Analytical Buckling Analysis of Cylindrical Shells with Elliptic Cross Section Subjected to External Pressure

DOI10.1007/978-3-030-17747-8_3zbMath1467.74025OpenAlexW2975791278MaRDI QIDQ5131264

A. A. Diskovsky, Igor I. Andrianov

Publication date: 5 November 2020

Published in: Advanced Structured Materials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-17747-8_3

zbMATH Keywords

eigenvalue problemperturbation methodVlasov modelstability equationeigenvalue upper bound

Mathematics Subject Classification ID

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

Cites Work

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• Nonlinear behaviour and stability of thin-walled shells
• Buckling behaviour of elliptical cylindrical shells and tubes under compression
• Geometric methods in the theory of stability of thin shells (review)
• Initial collapse of braced elliptical tubes under lateral compression
• Stability of cylindrical shells of oval cross section in the bending state of stress
• Stresses in Short Noncircular Cylindrical Shells Under Lateral Pressure
• Analytical investigation of buckling of a cylindrical shell subjected to nonuniform external pressure
• Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions

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