A comparison of three techniques using steady state data to identify non-linear modal behavior of an externally excited cantilever beam

Journal of Sound and Vibration

Volumn 249, Issue 4, 2002, Pages 785-813

  Doughty, T A ^a   Davies, P ^a   Bajaj, A K ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MODAL ANALYSIS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; PHASE MODULATION;

CONTINUOUS TIME DIFFERENTIAL EQUATION MODEL; MULTIPLE TIME SCALE; NONLINEAR SYSTEM IDENTIFICATION;

CANTILEVER BEAMS;

EID: 0037165045     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3912     Document Type: Article

References (29)

1. L. Ljung 1987 System Identification: Theory for the User. Englewood Cliffs, NJ: Prentice-Hall. Inc.
2. T. Soderstrom and P. Stoica 1988 System Identification. Englewood Cliffs, NJ: Prentice-Hall, Inc.
3. S. A. Billings 1980 Proceedings of IEEE 127 (D), 272-285. Identification of nonlinear systems-a survey.
4. P. Davies 1993 Proceedings of Vibration Engineering Seminar, Taejon, Korea, 101-116. Nonlinear system modeling and identification.
5. P. Young 1996 Proceedings of the International Conference on Identification in Engineering Systems, Swansea, 1-17. Identification, estimation and control of continuous-time and delta operator systems.
6. R. Haber and H. Unbehauen 1990 Automatica 26, 651-677. Structure identification of nonlinear dynamic systems-a survey on input/output approaches.
7. S. Chen and S. A. Billings 1989 International Journal of Control 49, 1013-1032. Representations of non-linear systems: the NARMAX model.
8. S. A. McCabe 1998 Ph.D. Thesis, Purdue University. Nonlinear digital system identification of vibrating structures.
9. D. J. Mook 1989 American Institute of Aeronautics and Astronautics Journal 27, 968-974. Estimation and identification of nonlinear dynamic systems.
10. T. Kavzoglu and P. M. Mather 1999 International Journal of Remote Sensing 20, 2787-2803. Pruning artificial neural networks: an example using land cover classification of multi-sensor images.
11. J. A. Gottwald, L. N. Virgin and E. H. Dowell 1992 Journal of Sound and Vibration 158, 447-467. Experimental mimicry of duffing's equation.
12. M. D. Todd, L. N. Virgin and J. A. Gottwald 1996 Nonlinear Dynamics 10, 31-48. The nonstationary transition through resonance.
13. P. V. Bayly and L. N. Virgin 1993 Journal of Sound and Vibration 164, 364-374. An experimental study of an impacting pendulum.
14. K. D. Murphy, P. V. Bayly, L. N. Virgin and J. A. Gottwald 1994 Journal of Sound and Vibration 172, 85-102. Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators.
15. S. L. Bux and J. W. Roberts 1986 Journal of Sound and Vibration 104, 497-520. Non-linear vibratory interactions in systems of coupled beams.
16. R. P. Ashworth and A. D. S. Barr 1987 Journal of Sound and Vibration 118, 47-68. The resonances of structures with quadratic inertial non-linearity under direct and parametric harmonic excitation.
17. P. F. Pai and A. H. Nayfeh 1990 International Journal of Non-Linear Mechanics 25, 455-474. Non-linear non-planar oscillations of a cantilever beam under lateral base excitations.
18. L. D. Zavodney and A. H. Nayfeh 1989 International Journal of Non-linear Mechanics 24, 105-125. The non-linear response of a slender beam carrying a lumped mass to a principal parametric excitation: theory and experiment.
19. C. Zeretzky and M. Crespo da Silva 1994 Journal of Sound and Vibration 174, 145-167. Experimental investigation of non-linear modal coupling in the response of cantilever beams.
20. M. R. M. Crespo da Silva and C. C. Glynn 1978 International Journal of Solids and Structures 6, 449-461. Nonlinear flexural-flexural-torsional dynamics of inextensional beams, ii. forced motions.
21. A. L. Audenino and G. Belingardi 1996 Mechanical Systems and Signal Processing 10, 277-291. Processing of simultaneous mechanical random response signals: Integration, differentiation and phase shifts correction.
22. K. Yasuda, S. Kawamura and K. Watanabe 1983 Japanese Society of Mechanical Engineers International Journal 31, 8-14. Identification of nonlinear multi-degree-of-freedom systems (presentation of an identification technique).
23. A. H. Nayfeh and D. T. Mook 1979 Nonlinear Oscillations. New York: Wiley.
24. S. S. Rao 1990 Mechanical Vibrations. Massachusetts: Addison-Wesley.
25. J. L. Ding, J. Pazhouh, S. B. Lin and T. D. Burton 1994 Scripta Metallurgica Materials 30 839-844. Damage characteristics by vibration test.
26. T. A. Doughty, P. Davies, and A. K. Bajaj 2002 On choosing inputs for nonlinear system identification. a Manuscript in preparation.
27. S. L. Marple Jr 1987 Digital Spectral Analysis with Applications. Englewood Cliffs, NJ: Prentice-Hall, Inc.
28. L. R. Rabiner and B. Gold 1975 Theory and Application of Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall.
29. R. W. Krauss and A. H. Nayfeh 1999 Nonlinear Dynamics 18, 69-87. Experimental nonlinear identification of a single mode of a transversely excited beam.