Dynamics of a cubic nonlinear vibration absorber

Nonlinear Dynamics

Volumn 20, Issue 3, 1999, Pages 283-295

  Oueini, Shafic S ^a   Chin, Char Ming ^a   Nayfeh, Ali H ^a  

^a State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CHAOS THEORY; CONTROL NONLINEARITIES; MACHINE VIBRATIONS; MODAL ANALYSIS; NATURAL FREQUENCIES; RESONANCE; SYSTEM STABILITY;

CUBIC NONLINEAR VIBRATION ABSORBERS;

DYNAMICS;

EID: 0033353814     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008358825502     Document Type: Article

References (11)

1. Sethna, P. R., 'Vibrations of dynamical systems with quadratic nonlinearities', Journal of Applied Mechanics 32, 1965, 576-582.
2. Nayfeh, A. H., Mook, D. T., and Marshall, L. R., 'Nonlinear coupling of pitch and roll modes in ship motion', Journal of Hydronautics 7, 1973, 145-152.
3. Haddow, A. G., Barr, A. D. S., and Mook, D. T., 'Theoretical and experimental study of modal interaction in a two degree-of-freedom structure', Journal of Sound and Vibration 97, 1984, 451-473.
4. Balachandran, B. and Nayfeh, A. H., 'Observations of modal interactions in resonantly forced beam-mass structures', Nonlinear Dynamics 2, 1991, 77-117.
5. Bajaj, A. K., Chang, S. I., and Johnson, J. M., 'Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system', Nonlinear Dynamics 5, 1994, 433-457.
6. Banerjee, B., Bajaj, A. K., and Davies, P., 'Resonant dynamics of an autoparametric system: A study using higher order averaging', International Journal of Non-Linear Mechanics 31, 1993, 21-39.
7. Oueini, S. S., Nayfeh, A. H., and Pratt, J. R., 'A nonlinear vibration absorber for flexible structures', Nonlinear Dynamics 15, 1998, 259-282.
8. Pratt, J. R., Oueini, S. S., and Nayfeh, A. H., 'A Terfenol-D nonlinear vibration absorber', Journal of Intelligent Material Systems and Structures, 1999, to appear.
9. Nayfeh, A. H., Perturbation Methods, Wiley, New York, 1973.
10. Nayfeh, A. H. and Balachandran, B., Applied Nonlinear Dynamics, Wiley, New York, 1995.
11. Seydel, R., Practical Bifurcation and Stability Analysis: From Equilibrium to Chaos, Springer-Verlag, New York, 1994.