Periodic-impact motions and bifurcations of a dual component system

Nonlinear Analysis: Real World Applications

Volumn 7, Issue 4, 2006, Pages 813-828

  Luo, G W ^a   Yu, J N ^a   Zhang, J G ^a  

^a LANZHOU JIAOTONG UNIVERSITY   (China)

Author keywords

Bifurcation; Clearance; Impact map; Periodic motion; Vibration

Indexed keywords

BIFURCATION (MATHEMATICS); DEGREES OF FREEDOM (MECHANICS); IMPACT TESTING; NUMERICAL ANALYSIS; OSCILLATORS (ELECTRONIC); VIBRATIONS (MECHANICAL);

CLEARANCE; ELASTIC IMPACT OSCILLATORS; IMPACT MAP; PERIODIC MOTION;

NONLINEAR SYSTEMS;

EID: 33646133664     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.03.030     Document Type: Article

References (23)

1. Aidanpää J.O., and Gupta B.R. Periodic and chaotic behaviour of a threshold-limited two-degree-of-freedom system. J. Sound Vibration 165 2 (1993) 305-327
2. Balachandran B. Dynamics of an elastic structure excited by harmonic and aharmonic impactor motions. J. Vibration Control 9 3-4 (2003) 265-279
3. Budd C., Dux F., and Cliffe A. The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators. J. Sound Vibration 184 3 (1995) 475-502
4. Feigin M.I. The increasingly complex structure of the bifurcation tree of a piecewise-smooth system. J. Appl. Math. Mech. 59 6 (1995) 853-863
5. Feng Q., and He H. Modeling of the mean Poincare map on a class of random impact oscillators. Eur. J. Mech. A/Solids 22 2 (2003) 267-281
6. Huang Z.L., Liu Z.H., and Zhu W.Q. Stationary response of multi-degree-of-freedom vibro-impact systems under white noise excitations. J. Sound Vibration 275 1-2 (2004) 223-240
7. Ivanov A.P. Stabilization of an impact oscillator near grazing incidence owing to resonance. J. Sound Vibration 162 3 (1993) 562-565
8. Knudsen J., and Massih A.R. Dynamic stability of weakly damped oscillators with elastic impacts and wear. J. Sound Vibration 263 1 (2003) 175-204
9. G.W. Luo, Periodic impact motions and bifurcations of vibro-impact systems, Doctor's degree Dissertation, Southwest Jiaotong University, 1998.
10. Luo G.W. Subharmonic and Hopf bifurcations of a vibro-impact machinery in a strong resonance case. Acta Mech. Sin. 35 5 (2003) 592-598
11. Luo G.W. Stability and global bifurcations of periodic motions of a vibro-impact machinery with double masses. Eng. Mech. 21 1 (2004) 118-124
12. Luo Albert C.J. An unsymmetrical motion in a horizontal impact oscillator. J. Vibration Acoust. Trans. ASME 124 3 (2002) 420-426
13. Mikhlin Y.V. Direct and inverse problems encountered in vibro-impact oscillations of a discrete system. J. Sound Vibration 216 2 (1998) 227-250
14. Murphy K.D., and Morrison T.M. Grazing instabilities and post-bifurcation behavior in an impacting string. J. Acoust. Soc. Am. 111 2 (2002) 884-892
15. Nordmark A.B. Non-periodic motion caused by grazing incidence in an impact oscillator. J. Sound Vibration 145 2 (1991) 279-297
16. Peterka F., and Vacik J. Transition to chaotic motion in mechanical systems with impacts. J. Sound Vibration 154 1 (1992) 95-115
17. Shaw S.W., and Holmes P.J. A periodically forced impact oscillator with large dissipation. J. Appl. Mech. 50 (1983) 849-857
18. Shaw S.W., and Holmes P.J. Periodically forced linear oscillator with impacts: chaos and long-period motions. Phys. Rev. Lett. 51 8 (1983) 623-626
19. B.C. Wen, F.Q. Liu, Theory and Application of Vibratory Mechanism, Machine Building Press, Beijing, 1982, pp. 254-264.
20. B.C. Wen, S.Y. Liu, C.Y. Zhang, Mechanical Vibration, Metallurgy Industry Press Beijing, 1999, pp. 145-146.
21. Xie J. The mathematical model for the impact hammer and global bifurcations. Acta Mech. Sin. 29 4 (1997) 456-463
22. Yang Z.Z. Optimization of impact position and simulation of small vibratory pile driver. J. Hydraul. Eng. 8 (1999) 72-76
23. Yu K., and Luo Albert C.J. The periodic impact responses and stability of a human body in a vehicle traveling on rough terrain. J. Sound Vibration 272 1-2 (2004) 267-286