Singular perturbation analysis of the buckling of circular cylindrical shells |
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| Affiliation: | 1. Laboratoire des Propriétés Mécaniques et Thermodynamiques des Matériaux, Institut Galilée, Université Paris-Nord, Avenue j.-b. Clément, 93430 Villetaneuse, France;2. Laboratoire de Mécanique et d''Acoustique, CNRS, 31, chemin Joseph Aiguier, 13402 Marseille cedex 20, France;1. Hamburg University of Technology, Am Schwarzenberg-Campus 4, 21073 Hamburg, Germany;2. Institute of Structural Analysis, Leibniz Universität Hannover, Appelstrasse 9A, 30167 Hannover, Germany;1. Department of Mechanical Engineering, Saad Dahlab University, BP 270 Route de Soumaa, Blida, Algeria;2. Laboratoire de Mécanique des Solides, Ecole polytechinque, 91128 Palaiseau, France;1. DLR, Institute of Composite Structures and Adaptive Systems, Lilienthalplatz 7, 38108 Braunschweig, Germany;2. UNSW, University of New South Wales, High St, Kensington, NSW 2052, Australia;3. PFH, Private University of Applied Sciences Göttingen, Composite Engineering Campus Stade, Germany |
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| Abstract: | This paper deals with the buckling of thin cylindrical shells with very large Batdorf parameters under external pressure. We first perform a simplified analysis from which we obtain explicit formulae for the critical load. An asymptotic analysis is carried out with a view to determining the effects of the boundary conditions on the critical loads and buckling shapes. The inverse of the Batdorf parameter is the convenient small parameter of the analysis. Among the whole set of boundary conditions, the axial boundary conditions are found to be have crucially important at the first order. This analysis also shows the existence of boundary layers in which the remaining boundary conditions are only significant at the second order, at the very most. |
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