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Symmetry and bifurcations of a two-degree-of-freedom vibro-impact system

โœ Scribed by Y. Yue; J.H. Xie

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
448 KB
Volume
314
Category
Article
ISSN
0022-460X

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๐Ÿ“œ SIMILAR VOLUMES

HOPF BIFURCATION OF A TWO-DEGREE-OF-FREE
HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM
โœ G.-W. Luo; J.-H. Xie ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 321 KB

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

CODIMENSION-2 HOPF BIFURCATION OF A TWO-
CODIMENSION-2 HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM
โœ G.-L. WEN ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 312 KB

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

PERIODIC MOTIONS AND GLOBAL BIFURCATIONS
PERIODIC MOTIONS AND GLOBAL BIFURCATIONS OF A TWO-DEGREE-OF-FREEDOM SYSTEM WITH PLASTIC VIBRO-IMPACT
โœ G.W. LUO; J.H. XIE; S.H.L. GUO ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Random response of a single-degree-of-fr
Random response of a single-degree-of-freedom vibro-impact system with clearance
โœ Hung-Sying Jing; Mindhu Young ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 536 KB

The closed form solutions of the stationary random response of a single-degree-of-freedom vibro-impact system with clearance are formulated in this paper. The Hertz contact law from elasticity is used to model the contact phenomena between the mass and constraint during vibration. The excitation is