Study of acoustics interaction of shells filled with fluid (Q2831345)
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scientific article; zbMATH DE number 6647283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Study of acoustics interaction of shells filled with fluid |
scientific article; zbMATH DE number 6647283 |
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2 November 2016
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projection-mesh scheme
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acoustic interaction
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Timoshenko-Mindlin shells
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Galerkin semidiscretization
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0.9058977
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0.9012849
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0.8844783
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0.8814548
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0.8671073
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0.8635535
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0.86041045
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0.8555357
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0.8552829
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Study of acoustics interaction of shells filled with fluid (English)
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The authors propose a mathematical model of acoustic interaction of a revolution shell filled with a fluid in the case of axisymmetric loading. The model is based on the linear relations of the Timoshenko-Mindlin shells and the acoustic approximation of a fluid. An initial boundary value problem and the corresponding variational problem on two media interaction are formulated. For the solution of the variational problem of the acoustic interaction between the revolution shell and the fluid, a projection-mesh scheme is constructed. This scheme incorporates Galerkin semidiscretization together with approximations by spatial variables of finite element method and one-step recurrent scheme of time integration. The shell stress-strain state under normal hydrostatic pressure is analyzed. The obtained numerical results are compared with the known analytical solution.
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