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Research on nonlinear torsional buckling and post-buckling of eccentrically stiffened functionally graded thin circular cylindrical shells
Affiliation:1. Mechanical Engineering Department, Persian Gulf University, Bushehr 75168, Iran;2. Civil Engineering Department, Persian Gulf University, Bushehr 75168, Iran;3. Administration of Roads and Urban Development, Bushehr, Iran;1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, People''s Republic of China;2. School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, People''s Republic of China;3. School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bag 1797, Penrith, NSW 2751, Australia;1. Vietnam National University, Hanoi, Vietnam;2. University of Transport Technology, Hanoi, Vietnam
Abstract:This paper is presented to solve the nonlinear buckling and post-buckling problem of functionally graded stiffened thin circular cylindrical shells only under torsion by the analytical approach. The shells are reinforced by rings and stringers attached to their inside and the material properties of shell and the stiffeners are assumed to be continuously graded in the thickness direction. Theoretical formulations based on the smeared stiffeners technique and the classical shell theory with the geometrical nonlinearity in von Karman sense are derived. Approximate three-term solution of deflection is chosen more correctly and the explicit expression to finding critical load and post-buckling torsional load–deflection curves are given. The effects of various parameters and the effectiveness of stiffeners on the stability of shell are shown.
Keywords:Functionally graded material  A. Discontinuous reinforcement  B. Buckling  B. Elasticity  C. Analytical modelling
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