Abstract
A three-degree-of-freedom vibro-impact system with symmetric two-sided rigid constraints is considered. The six-dimensional Poincaré map can be expressed as the second iteration of another unsymmetric implicit map. Based on the QR method, the unsymmetric implicit map is used to calculate all the Lyapunov exponents. The calculation method can be applied for other vibro-impact systems with symmetric two-sided rigid constraints. By numerical simulations, the attractors are represented in the projected Poincaré section, and are characterized by the Lyapunov exponents. It is shown that the coexistence of attractors is frequent in the system.
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.
