Transition from soliton to chaotic motion following sudden excitation of a nonlinear structure

Journal of Applied Mechanics, Transactions ASME

Volumn 63, Issue 2, 1996, Pages 445-459

  Davies, M A ^a   Moon, F C ^a  

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001279615     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2788887     Document Type: Article

References (19)

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3. Davies M. A., and Moon, F. C., 1993, “3-d spatial chaos in the elastica and the spinning top: Kirchhoff analogy," Chaos, Vol. 3, No. I, pp. 93-99.
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5. Davies, M. A., 1993, “Spatio-Temporal Chaos and Solitons in Nonlinear Periodic Structures," Ph.D. Dissertation, Cornell University, Ithnca, NY.
6. Dowell, E. H., 1982, “Flutter of a buckled plate as an example of a chaotic motion of deterministic system," Journal of Sound and Vibration. Vol. 85. No. 3. pp. 333-344.
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8. Frisch-Fay, R., 1962, Flexible Bars, Butterworth and Co., Ixwdon.
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10. Mielke, A., and Holmes, P. J., 1988, “Spatially complex equilibria of buckled rods," Archive for Rational Mechanics and Analysis, Vol. 101, pp. 319-348.
11. Moon, F. C., 1992, Chaotic and Fractal Dynamics, John Wiley and Sons, New York.
12. Moon, F. C., and Holmes, P. J., 1983, “A magnetoelastic strange attractor,” Journal of Sound and Vibration, Vol. 18, pp. 465-477.
13. ElNaschie, M. S., 1989, “On certain homoclinic solutions in clastic stability," Journal of the Physical Society of Japan, Vol. 58, pp. 4310-4321.
14. Pratap, R., Mukherjcc, S., and Moon, F. C. 1994, “Dynamic behavior of a bilinear elastoplastic oscillator. Part I: Free oscillations," Journal of Sound and Vibration, Vol. 172, No. 3, pp. 321-337.
15. Thompson, J. M. T., and Virgin, L. N., 1988, “Spatial chaos and localization phenomena in nonlinear elasticity," Physics letters A, Vol. 126, Nos. 8-9, pp. 491-496.
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19. Tseng, W. Y., and Dugungi, J., 1971, “Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation." ASME Journal of Applied Mechanics, Vol. 38, pp. 467-476.