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
Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom
โ Scribed by S.G. Kryzhevich
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 292 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0021-8928
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๐ SIMILAR VOLUMES
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
A two-degree-of-freedom (d.o.f.) impact system with proportional damping is considered. The maximum displacement of one of the masses is limited to a threshold value by a rigid wall, which gives rise to a non-linearity in the system. A limiting case of a dynamical problem arising in the mechanical s
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