Nonlinear system identification of systems with periodic limit-cycle response

Nonlinear Dynamics

Volumn 39, Issue 1-2, 2005, Pages 63-77

  Thothadri, M ^a,c   Moon, F C ^b  

^a Cornell University ^*  (United States)

^b School of Operations Research and Industrial Engineering   (United States)

^c APPLIED MATERIALS INC   (United States)

Author keywords

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

Indexed keywords

AIRCRAFT; BIFURCATION (MATHEMATICS); DEGREES OF FREEDOM (MECHANICS); HARMONIC ANALYSIS; HYSTERESIS; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS;

FLOW VELOCITY; FLUID-ELASTIC SYSTEMS; HARMONIC BALANCE; NONLINEAR SYSTEM IDENTIFICATION;

NONLINEAR SYSTEMS;

EID: 17444410363     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-1914-0     Document Type: Article

References (17)

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 identificatin', 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. Ljung, L., System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, New Jersey, 1987.
7. Parkinson, G., 'Phenomena and modelling of flow-induced vibrations of bluff blodies', Progress in Aerospace Science 26, 1989, 169-224.
8. Price, S. J., 'A review of theoretical models for fluid-elastic instability of cylinder arrays in cross-flow', Journal of Fluids and Structures 9, 1995, 463-518.
9. Price, S. J. and Valerio, N. R., 'A non-linear investigation of single-degree-of-freedom instability in cylinder arrays subject to cross-flow', Journal of Sound and Vibration 137, 1990, 419-432.
10. Rand, R. H. and Armbruster, D., Perturbation Methods, Bifurcation Theory and Computer Algebra, Springer-Verlag, 1987.
11. Roberts, B.W., 'Low frequency, aeroelastic vibrations in a cascade of circular cylinders', in Mechanical Engineering Science Monograph, No. 4, London, 1966.
12. Schittowski, K., 'NLQPL: A FORTRAN - subroutine solving constrained nonlinear programming problems', Annals of Operations Research 5, 1985, 485-500.
13. Thothadri, M., 'Nonlinear System Identification and Control of Fluid-Elastic Vibrartions of a Cylinder Row Using Bifurcation Theory', Ph.D. Thesis, Cornell University, Ithaca, New York, 1999.
14. Thothadri, M., Casas, R. A., Moon, F. C., D'Andrea, R., and Johnson, C. R., 'Nonlinear system identification of multi-degree-of-freedom system', Nonlinear Dynamics 32, 2003, 307-322.
15. 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.
16. Yasuda, K., Kawamura, S., and Watanabe, K., 'Identification of nonlinear multi-degree-of-freedom systems', JSME International Journal 31(1), 1988, 8-15.
17. Yuan, C. M. and Feeny, B. F., 'Parametric identification of chaotic systems', Journal of Vibration and Control 4, 1998, 405-426.