Forced vibrations in one-dimensional nonlinear viscoelasticity (Q1176424)
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scientific article; zbMATH DE number 14142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Forced vibrations in one-dimensional nonlinear viscoelasticity |
scientific article; zbMATH DE number 14142 |
Statements
Forced vibrations in one-dimensional nonlinear viscoelasticity (English)
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25 June 1992
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The existence of time-periodic weak solutions to an integro-differential equation pertaining to the problem is proved by constructing invariant regions for a parabolic system arising as a viscosity regularization of the original problem.
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sequence of approximate viscosity time-periodic solutions
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Schauder fixed point technique
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compensated compactness
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motion of one-dimensional body
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string
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bar
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undistorted reference configuration
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existence of time- periodic weak solutions
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invariant regions
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parabolic system
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viscosity regularization
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0.9391377
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0.9363806
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0.89374506
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0.89197236
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0.89109915
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