Mechanisms of Taming Chaos in Stick-slip Vibrations of Forced-self-excited Mechanical Systems with Dry Friction

This study evaluates the effects of weak harmonic perturbations applied to a mechanical system with dry sliding parts that exhibits both chaotic and periodic stick-slip vibrations. A previously published model of such a system was tested in numerical simulations. Since the trajectories of the stick-...

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Bibliographic Details
Published inShisutemu Seigyo Jouhou Gakkai rombunshi Vol. 37; no. 6; pp. 151 - 157
Main Authors Kato, Hideyuki, Kato, Kaito, Karube, Shu, Asahara, Hiroyuki, Kousaka, Takuji
Format Journal Article
LanguageEnglish
Published THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE) 15.06.2024
Subjects
forced-self-excited system
stick-slip vibrations
taming chaos
weak harmonic perturbations
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Summary:This study evaluates the effects of weak harmonic perturbations applied to a mechanical system with dry sliding parts that exhibits both chaotic and periodic stick-slip vibrations. A previously published model of such a system was tested in numerical simulations. Since the trajectories of the stick-slip vibrations in the system include removal discontinuities, we use a technique based on the Poincaré map for analysis. This analysis reveals that weak harmonic perturbations induce a shift of the bifurcation points in agreement with several previous studies, which suggests a mechanism for taming the chaotic behavior of the system. Our results indicate that taming the chaotic behavior in mechanical systems with discontinuities can be addressed with weak harmonic perturbations.
ISSN:1342-5668
2185-811X
DOI:10.5687/iscie.37.151