Parametric vibrations of cylindrical shells subject to geometrically nonlinear deformation: multimode models

The nonlinear parametric vibrations of cylindrical shell are described by the Donnell–Mushtari–Vlasov equations. The motions are represented as a mode expansion. Discretization is performed using the Bubnov–Galerkin method. The describing-function method is used to study traveling waves and nonlinea...

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Bibliographic Details
Published inInternational applied mechanics Vol. 46; no. 9; pp. 1010 - 1018
Main Authors Kochurov, R. E., Avramov, K. V.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.02.2011
Subjects
Applications of Mathematics
Classical Mechanics
Cylindrical shells
Discretization
Dissipation
Mathematical analysis
Mathematical models
Nonlinearity
Physics
Physics and Astronomy
Traveling waves
Vibration
Donnell–Mushtari–Vlasov equations
multimode model
describing function method
parametric vibrations
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Summary:The nonlinear parametric vibrations of cylindrical shell are described by the Donnell–Mushtari–Vlasov equations. The motions are represented as a mode expansion. Discretization is performed using the Bubnov–Galerkin method. The describing-function method is used to study traveling waves and nonlinear normal modes in systems with and without dissipation
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-011-0392-y