Nonlinear system identification of multi-degree-of-freedom systems

Nonlinear Dynamics

Volumn 32, Issue 3, 2003, Pages 307-322

  Thothadri, M ^a   Casas, R A ^b   Moon, F C ^b   D'Andrea, R ^b   Johnson Jr , C R ^b  

^a Department of Obstetrics Gynecology   (United States)

^b Cornell University   (United States)

Author keywords

Bifurcations; Fluid elastic systems; Harmonic balance; Nonlinear system identification

Indexed keywords

BIFURCATION (MATHEMATICS); IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; NONLINEAR SYSTEMS;

FLUID-ELASTIC SYSTEM; FLUID-STRUCTURE SYSTEM; HARMONIC BALANCE NONLINEARITY IDENTIFICATION; MULTI-DEGREE-OF-FREEDOM SYSTEMS; SELF-EXCITED MOTIONS; SUBCRITICAL HOPF BIFURCATION;

DEGREES OF FREEDOM (MECHANICS);

EID: 0041845015     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024489210804     Document Type: Article

References (14)

1. Abarbanel, H. D. I., Analysis of Observed Chaotic Data, Springer-Verlag, New York, 1996.
2. Billings, S. A., 'Identification of nonlinear systems - A survey', Proceedings of IEEE 127, 1980, 272-285.
3. Casas, R. A., Jacobson, C. A., Rey, G. J., Green, M., and Johnson, C. R., 'Harmonic balance methods for nonlinear feedback identification', Allerton 2, 1997, 230.
4. Chen, S. and Billings, S. A., 'Representations of nonlinear systems: The NARMAX model', International Journal of Control 49(3), 1989, 1013-1032.
5. Haber, R. and Unbehauen, H., 'Structure identification of nonlinear dynamic systems - A survey in input/output approaches', Automatica 26, 1990, 651-677.
6. Hagedorn, P., Non-Linear Oscillations, Oxford University Press, Oxford, 1988.
7. Ljung, L., System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ, 1987.
8. Masri, S. F., Chassiakos, A. G., and Caughey, T. K., 'Identification of nonlinear dynamic systems using neural networks', ASME, Journal of Applied Mechanics 60, 1993, 123-133.
9. Moon, F. C., Chaotic and Fractal Dynamics, Wiley, New York, 1992.
10. Thothadri, M., 'Nonlinear system identification and control of fluid-elastic vibrations of a cylinder row using bifurcation theory', Ph.D. Thesis, Cornel University, 1999.
11. Thothadri, M. and Moon, F. C., 'Helical wave oscillations in a row of cylinders in a cross flow', Journal of Fluids and Structures 12, 1998, 591-613.
12. Thothadri, M. and Moon, F. C., 'An investigation of nonlinear models for a cylinder row in a cross flow', ASME, Journal of Pressure Vessel Technology 121, 1999, 133-141.
13. Yasuda, K., Kawamura, S., and Watanabe, K., 'Identification of nonlinear multi-degree-of-freedom systems', JSME International Journal 31(1), 1988, 8-15.
14. Yuan, C. M. and Feeny, B. F., 'Parametric identification of chaotic systems', Journal of Vibration and Control 4, 1998, 405-426.