Resonant dynamics and saturation in a coupled system with quadratic nonlinearities

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Volumn 117, Issue , 2004, Pages 621-626

  Mankala, Reddy ^a   Quinn, D Dane ^a  

^a University of Akron   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; NONLINEAR PROGRAMMING; OSCILLATIONS; TORQUE;

COUPLED SYSTEMS; DYNAMIC RESONANCES; QUADRATIC NONLINEARITIES; RESONANT DYNAMICS;

RESONANCE;

EID: 19544391042     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2004-61623     Document Type: Conference Paper

References (12)

1. Nayfeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, John Wiley & Sons, Inc., New York.
2. Neishtadt, A. I., 1975, "Passage through a Separatrix in a Resonance Problem with a Slowly-Varying Parameter," Journal on Applied Mathematical Mechanics, 39 (4), pp. 594-605.
3. Haberman, R., 1983, "Energy Bounds for the Slow Capture by a Center in Sustained Resonance," SIAM Journal on Applied Mathematics, 43 (2), pp. 244-256.
4. Kath, W. L., 1983, "Necessary Conditions for Sustained Reentry Roll Resonance," SIAM Journal on Applied Mathematics, 43 (2), pp. 314-324.
5. Rand, R. H., Kinsey, R. J., and Mingori, D. L., 1992, "Dynamics of Spinup Through Resonance," Intl. J. Non-linear Mech., 27 (3), pp. 489-502.
6. Quinn, D. D., Rand, R. H., and Bridge, J., 1995, "The Dynamics of Resonant Capture," Nonlinear Dynamics, 8, pp. 1-20.
7. Gendelman, O., Manevitch, L. I., Vakakis, A. F., and M'Closkey, R., 2001, "Energy Pumping in Nonlinear Mechanical Oscillators: Part I - Dynamics of the Underlying Hamiltonian Systems," ASME J. Appl. Mech., 68 (1), pp. 34-41.
8. Vakakis, A. F., and Gendelman, O., 2001, "Energy Pumping in Nonlinear Mechanical Oscillators: Part II - Resonance Capture," ASME J. Appl. Mech., 68 (1), pp. 42-48.
9. Vakakis, A. F., Manevitch, L. I., Gendelman, O., and Bergman, L., 2003, "Dynamics of Linear Discrete Systems Connected to Local, Essentially Non-linear Attachments," J. Sound Vib., 264, pp. 559-577.
10. Vakakis, A. F., and Rand, R. H., 2004, "Non-linear Dynamics of a System of Coupled Oscillators with Essential Stiffness Non-linearities," Intl. J. Non-linear Mech., 39, pp. 1079-1091.
11. Zniber, A., and Quinn, D. D., 2003, "Frequency Shifting in Nonlinear Resonant Systems with Damping," Presented at the 2003 ASME Design Engineering Technical Conferences, Chicago, IL. September 2-6, DETC2003/VIB-48444.
12. Quinn, D. D., 2004, "Resonant Dynamics in Strongly Nonlinear Systems," Submitted to Nonlinear Dynamics.