Mechanisms of Taming Chaos in Stick-slip Vibrations of Forced-self-excited Mechanical Systems with Dry Friction
Hideyuki Kato, Kaito Kato, Shu Karube, Hiroyuki Asahara, Takuji Kousaka
pp. 151-157
DOI:
10.5687/iscie.37.151Abstract
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.