Bifurcations and chaos in autonomous self-excited oscillators with impact damping

Journal of Sound and Vibration

Volumn 191, Issue 4, 1996, Pages 539-562

  Chatterjee, S ^a   Mallik, A K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DAMPING; DEGREES OF FREEDOM (MECHANICS); DYNAMICS; NUMERICAL ANALYSIS; STRUCTURAL ANALYSIS;

IMPACT DAMPING; SELF EXCITED OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 0030126929     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0139     Document Type: Article

References (18)

1. M. M. SADEK 1972 Machinery 120, 152-61. Impact dampers for controlling vibration in machine tools.
2. A. L. PAGET 1937 Engineering 143, 305-307. Vibration in steam turbine buckets and damping by impacts.
3. H. H. REED 1967 Wind Effects on Buildings and Structures, Proceedings of Internal Research Seminar, Ottawa. Hanging chain impact dampers - a simple method of damping tall, flexible structures.
4. C. GRUBIN 1956 Journal of Applied Mechanics, Trans. ASME 23, 373-378. On the theory of acceleration damper.
5. G. B. WARBURTON 1957 Journal of Applied Mechanics, Trans. ASME 24, 322-324. On the theory of acceleration damper.
6. C. N. BAPAT, S. SANKAR and N. POPPLEWELL 1983 53rd Shock and Vibration Bulletin 4, 1-12. Experimental investigation of controlling vibrations using multi-unit impact damper.
7. C. N. BAPAT and S. SANKAR 1985 Journal of Sound and Vibration 99, 85-94. Single unit impact damper in free and forced vibration.
8. N. POPPLEWELL and S. E. SEMERCIGIL 1989 Journal of Sound and Vibration 133, 193-223. Performance of the bean bat impact damper for a sinusoidal external force.
9. S. F. MASRI and T. K. CAUGHEY 1966 Journal of Applied Mechanics, Trans. ASME E33, 586-592. On the stability of the impact damper.
10. S. F. MASRI 1970 Journal of the Acoustical Society of America 47, 229-237. General motion of impact dampers.
11. C. N. BAPAT, N. POPPLEWELL and K. MCLACHLAN 1983 Journal of Sound and Vibration 87, 19-40. Stable periodic motion of an impact pair.
12. N. POPPLEWELL and C. N. BAPAT 1983 Journal of Sound and Vibration 87, 41-59. Stable periodic vibroimpacts of an oscillator.
13. C. K. SUNG and W. S. YU 1992 Journal of Sound and Vibration 158, 317-329. Dynamics of a harmonically excited impact damper: bifurcation and chaotic motion.
14. J. D. CRAWFORD 1991 Reviews of Modern Physics 63, 991-1037. Introduction to bifurcation theory.
15. B. RAVINDRA and A. K. MALLIK 1994 Physical Review E 49, 4950-4954. Role of non-linear dissipation in soft duffing oscillators.
16. S. CHATTERJEE, A. K. MALLIK and A. GHOSH 1995 Journal of Sound and Vibration 187, 403-420. On impact dampers for non-linear vibrating systems.
17. Y. POMEAU and P. MANNEVILLE 1980 Communications in Mathematical Physics 74, 189-197. Intermittent transition to turbulence in dissipative dynamical systems.
18. A. B. NORDMARK 1991 Journal of Sound and Vibration 145, 279-297. Non-periodic motion caused by grazing incidence in an impact oscillator.