Dynamics of an Unbalanced Shaft Interacting with a Limited Power Supply

Nonlinear Dynamics

Volumn 13, Issue 2, 1997, Pages 171-187

  Dimentberg, M F ^a   McGovern, L ^a,b   Norton, R L ^a   Chapdelaine, J ^a,c   Harrison, R ^a,d  

^a Worcester Polytechnic Institute   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^c WIREMOLD Co   (United States)

^d Centracept Co   (United States)

Author keywords

Chaos; Limited power supply; Nonlinear vibrations; Unbalanced shaft

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; DYNAMICS; EXPERIMENTS; NONLINEAR EQUATIONS; NUMERICAL METHODS; VIBRATIONS (MECHANICAL);

LIMITED POWER SUPPLY;

SHAFTS (MACHINE COMPONENTS);

EID: 0031152739     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008205012232     Document Type: Article

References (10)

1. Sommerfeled, A., 'Beitrage zum dynamischen Ausbau der Festigkeitslehre', Physikalische Zeitschrift, 1902, 12, 13 [in German].
2. Rocard, Y., Dynamique Générale des Vibrations, Masson, Paris, 1949.
3. Blekhman, I. I., 'Self-synchronization of certain vibratory devices', Engineering Transactions (Inzhenernyi Sbornik) 16, 1953 [in Russian].
4. Kononenko, V. O., Vibrating Systems with a Limited Power Supply, Iliffe Books, London, 1969.
5. Dimentberg, M. F., Statistical Dynamics of Nonlinear and Time-Varying Systems, Research Studies Press, Taunton, England, 1988.
6. Rand, R. H., Kinsey, R. J., and Mignori, D. L., 'Dynamics of spinup through resonance', International Journal of Non-Linear Mechanics 27(3), 1992, 489-502.
7. Dimentberg, M. F. and Frolov, K. V., 'The Sommerfeld effect in a system with randomly varying natural frequency', Soviet Physics Doklady 11, 1967, 1054-1056.
8. Chernous'ko, F. L., Akulenko, L. D., and Sokolov, B. N., Control of Vibration, Nauka, Moscow, 1980 [in Russian].
9. Dimentberg, M., Chapdelaine J., Harrison R., and Norton, R., 'Passage through critical speed with limited power by switching system stiffness', Nonlinear and Stochastic Dynamics, ASME, AMD-Vol. 192/DE-Vol. 78, 1994, 57-67.
10. Krasnopolskaya, T. S. and Shvets, A. Yu, 'Chaos in vibrating systems with a limited power-supply', Chaos 3, 1993, 387-395.