Averaging in vibration suppression by parametric stiffness excitation
type: Item
instance of: scholarly article
title: Averaging in vibration suppression by parametric stiffness excitation
zbMATH Open document ID: 1191.70011
author: Fadi Dohnal
author: Ferdinand Verhulst
published in: Nonlinear Dynamics
publication date: 2009-09-11T00:00:00Z
review text: The main purpose of this work is to explore the stability of a self-excited weakly damped system under the influence of a parametric stiffness excitation close to a parametric combination freuqency. First- and second-order averaging of the stability of self-excited and parametrically excited two degrees of freedom systems is investigated. The necessity of a second-order approximation is emphasized for two mechanical example systems that were studied in the literature before. This study explains in great detail how a parametric excitation with a certain freqency, can effectively stabilize a self-excited system that has only a single unstable mode of vibration which corresponds to one negative damping coefficient. The presence of the instability domains raises interesting questions regarding the behaviour of the mechanical models for the corresponding values of the parameters.
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 70K65
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 5603301
zbMATH Keywords: parametric excitation
zbMATH Keywords: self-excitation
zbMATH Keywords: vibration suppression
zbMATH Keywords: dynamic stability
zbMATH Keywords: perturbation technique
describes a project that uses: RODAS
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s11071-007-9325-z
OpenAlex ID: W2090686201
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DOI: 10.1007/S11071-007-9325-Z
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description: scientific article; zbMATH DE number 5603301