Spatial dynamic problem of elasticity theory for parallelepiped (Q2808417)
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scientific article; zbMATH DE number 6584009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spatial dynamic problem of elasticity theory for parallelepiped |
scientific article; zbMATH DE number 6584009 |
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23 May 2016
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regularity and solvability of infinite system
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asymptotics
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Spatial dynamic problem of elasticity theory for parallelepiped (English)
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The paper dwells on a three-dimensional elasticity problem for a rectangular parallelepiped in the case of steady-state forced vibrations. The superposition method is used to reduce the problem to an infinite system of linear algebraic equations for the coefficients of double Fourier series. The quasi-regularity of the system is proved and the existence of its bounded solution is shown. The asymptotic behavior of unknowns in the infinite system is studied. The method is illustrated by several numerical examples.
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