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Approximate backbone curves for nonlinear systems with several degrees of freedom (Q788513)

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scientific article; zbMATH DE number 3843215
Language Label Description Also known as
English
Approximate backbone curves for nonlinear systems with several degrees of freedom
scientific article; zbMATH DE number 3843215

    Statements

    title
    Approximate backbone curves for nonlinear systems with several degrees of freedom (English)
    0 references
    author
    Farouk Badrakhan
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    publication date
    1983
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    review text
    The author considers nonlinear systems involving damping subject to periodic excitations. The object to the paper is to discover maximum amplitudes. This is done by developing the Krylov-Bogolyubov method for forced normal modes and considering resonance. The fact that, at resonance, displacements are proportional enables approximations to be constructed to backbone curves and limit cycles out of linear elements.
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    zbMATH Keywords
    maximum amplitudes
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    Krylov-Bogolyubov method
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    backbone curves
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    limit cycles
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    Identifiers

    zbMATH DE Number
    3843215
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    OpenAlex ID
    W2000054747
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