On the symmetry of solutions in non-smooth dynamical systems with two constraints

Journal of Sound and Vibration

Volumn 273, Issue 4-5, 2004, Pages 1118-1126

  Luo, A C J ^a  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); CHAOS THEORY; CONSTRAINT THEORY; DAMPING; DYNAMIC RESPONSE; FRICTION; FUNCTIONS; MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL);

CHAOTIC MOTION; FRICTION-INDUCED VIBRATION SYSTEMS; GRAZING; NON-LINEAR SYSTEMS;

VIBRATIONS (MECHANICAL);

EID: 2542631870     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2003.09.011     Document Type: Article

References (8)

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2. G.X. Li, R.H. Rand, F.C. Moon, Bifurcation and Chaos in a forced zero-stiffness impact oscillator, International Journal of Nonlinear Mechanics 25 (4) (1990) 414-432.
3. A.C.J. Luo, An unsymmetrical motion in a horizontal impact oscillator, American Society of Mechanical Engineers, Journal of Vibrations and Acoustics 124 (2002) 420-426.
4. S.F. Masri, T.D. Caughey, On the stability of the impact damper, American Society of Mechanical Engineers, Journal of Applied Mechanics 33 (1966) 586-592.
5. M. Senator, Existence and stability of periodic motions of a harmonically forced impacting system, Journal of Acoustics Society of America 47 (1970) 1390-1397.
6. C.N. Bapat, N. Popplewell, K. McLachlan, Stable periodic motion of an impact pair, Journal of Sound and Vibration 87 (1983) 19-40.
7. R.P.S. Han, A.C.J. Luo, W. Deng, Chaotic motion of a horizontal impact pair, Journal of Sound and Vibration 181 (1995) 231-250.
8. A.C.J. Luo, S. Menon, Global chaos in a periodically forced, linear system with a dead-zone restoring force, Chaos, Solitons and Fractals 19 (2004) 1139-1199.