[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 the companion paper (Part I) [1] the ability of the conditioned reverse path method, which is a frequency domain technique, to identify the behaviour of this structure-is assessed. This 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 :
Lenaerts, V.
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 :
Identification of a continuous structure with a geometrical non-linearity. Part II: Proper orthogonal decomposition
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
G. Kerschen, V. Lenaerts, J.-C. Golinval, Identification of a continuous structure with a geometrical non-linearity. Part I: Conditioned reverse path method, Journal of Sound and Vibration, this issue.
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.
D.E. Adams, R.J. Allemang, Characterization of nonlinear vibrating systems using internal feedback and frequency response modulation. American Society of Mechanical Engineers Journal of Vibration and Acoustics 121 (1999) 495-500.
B.F. Feeny, Interpreting proper orthogonal modes in vibrations, Proceedings of DET'97 Design Engineering Technical Conferences, Sacramento, USA, 1997.
G. Kerschen, J.C. Golinval, Physical interpretation of the proper orthogonal modes using the singular value decomposition, Journal of Sound and Vibration 249 (5) (2002) 849-865.
M.F.A. Azeez, A.F. Vakakis, Numerical and experimental analysis of the nonlinear dynamics due to impacts of a continuous overhung rotor, Proceedings of DETC'97, ASME Design Engineering Technical Conferences, Sacramento, USA, 1997.
J.L. Lumley, The structure of inhomogeneous turbulent flows, in: A.M. Yaglom, V.I. Tatarski (Eds.), Atmospheric Turbulence and Radio Wave Propagation, Nauka, Moscow, 1967.
A. Newman, P.S. Krishnaprasad, Non-linear Model Reduction for RTCVD, Proceedings of the 32nd Conference on Information Sciences and Systems, Princeton, USA, 1998.
G. Uytterhoeven, Software and Applications, Ph.D. Thesis, Katholieke Universiteit Leuven, 1999.
J.P. Cusumano, B.-Y. Bai, Period-infinity periodic motions, chaos, and spatial coherence in a 10 degree of freedom impact oscillator, Chaos Solitons Fractals 3 (1994) 515-536.
W. Casemier, Proper Orthogonal Decomposition and Low Dimensional Models for Turbulent Flows, Ph.D. Thesis, Rijksuniversiteit Groningen, 1997.
M.F.A. Azeez, A.F. Vakakis, Proper orthogonal decomposition (POD) of a class of vibroimpact oscillations. Internal report, Department of Mechanical and Industrial Engineering, University of Illinois at Urbana Champaign, 1998.
F.M. Hemez, S.W. Doebling, Test analysis correlation and finite element model updating for nonlinear transient dynamics, Proceedings of the 17th International Modal Analysis Conference, Kissimmee, USA, 1999, pp. 1501-1510.
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.
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.
