Codimension-2 Hopf bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is investigated in this paper. The four-dimensional PoincareH map of the vibro-impact system is reduced to a two-dimensional normal form by virtue of a center manifold reduction and a normal fo
Codimension two bifurcation of a vibro-bounce system
โ Scribed by Guanwei Luo; Yandong Chu; Yanlong Zhang; Jianhua Xie
- Book ID
- 106331614
- Publisher
- The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
- Year
- 2005
- Tongue
- English
- Weight
- 330 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0567-7718
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๐ SIMILAR VOLUMES
A dual component system with vibro-impact is considered. Local codimension two bifurcation of maps, involving a real eigenvalue and a complex conjugate pair escaping the unit circle simultaneously, is analyzed by using the center manifold and normal form method for maps. The period n single-impact m
The bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is studied in this paper. It is shown that there exist Hopf bifurcations in the vibro-impact systems with two or more degrees of freedom under suitable system parameters. In the paper, a centre manifold theor
Bifurcation problems of. a spring-mass syste9 vibrating agqznst an infinite large plane are studied in this paper. It is shown that tyere exist phenomena of codimension two bifurc&io.ns when the ratios of frequencies ark in the neigborhood of the same special va?es and the"\oefficient of restitution