Generation of accurate finite element models of nonlinear systems - Application to an aeroplane-like structure

Kerschen, Gaëtan; Golinval, Jean-Claude

doi:10.1007/s11071-005-1919-8

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Article (Scientific journals)

Generation of accurate finite element models of nonlinear systems - Application to an aeroplane-like structure

Kerschen, Gaëtan; Golinval, Jean-Claude

2005 • In Nonlinear Dynamics, 39 (1-2), p. 129-142

Peer reviewed

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https://hdl.handle.net/2268/18989

DOI
10.1007/s11071-005-1919-8

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Keywords :

conditioned reverse path method; finite element model updating and validation; nonlinear systems; system identification

Abstract :

[en] Model updating and validation is currently a central issue in the fields of computational structural mechanics and dynamics. The vast majority of applications however concerns linear structures. On the other hand, updating nonlinear models is something the structural dynamicist prefers to avoid mainly because tools such as modal analysis are no longer available. The objective of the present study is to propose a two-step methodology for dealing with nonlinear systems. Its most appealing feature is that it decouples the estimation of the linear and nonlinear parameters. A numerical application consisting of an aeroplane-like structure is used to assess the efficiency of the procedure.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others
Mechanical engineering
Aerospace & aeronautics engineering

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 :

Generation of accurate finite element models of nonlinear systems - Application to an aeroplane-like structure

Publication date :

January 2005

Journal title :

Nonlinear Dynamics

ISSN :

0924-090X

eISSN :

1573-269X

Publisher :

Springer, Dordrecht, Netherlands

Volume :

Issue :

1-2

Pages :

129-142

Peer reviewed :

Peer reviewed

Available on ORBi :

since 18 August 2009

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50 (2 by ULiège)

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3 (1 by ULiège)

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Bibliography

Berman, A. and Nagy, E. J., 'Theory of incomplete models of dynamic structures', AIM Journal 9, 1971, 1481-1487.
Baruch, M., 'Optimization procedure to correct stiffness and flexibility matrices using vibration test', AIM Journal 16, 1978, 1208-1210.
Friswell, M. I. and Mottershead, J. E., Finite Element Model Updating in Structural Dynamics, Kluwer, Dordrecht, The Netherlands, 1995.
Link, M., 'Updating of analytical models - basic procedures and extensions', in Modal Analysis & Testing, J. M. M. Silva and N. M. M. Maia (eds.), Kluwer, Dordrecht, The Netherlands, 1999.
Schultze, J. F., Hemez, F. M., Doebling, S. W., and Sohn, H., 'Application of non-linear system model updating using feature extraction and parameter effect analysis', Shock and Vibration 8, 2001, 325-337.
Ma, X., Vakakis, A. F., and Bergman, L. A., 'Karhunen-Loève modes of a truss: Transient response reconstruction and experimental verification', AIAA Journal 39, 2001, 687-696.
Lenaerts, V., Kerschen, G., and Golinval, J. C., 'Proper orthogonal decomposition for model updating of non-linear mechanical systems', Mechanical Systems and Signal Processing 15, 2001, 31-43.
Hemez, F. M. and Doebling, S. W., 'Review and assessment of model updating for non-linear, transient dynamics', Mechanical Systems and Signal Processing 15, 2001, 45-73.
Kerschen, G., 'On the Model Validation in Non-Linear Structural Dynamics', Ph.D. Thesis, University of Liege, Belgium, 2003 (available at http://www.ulg.ac.be/ltas-vis/publications/abstracts/publik/publik.html).
Bellizzi, S. and Defilippi, M., 'Non-linear mechanical systems identification using linear systems with random parameters', Mechanical Systems and Signal Processing 17, 2003, 203-210.
Meyer, S. and Link, M., 'Modelling and updating of local non-linearities using frequency response residuals', Mechanical Systems and Signal Processing 17, 2003, 219-226.
Ewins, D. J., Modal Testing: Theory, Practice and Application, 2nd edn., Research Studies Press, UK, 2000.
Richards, C. M. and Singh, R., 'Identification of multi-degree-of-freedom non-linear systems under random excitations by the reverse-path spectral method', Journal of Sound and Vibration 213, 1998, 673-708.
Bendat, J. S., Nonlinear System Analysis and Identification from Random Data, Wiley, New York, 1990.
Bendat, J. S., 'Spectral techniques for nonlinear system analysis and identification', Shock and Vibration 1, 1993, 21-31.
Rice, H. J. and Fitzpatrick, J. A., 'A procedure for the identification of linear and non-linear multi-degree-of-freedom systems', Journal of Sound and Vibration 149, 1991, 397-411.
Marchesiello, S., 'Application of the conditioned reverse path method', Mechanical Systems and Signal Processing 17, 2003, 183-188.
Kerschen, G., Lenaerts, V., and Golinval, J. C., 'Identification of a continuous structure with a geometrical non-linearity, Part I: Conditioned reverse path method', Journal of Sound and Vibration 262, 2002, 889-906.
Bendat, J. S., Random Data: Analysis and Measurement Procedures, Wiley, New York, 1986.
Arruda, J. R. F. and Santos, J. M. C., 'Mechanical joint parameter estimation using frequency response functions and component mode synthesis', Mechanical Systems and Signal Processing 7, 1993, 493-508.
Balmès, E., 'A finite element updating procedure using frequence response functions. Application to the MIT/SERC interferometer testbed', in Proceedings of the XI Internation Modal Analysis Conference, Kissimmee, Florida, 1993, pp. 176-182.
Lin, R. and Ewins, D. J., 'Analytical model improvement using frequency response functions', Mechanical Systems and Signal Processing 8, 1994, 437-458.
Lammens, S., 'Frequency Response Based Validation of Dynamic Structural Finite Element Models', Ph.D. Thesis, Katholieke Universiteit Leuven, Belgium, 1995.
Pascual Jimenez, R., Razeto, M., Golinval, J. C., and Schalchli, R., 'A robust FRF-based technique for model updating', in Proceedings of the International Conference on Noise and Vibration Engineering, Leuven, 2002, pp. 1037-1045.
Kidder, R., 'Reduction of structural frequency equations', AIAA Journal 11, 1973, 892.
http://www.ulg.ac.be/ltas-vis/costf3/costf3.html, portal Website of the COST-F3 action.
Pascual Jimenez, R., 'Model Based Structural Damage Assessment Using Vibration Measurements', Ph.D. Thesis, University of Liege, Belgium, 1999.
Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. V., Pilipchuk, V. N., and Zevin, A. A., Normal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.
Pesheck, E., Pierre, C., and Shaw, S. W., 'A new Galerkin-based approach for accurate non-linear normal modes through invariant manifolds', Journal of Sound and Vibration 249, 2002, 971-993.
Peifer, M., Timmer, J., and Voss, H. U., 'Nonparametric identification of nonlinear scillating systems', Journal of Sound and Vibration 267, 2003, 1157-1167.
Hemez, F. M. and Doebling, S. W., 'Uncertainty, validation of computer models and the myth of numerical predictability', in Proceedings of the International Conference on Structural System Identification, Kassel, Germany, 2001, pp. 13-35.