Abstract
The study of dynamical systems subjected to friction force is of both fundamental and practical importance. In this work, the numerical investigation of the dynamics of a three-mass system where the middle mass slides on a moving track and the two other masses slide on stationary tracks is presented. Friction between the tracks and masses is considered. It is found that the all-stick state, where all masses stick to the tracks, plays a critical role in the qualitative behaviour of the unforced dynamics where period-adding and subcritical graze-sliding bifurcation are observed. The forced vibration due to a harmonic excitation is quasiperiodic in nature. Chaos emerges from large forcing amplitude via a likely Ruelle–Takens route and an exotic route evolved directly from a periodic orbit.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
