On the theory of stability of cylindrical thin-walled shells under the action of external pressure

DOI10.1016/0021-8928(81)90047-2zbMath0519.73036OpenAlexW2056714111MaRDI QIDQ1054511

A. N. Guz'

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90047-2

zbMATH Keywords

relationscharacteristic equationKirchhoff-Love hypothesisuniform external pressuresymmetric operator matrixfollower loadasymptotic analysis of rootselastic, thin-walled circular cylindrical shellsfundamental system of differential equationshinged shelllinearized, two dimensional theorysmall subcritical deformationssolutions for follower and dead load coincidesubcritical membrane statesubcritical state determined according to geometrically linear theory

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Membranes (74K15)

Cites Work

• On the stability of elastic compressible bodies under all-around compression
• Stability of elastic bodies under omnilateral compression
• Stability of elastic incompressible bodies under isotropic compression
• Establishing the Fundamentals of the Theory of Stability of Mine Workings
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