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Buckling under the external pressure of cylindrical shells with variable thickness. (English) Zbl 1176.74070
Summary: This study focuses on the buckling of cylindrical shells with small thickness variations under external pressure. Asymptotic formulas in terms of the thickness non-uniformity parameter are derived by the combined perturbation and Bubnov-Galerkin methods. In addition to the analytic investigation based on the thin shell theory, a numerical analysis is also performed. Results from these formulas are discussed and compared with those obtained by other authors.

74G60 Bifurcation and buckling
74K25 Shells
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