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Andrianov, Igor I.

Analytical investigation of buckling of a cylindrical shell subjected to nonuniform external pressure. (English) Zbl 1445.74019

Math. Mech. Solids 24, No. 3, 874-883 (2019).
Summary: An analytical algorithm is proposed for studying the stability of a cylindrical shell subjected to nonuniform external pressure. The algorithm is based on a perturbation procedure and Padé approximants. Unlike the commonly used perturbation method, this approach is not limited by the smallness of the perturbation parameter. The approximate formulas obtained are sufficiently accurate and can be used in engineering practice.

Cited in 3 Documents

MSC:

74G60 Bifurcation and buckling
74K25 Shells
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics

Keywords:

momentless theory; semi-moment theory; regular asymptotics; Padé approximant
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References:

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