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Numerical analysis of axisymmetric buckling of conical shells

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Journal of Applied Mechanics and Technical Physics Aims and scope

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.

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  1. Institute of Computer Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 630090

    L. I. Shkutin

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  1. L. I. Shkutin
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Shkutin, L.I. Numerical analysis of axisymmetric buckling of conical shells. Journal of Applied Mechanics and Technical Physics 42, 1057–1063 (2001). https://doi.org/10.1023/A:1012582315216

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