Dynamics of an elastic structure excited by harmonic and aharmonic impactor motions

JVC/Journal of Vibration and Control

Volumn 9, Issue 3-4, 2003, Pages 265-279

  Balachandran, B ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Elastic structure; Impact dynamics; Nonlinear dynamics

Indexed keywords

BIFURCATION (MATHEMATICS); CANTILEVER BEAMS; DYNAMIC RESPONSE; ELASTICITY; GALERKIN METHODS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; STAINLESS STEEL;

ELASTIC STRUCTURE; IMPACT DYNAMICS;

VIBRATIONS (MECHANICAL);

EID: 0037333747     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/107754603030752     Document Type: Article

References (21)

1. Balachandran, B. and Nayfeh, A. H., 1990, "Nonlinear motions of beam-mass structure," Nonlinear Dynamics 1(1), 39-61.
2. Balachandran, B., Zhao, M. X., and Li, Y.-Y., 1997, "Dynamics of elastic structures subjected to impact excitations," in Applications of Nonlinear and Chaotic Dynamics in Mechanics, F. C. Moon, ed., Kluwer, Dordrecht.
3. Chin, W., Ott, E., Nusse, H. E., and Grebogi, C., 1995, "Universal behavior of impact oscillators near grazing incidence," Physics Letters A 201, 197-204.
4. Davies, M. and Balachandran, B., 2000, "Impact dynamics in milling of thin-walled structures," Nonlinear Dynamics 22, 375-392.
5. Fang, F. and Wickert, J. A., 1994, "Response of a periodically driven impact oscillator," Journal of Sound and Vibration 170(3), 397-409.
6. Holmes, P. J., 1982, "The dynamics of repeated impacts with a sinusoidally vibrating table," Journal of Sound and Vibration 84, 173-189.
7. Moon, F. C., 1992, Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers, Wiley, New York.
8. Moriwaki, T., Shamoto, E., and Eguchi, D., 1996, "Vibration assisted micro-machining of alloy steel," in Proceedings of the Third International Conference on Progress of Cutting and Grinding, N. Narutaki, C. Dingchang, Y. Yamane, and A. Ochi, eds., pp. 251-316.
9. Natsiavas, S., 1998, "Stability of piecewise linear oscillators with viscous and dry friction damping," Journal of Sound and Vibration 217, 507-522.
10. Nayfeh, A. H. and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New York.
11. Nordmark, A. B., 1991, "Non-periodic motion caused by grazing incidence in an impact oscillator," Journal of Sound and Vibration 145(2), 279-297.
12. Nusse, H. E. Ott, E., and Yorke, J. A., 1994, "Border-collision bifurcations: An explanation for observed bifurcation phenomena," Physical Review E 49, 1073-1076.
13. Peterka, F., 1997, "Dynamics of impact oscillator," in Applications of Nonlinear and Chaotic Dynamics in Mechanics, F. C. Moon, ed., Kluwer, Dordrecht.
14. Pfeiffer, F. and Glocker, C., 1996, Multibody Dynamics With Unilateral Contacts, Wiley, New York.
15. Shaw, J. and Shaw, S. W., 1989, "The onset of chaos in a two-degree-of-freedom impact oscillator," Journal of Applied Mechanics Vol. 56, 168-174.
16. van de Wouw, N., 1999, Steady State Behavior of Stochastically Excited Nonlinear Dynamic Systems, Ph.D. Dissertation, Eindhoven University of Technology, Eindhoven, The Netherlands.
17. Whiston, G. S., 1987a, "The vibro-impact response of a harmonically excited and preloaded one-dimensional linear oscillator," Journal of Sound and Vibration 115(2), 303-319.
18. Whiston, G. S., 1987b, "Global dynamics of a vibro-impacting linear oscillator," Journal of Sound and Vibration 118(3), 395-429.
19. Wood, L. A. and Byrne, K. P., 1981, "Analysis of a random repeated impact repeated impact process," Journal of Sound and Vibration 78(3), 329-345.
20. Wood, L. A. and Byrne, K. P., 1982, "Experimental investigation of a random repeated impact process," Journal of Sound and Vibration, 85(1), 53-69.
21. Zavodney, L. D. and Nayfeh, A. H., 1989, "The non-linear response of a slender beam carrying a lumped mass to a principal parametric excitation: theory and experiment," International Journal of Non-Linear Mechanics 24(2), 105-125.