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Chaotic and Periodic Motions in a Vibro-Impacting System

✍ Scribed by KOTERA, Tadashi; SHINTANI, Masanori

Book ID
121351732
Publisher
The Japan Society of Mechanical Engineers
Year
2003
Tongue
English
Weight
586 KB
Volume
46
Category
Article
ISSN
1344-7653

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πŸ“œ SIMILAR VOLUMES

Chaotic modes of oscillation of a vibro-
Chaotic modes of oscillation of a vibro-impact system
✍ S.G. Kryzhevich; V.A. Pliss πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 838 KB

The motion of a point mass on a spring with friction and with the condition of absolutely elastic impact against the arresting devices is investigated. The sufficient conditions for chaotic oscillations are derived analytically for the problem considered. The mechanism by which such oscillations ari

Periodic-impact motions and bifurcations
Periodic-impact motions and bifurcations of vibro-impact systems near 1:4 strong resonance point
✍ Guanwei Luo; Yanlong Zhang; Jianhua Xie; Jiangang Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 942 KB

Two typical vibro-impact systems are considered. The periodic-impact motions and Poincare Β΄maps of the vibro-impact systems are derived analytically. A center manifold theorem technique is applied to reduce the Poincare Β΄map to a twodimensional one, and the normal form map associated with 1:4 strong

PERIODIC MOTIONS AND GLOBAL BIFURCATIONS
PERIODIC MOTIONS AND GLOBAL BIFURCATIONS OF A TWO-DEGREE-OF-FREEDOM SYSTEM WITH PLASTIC VIBRO-IMPACT
✍ G.W. LUO; J.H. XIE; S.H.L. GUO πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 258 KB

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