An experimental impact oscillator

Chaos, Solitons and Fractals

Volumn 8, Issue 4 SPEC. ISS., 1997, Pages 699-714

  Todd, M D ^a   Virgin, L N ^a  

^a Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011007151     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(96)00112-9     Document Type: Article

References (25)

1. Gottwald, J. A., Virgin, L. N. and Dowell, E. H., Experimental mimicry of Duffing's equation. J. Sound Vibration, 1992, 158, 447-467.
2. Gottwald, J. A., Virgin, L. N. and Dowell, E. H., Routes to escape from an energy well. J. Sound Vibration 1995, 187, 133-144.
3. Todd, M. D., Virgin, L. N. and Gottwald, J. A., The nonstationary transition through resonance. Nonlinear Dynamics 1996, 10, 31-48.
4. Shaw, S. W. and Holmes, P. J., A periodically forced piecewise linear oscillator, J. Sound Vibration, 1983, 90, 129-155.
5. Shaw, S. W., Forced vibrations of a beam with one-sided amplitude constraint: theory and experiment. J. Sound Vibration, 1985, 99, 199-212.
6. Shaw, S. W., The dynamics of a harmonically excited system having rigid amplitude constraints, Parts 1 and 2. J. Appl. Mech., 1985, 52, 453-464.
7. Bayly, P. V. and Virgin, L. N., Chaotic rattling of a piecewise nonlinear oscillator. ASME Winter Annual Meeting, Atlanta GA, December, 1991.
8. Bayly, P. V. and Virgin, L. N., An experimental study of an impacting pendulum. J. Sound Vibration, 1993, 162, 1-11.
9. Thompson, J. M. T., Complex dynamics of compliant offshore structures. Proc. Roy. Soc. Lond. Ser. A, 1983, 387, 407-427.
10. Thompson, J. M. T., Bokakian, A. R. and Ghaffari, R., Subharmonic and chaotic motions of compliant offshore structures and articulated mooring towers. J. Energy Resource Tech., 1986, 106, 191-198.
11. Thompson, J. M. T. and Stewart, H. B., Nonlinear Dynamics and Chaos. Wiley, Chichester, 1986.
12. Elvey, J. S. N., On the elimination of destabilizing motions of articulated mooring towers under steady sea conditions. J. Appl. Math., 1983, 31, 235-251.
13. Bishop, S. R., Leung, L. M. and Virgin, L. N., Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state. ASME J. Offshore Mech. Arctic Engng, 1987, 109, 223-228.
14. Ehrich, F. F., Some observations of chaotic vibration phenomena in high-speed rotor dynamics. ASME J. Vibration Acoustics, 1991, 113, 50-57.
15. Pfeiffer, F. and Kunert, A., Rattling models from deterministic to stochastic processes. Nonlinear Dynamics, 1990, 1, 63-74.
16. Vakakis, A. F. and Burdick, J. W., Chaotic dynamics in the motion of a hopping robot. Proc. IEEE Int. Conf. on Robotics and Automation, 1990, 1101, 1464-1469.
17. Peterka, F. and Vacik, J., Transition to chaotic motion in mechanical systems with impacts. J. Sound Vibration, 1992, 154, 95-115.
18. Paidoussis, M. P., Chaotic oscillations of the autonomous system of a constrained pipe conveying fluid. J. Sound Vibration, 1989, 135, 1-19.
19. Chin, W., Ott, E., Nusse, H. E. and Grebogi, C., Grazing bifurcations in impact oscillators. Phys. Rev. E, 1994, 50, 4427-4444.
20. Nordmark, A. B., Effects due to low velocity impact in mechanical oscillators. Int. J. Bifurc. Chaos, 1992, 2, 597-605.
21. Broomhead, D. S. and King, G. P., Extracting qualitative dynamics from experimental data. Phys. D, 1986, 20, 217-236.
22. Henon, M., On the numerical computation of Poincaré maps. Phys. D, 1982, 5, 412-414.
23. Shaw, S. W. and Haddow, A. G., On 'roller-coaster' experiments for nonlinear oscillators. Nonlinear Dynamics, 1992, 3, 375-384.
24. Todd, M. D. and Virgin, L. N., Natural frequency considerations of an impact oscillator. J. Sound Vibration 1996, 194, 452-460.
25. Henon, M. and Pomeau, Y., Two strange attractors with simple structure. In Turbulence and Navier-Stokes Equations, Lecture Notes in Mathematics, Vol. 597. Springer, New York, 1976.