the literature for simply supported boundary conditions. The effects of load, geometrical and stringer parameters along with FG power index in the various boundary conditions on the critical buckling load have been studied. The study of results confirms that, stringers have significant effects on critical buckling load.
Keywords:Buckling  Numerical analysis  Two-dimensional functionally graded cylindrical shell
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