A model updating strategy of non-linear vibrating structures

Kerschen, Gaëtan; Golinval, Jean-Claude

doi:10.1002/nme.1040

Request a copy

Article (Scientific journals)

A model updating strategy of non-linear vibrating structures

Kerschen, Gaëtan; Golinval, Jean-Claude

2004 • In International Journal for Numerical Methods in Engineering, 60 (13), p. 2147-2164

Peer Reviewed verified by ORBi

Permalink
https://hdl.handle.net/2268/18991

DOI
10.1002/nme.1040

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

15_ijnme.pdf

Publisher postprint (170.68 kB)

Request a copy

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Keywords :

non-linear dynamics; model updating; proper orthogonal decomposition; auto-associative neural networks

Abstract :

[en] The objective of this paper is to present a model updating strategy of non-linear vibrating structures. Because modal analysis is no longer helpful in non-linear structural dynamics, a special attention is devoted to the features extracted from the proper orthogonal decomposition and one of its non-linear generalizations based on auto-associative neural networks. The efficiency of the proposed procedure is illustrated using simulated data from a three-dimensional portal frame. Copyright (C) 2004 John Wiley Sons, Ltd.

Disciplines :

Mathematics
Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

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

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

Language :

English

Title :

A model updating strategy of non-linear vibrating structures

Publication date :

07 August 2004

Journal title :

International Journal for Numerical Methods in Engineering

ISSN :

0029-5981

eISSN :

1097-0207

Publisher :

John Wiley & Sons Ltd, Chichester, United Kingdom

Volume :

Issue :

Pages :

2147-2164

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 18 August 2009

Statistics

Number of views

36 (2 by ULiège)

Number of downloads

0 (0 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

Zienkiewicz OC. The Finite Element Method. McGraw-Hill: London, 1977.
Friswell MI, Mottershead JE. Finite Element Model Updating In Structural Dynamics. Kluwer Academic Publishers: Dordrecht, 1995.
Link M. Updating of analytical models-basic procedures and extensions. In Modal Analysis & Testing, Silva JMM, Maia NMM (eds). Kluwer Academic Publishers: London, 1999.
Kyprianou A. Non-linear parameter estimation of dynamic models using differential evolution: application to hysteretic systems and hydraulic engine mounts. Ph.D. Thesis, University of Sheffield, 1999.
Meyer S, Link M. Modelling and updating of local non-linearities using frequency response residuals. Mechanical Systems and Signal Processing 2003; 17:219-226.
Schultze JF, Hemez FM, Doebling SW, Sohn H. Application of non-linear system model updating using feature extraction and parameter effect analysis. Shock and Vibration 2001; 8:325-337.
Hemez FM, Doebling SW. Review and assessment of model updating for non-linear, transient dynamics. Mechanical Systems and Signal Processing 2001; 15:45-74.
Rosenberg, RM. The normal modes of nonlinear n-degree-of-freedom systems. Journal of Applied Mechanics 1962; 29:7-14.
Shaw SW, Pierre C. Normal modes of vibration for non-linear continuous systems. Journal of Sound and Vibration 1994; 169:319-347.
Vakakis AF, Manevitch LI, Mikhlin YV, Pilipchuk VN, Zevin AA. Normal Modes and Localization in Nonlinear Systems. Wiley: New York, 1996.
Pesheck E, Pierre C, Shaw SW. A new Galerkin-based approach for accurate non-linear normal modes through invariant manifolds. Journal of Sound and Vibration 2003; 249:971-993.
Berkooz G. Observations on the proper orthogonal decomposition. In Studies in Turbulence, Gatski STB, Sarkar S, Speziale C (eds). Springer: New York, 1991; 179-189.
Cusumano JP, Sharkady MT, Kimble BW. Experimental measurements of dimensionality and spatial coherence in the dynamics of a flexible-beam impact oscillator. Philosophical Transactions of the Royal Society of London 1994; 347:421-438.
Azeez MFA, Vakakis AF. Proper orthogonal decomposition of a class of vibroimpact oscillations. Journal of Sound and Vibration 2001; 240:859-889.
Georgiou IT, Schwartz IB. Dynamics of large scale coupled structural-mechanical systems: a singular perturbation proper orthogonal decomposition approach. SIAM Journal of Applied Mathematics 1999; 59: 1178-1207.
Li R, Ghanem R. Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration. Probabilistic Engineering Mechanics 1998; 13:125-136.
Kappagantu R, Feeny BE Part 1: Dynamical characterization of a frictionally excited beam. Nonlinear Dynamics 1999; 22:317-333.
Kappagantu R, Feeny BE Part 2: Proper orthogonal modeling of a frictionally excited beam. Nonlinear Dynamics 1999; 23: 1-11.
Lenaerts V, Kerschen G, Golinval JC. Identification of a continuous structure with a geometrical non-linearity, part II: proper orthogonal decomposition. Journal of Sound and Vibration 2003; 262:907-919.
Hasselman TK, Anderson MC, Gan WG. Principal component analysis for nonlinear model correlation, updating and uncertainty evaluation. Proceedings of the 16th International Modal Analysis Conference, Santa Barbara, U.S.A., 1998; 644-651.
Hemez FM, Doebling SW. Test analysis correlation and finite element model updating for nonlinear transient dynamics. Proceedings of the 17th International Modal Analysis Conference, Kissimmee, U.S.A., 1999; 1501-1510.
Holmes P, Lumley JL, Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge: New York, 1996.
Feeny BF, Kappagantu R. On the physical interpretation of proper orthogonal modes in vibrations. Journal of Sound and Vibration 1998; 211:607-616.
Kerschen G, Golinval JC. Physical interpretation of the proper orthogonal modes using the singular value decomposition. Journal of Sound and Vibration 2002; 249:849-865.
Kramer MA. Nonlinear principal component analysis using autoassociative neural networks. American Institute of Chemical Engineers Journal 1991; 37:233-243.
Sohn H, Worden K, Farrar CR. Novelty detection under changing environmental conditions. Proceedings of SPIE's 8th Annual International Symposium on Smart Structures and Materials, Newport Beach, U.S.A., 2001.
Cybenko G. Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals, and Systems 1989; 2:303-314.
Mares C, Mottershead JE, Friswell MI. Results obtained by minimising natural frequency errors and using physical reasoning. Mechanical Systems and Signal Processing 2003; 17:39-46.
Kerschen G. On the model validation in non-linear structural dynamics. Ph.D. Thesis, University of Liege, 2003 (available at http://www.ulg.ac.be/Itas-vis/publications/abstracts/publik/publik.html).
Storn R. On the usage of differential evolution for function optimization. Proceedings of the 1996 North American Fuzzy Information Processing Society, Berkeley, U.S.A., 1996.
Storn R, Price K. Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces. Journal of Global Optimization 1997; 11:341-359.
Scholz M, Vigario R. Nonlinear prinicipal component analysis: a new hierarchical approach. Proceedings of the European Symposium on Artificial Neural Networks, Bruges, Belgium, 2002.
Bishop CM. Neural Networks for pattern Recognition. Oxford University Press: Oxford, 1995.