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Difference methods for the solution of a dynamic problem of the theory of elastic shells. (Russian) Zbl 0524.73088

The problem of determining the stress and deformation state of a cylindrical shell with axial loading by an external pressure pulse is studied. The problem is formulated due to the shell theory of Timoshenko-type in terms of shift and stress velocity, but also in the traditional way for shifts. Evident two- and three-layer difference schemes are constructed for the numerical integration of the boundary value problems considered, and their convergence is shown strictly. Results of the computation of parameters of wave fields in a concrete shell construction are given for different load conditions.
Reviewer: E. Ihle

MSC:

74S20 Finite difference methods applied to problems in solid mechanics
74K25 Shells
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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