NDLI: Numerical analysis of axisymmetric buckling of conical shells

Content Provider	Springer Nature Link
Author	Shkutin, L. I.
Copyright Year	2001
Abstract	Nonlinear boundary‐value problems of axisymmetric buckling of conical shells under a uniformly distributed normal pressure are solved by the shooting method. The problems are formulated for a system of six first‐order ordinary differential equations with independent rotation and displacement fields. Simply supported and clamped cases are considered. Branching solutions of the boundary‐value problems are studied for different pressures and geometrical parameters of the shells. The nonmonotonic and discontinuous curves of equilibrium states obtained show that collapse, i.e., snap‐through instability is possible. For a simply supported shell, multivalued solutions are obtained for both external and internal pressure. For a clamped thin‐walled shell, theoretical results are compared with experimental data.
Starting Page	1057
Ending Page	1063
Page Count	7
File Format	PDF
ISSN	00218944
Journal	Journal of Applied Mechanics and Technical Physics
Volume Number	42
Issue Number	6
e-ISSN	15738620
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2001-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanics, Fluids, Thermodynamics Mechanics Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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