Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach

J. Awrejcewicz, A. V. Krys'ko

Research output: Contribution to journalArticle

44 Citations (Scopus)

Abstract

The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.

Original languageEnglish
Pages (from-to)495-504
Number of pages10
JournalArchive of Applied Mechanics
Volume73
Issue number7
DOIs
Publication statusPublished - 1 Dec 2003
Externally publishedYes

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Galerkin methods
Partial differential equations

Keywords

  • Bubnov-Galerkin method
  • Chaotic vibration
  • Lyapunov exponent
  • Poincaré section
  • Runge-Kutta method
  • Shell

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

Cite this

Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach. / Awrejcewicz, J.; Krys'ko, A. V.

In: Archive of Applied Mechanics, Vol. 73, No. 7, 01.12.2003, p. 495-504.

Research output: Contribution to journalArticle

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