Abstract
A multi-degree-of-freedom vibratory system with a clearance is considered. The system consists of linear components, but the maximum displacement of one of the masses is limited to a threshold value by the symmetrical rigid stops. Such models play an important role in the studies of mechanical systems with clearances or gaps. Period one double-impact symmetrical motions are derived analytically according to the set of periodicity and matching conditions, and associated Poincare map is established. Stability and local bifurcations of the fixed point of double-impact symmetrical motion is analyzed by using the Poincare map. A two-degree-of-freedom vibratory system with a clearance is used as an example to demonstrate the validity of the analysis. Stability of periodic-impact motions, bifurcations, grazing singularities and routes to chaos are analyzed for the two-degree-of-freedom vibratory system with a clearance, in turn. Dynamics of the fundamental element in vehicle dynamics, a suspended, rolling wheelset is described. The diversity of dynamical behavior in this rolling wheelset with vibro-impact is demonstrated. Interesting features like both symmetric and asymmetric limit cycles, pitchfork bifurcation, period-doubling bifurcation, grazing boundary singularity and chaos, etc., are found.
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.
