International Applied Mechanics

, Volume 46, Issue 9, pp 1010–1018 | Cite as

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 nonlinear normal modes in systems with and without dissipation


parametric vibrations multimode model Donnell–Mushtari–Vlasov equations describing function method 


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© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.National Technical University “Kharkov Polytechnic Institute”KharkovUkraine
  2. 2.A. N. Podgornyi Institute for Problems of Mechanical EngineeringNational Academy of Sciences of UkraineKharkivUkraine

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