Global behavior of a vibro-impact system with asymmetric clearances. (9th June 2018)

• Record Type: Journal Article
• Authors: Li, Guofang; Ding, Wangcai
• Is Part Of: Journal of sound and vibration. Volume 423(2018)
• Page Start: 180
• Page End: 194
• Publication Date: 2018-06-09
• Subjects: Vibro-impact system -- Global behavior -- Asymmetric clearances -- Grazing bifurcation -- Coexistence of periodic motions -- Semi-analytical method -- State-parameter space co-simulation method; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2018.02.058
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: A simple dynamic model of a vibro-impact system subjected to harmonic excitation with two asymmetric clearances is considered. The Semi-Analytical Method for getting periodic solutions of the vibro-impact system is proposed. Diversity and evolution of the fundamental periodic impact motions are analyzed. The formation mechanism of the complete chatting-impact periodic motion with sticking motion by the influence of gazing bifurcation is analyzed. The transitional law of periodic motions in the periodical inclusions area is presented. The coexistence of periodic motions and the extreme sensitivity of the initial value within the high frequency region are studied. The global distribution of the periodic and chaos motions of the system is obtained by the state-parameter space co-simulation method which very few have considered before. The distribution of the attractor and the corresponding attracting domain corresponding to different periodic motions are also studied.