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``Nonlinear normal modes'' and the generalized Ritz method in the problems of vibrations of nonlinear elastic continuous systems - MaRDI portal

``Nonlinear normal modes'' and the generalized Ritz method in the problems of vibrations of nonlinear elastic continuous systems (Q1051498)

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scientific article; zbMATH DE number 3813076
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English
``Nonlinear normal modes'' and the generalized Ritz method in the problems of vibrations of nonlinear elastic continuous systems
scientific article; zbMATH DE number 3813076

    Statements

    ``Nonlinear normal modes'' and the generalized Ritz method in the problems of vibrations of nonlinear elastic continuous systems (English)
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    1983
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    natural vibrations
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    nonlinear elastic systems
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    approximate solution
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    truncated series
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    set of functions of spatial variables is unknown
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    generalization of Ritz method
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    variations of normal mode shapes
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    natural frequencies
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    two examples
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    beams with nonlinear boundary conditions
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    amplitude-frequency relation
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    Identifiers

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