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Forced vibrations in one-dimensional nonlinear viscoelasticity - MaRDI portal

Forced vibrations in one-dimensional nonlinear viscoelasticity (Q1176424)

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scientific article; zbMATH DE number 14142
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English
Forced vibrations in one-dimensional nonlinear viscoelasticity
scientific article; zbMATH DE number 14142

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    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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