Identification of a continuous structure with a geometrical non-linearity. Part I: Conditioned reverse path method

[en] Particular effort has been spent in the field of identification of multi-degree-of-freedom non-linear systems. The newly developed methods permit the structural analyst to consider increasingly complex systems. The aim of this paper and a companion paper is to study, by means of two methods, a continuous non-linear system consisting of an experimental cantilever beam with a geometrical non-linearity. In this paper (Part I), the ability of the conditioned reverse path method, which is a frequency domain technique, to identify the behaviour of this structure is assessed. The companion paper (Part II) is devoted to the application of proper orthogonal decomposition, which is an updating technique, to the test example. (C) 2002 Elsevier Science Ltd. All rights reserved.

Disciplines :

Mechanical engineering

Author, co-author :

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Lenaerts, V.; Université de Liège - ULiège > d'Aerospatiale et mécanique

Golinval, Jean-Claude ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Language :

English

Title :

Identification of a continuous structure with a geometrical non-linearity. Part I: Conditioned reverse path method

Publication date :

08 May 2003

Journal title :

Journal of Sound and Vibration

ISSN :

0022-460X

eISSN :

1095-8568

Publisher :

Academic Press Ltd Elsevier Science Ltd, London, United Kingdom

Volume :

262

Issue :

Pages :

889-906

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 18 August 2009

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Bibliography

S.F. Masri, T.K. Caughey, A nonparametric identification technique for nonlinear dynamic problems, Journal of Applied Mechanics 46 (1979) 433-447.
M. Simon, G.R. Tomlinson, Application of the Hilbert transform in modal analysis of linear and non-linear structures, Journal of Sound and Vibration 90 (1984) 275-282.
I.J. Leontaritis, S.A. Billings, Input-output parametric models for nonlinear systems, part I: deterministic nonlinear systems, International Journal of Control 41 (1985) 303-328.
I.J. Leontaritis, S.A. Billings, Input-output parametric models for nonlinear systems, part II: stochastic nonlinear systems. International Journal of Control 41 (1985) 329-344.
S.J. Gifford, G.R. Tomlinson, Recent advances in the application of functional series to non-linear structures. Journal of Sound and Vibration 135 (1989) 289-317.
K. Worden, Nonlinearity in structural dynamics: the last ten years, Proceedings of the European COST F3 Conference on System Identification and Structural Health Monitoring, Madrid, Spain, 2000, pp. 29-52.
F.M. Hemez, S.W. Doebling, Review and assessment of model updating for non-linear, transient dynamics. Mechanical Systems and Signal Processing 15 (1) (2001) 45-74.
V. Lenaerts, G. Kerschen, J.-C. Golinval, Proper orthogonal decomposition for model updating of non-linear mechanical systems. Mechanical Systems and Signal Processing 15 (1) (2001) 31-43.
T.K. Hasselman, M.C. Anderson, W.G. Gan, Principal component analysis for nonlinear model correlation, updating and uncertainty evaluation. Proceedings of the 16th International Modal Analysis Conference, Santa Barbara, USA, 1998, pp. 644-651.
D.E. Adams, R.J. Allemang, A frequency domain method for estimating the parameters of a non-linear structural dynamic model through feedback, Mechanical Systems and Signal Processing 14 (4) (2000) 637-656.
H.J. Rice, J.A. Fitzpatrick, A generalised method for spectral analysis of non-linear systems, Mechanical Systems and Signal Processing 2 (1988) 195-201.
C.M. Richards, R. Singh, Identification of multi-degree-of-freedom non-linear systems under random excitations by the reverse-path spectral method, Journal of Sound and Vibration 213 (4) (1998) 673-708.
J.S. Bendat, Nonlinear System Analysis and Identification from Random Data, Wiley, New York, 1990.
J.S. Bendat, Spectral techniques for nonlinear system analysis and identification, Shock and Vibration 1 (1993) 21-31.
V. Lenaerts, G. Kerschen, J.-C. Golinval, Identification of a continuous structure with a geometrical non-linearity. Part II: Proper orthogonal decomposition, Journal of Sound and Vibration, this issue.
D.J. Ewins, Modal Testing: Theory, Practice and Application, 2nd Edition, Research Studies Press, Hertfordshire, UK, 2000.
J.S. Bendat, Random Data: Analysis and Measurement Procedures, 2nd Edition, Wiley-Interscience, New York, 1986.
C.M. Richards, R. Singh, Feasibility of identifying non-linear vibratory systems consisting of unknown polynomial forms, Journal of Sound and Vibration 220 (3) (1999) 413-450.
Web-Site, http://www.ulg.ac.be/ltas-vis/costf3/costf3/html.
G. Kerschen, V. Lenaerts, S. Marchesiello, A. Fasana, A frequency domain vs. a time domain identification technique for nonlinear parameters applied to wire rope isolators, Journal of Dynamic Systems, Measurement, and Control, Transactions of the American Society of Mechanical Engineers 123 (2001) 645-650.