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

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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 language	English
Pages (from-to)	495-504
Number of pages	10
Journal	Archive of Applied Mechanics
Volume	73
Issue number	7
DOIs	https://doi.org/10.1007/s00419-003-0303-8
Publication status	Published - 1 Dec 2003
Externally published	Yes

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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

Awrejcewicz, J., & Krys'ko, A. V. (2003). Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach. Archive of Applied Mechanics, 73(7), 495-504. https://doi.org/10.1007/s00419-003-0303-8

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Access to Document

10.1007/s00419-003-0303-8