An asymptotic method for solving non-stationary dynamic contact problems for an acoustic layer (Q2761297)
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scientific article; zbMATH DE number 1683349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An asymptotic method for solving non-stationary dynamic contact problems for an acoustic layer |
scientific article; zbMATH DE number 1683349 |
Statements
18 December 2001
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acoustic layer
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contact problem
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asymptotic technique
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Wiener-Hopf method
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rigid die
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force
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die displacement
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Laplace-Fourier transform
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integral equations of second kind
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successive approximation
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An asymptotic method for solving non-stationary dynamic contact problems for an acoustic layer (English)
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The author treats a contact problem on penetration of a rigid die in an acoustic layer. It is assumed that the half-width of the die exceeds the thickness of the acoustic layer. The author solves this problem by asymptotic technique. The formulas are obtained which relate the force acting on the die with the die displacement. The author also derives the motion law for a massive die on elastic layer in the case when the die possesses an initial velocity at the initial moment.
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