Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

Numerical analysis of the nonlinear boundary problems on axisymmetric buckling of shells

Shkutin L.I.

ICM SB RAS (Krasnoyarsk)

The shooting method is used to solve nonlinear boundary problems on axisymmetric buckling of the dome-like shells under hydrostatic pressure. The problems are formulated with the singular system of six ordinary differential equations of the first order. Simple support and clamping are considered as two variants of the boundary conditions. Depending on pressure and shell parameters the bifurcation of boundary problems solutions is studied, the multivalued and discontinual curves of equilibrium states are obtained. The curves show possibility of the catastrophe by shapping. In case of simple support there are regions of the multivalued solutions not only by external, but also by internal pressure. The comparison of the theoretical and experimental data is given for the clamped conical dome.

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Note. Abstracts are published in author's edition

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