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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1016/0375-9474(91)90290-m

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1573-8795

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Parametric vibration of cylindrical shells in the

Authors: R E Kochurov K V Avramov
Publish Date: 2011/03/16
Volume: 174, Issue: 3, Pages: 283-294
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Abstract

We consider a problem of nonlinear parametric vibrations of a cylindrical shell The vibrations are described by the Donnell–Mushtari–Vlasov equations Motions are expanded in the modes of natural vibrations of the shell A dynamic system with six degrees of freedom is obtained by the Bubnov–Galerkin method The system is investigated by the method of multiple scales The solution of the problem is represented with the use of amplitude–frequency characteristics

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