S. Adhikari, Optimal complex modes and an index of damping non-proportionality, Mechanical Systems and Signal Processing, vol.18, issue.1, pp.1-27, 2004.
DOI : 10.1016/S0888-3270(03)00048-7

M. S. Alam, A unified Krylov???Bogoliubov???Mitropolskii method for solving nth order nonlinear systems, Journal of the Franklin Institute, vol.339, issue.2, pp.239-248, 2002.
DOI : 10.1016/S0016-0032(02)00020-0

P. Apiwattannalunggarn, Model reduction of nonlinear structural systems using nonlinear normal modes and component mode synthesis, 2003.

P. Argoul, S. Erlicher, and T. M. Nguyen, Free oscillations of a beam with a local nonlinearity : Comparison of mechanical modeling and experiments by means of wavelet analysis, Proceedings of DETC2005 : 20th Biennial Conf. on Mechanical Vibration and Noise, pp.1347-1356, 2005.

P. Argoul, S. Hans, F. Conti, and C. Boutin, Time-frequency of free oscillations of mechanical structures. Application to the identification of the mechanical behaviour of buildings under shocks, COST F3 Conf. on System Identification and Structural Health Monitoring, pp.238-292, 2000.

P. Argoul and L. , INSTANTANEOUS INDICATORS OF STRUCTURAL BEHAVIOUR BASED ON THE CONTINUOUS CAUCHY WAVELET ANALYSIS, Mechanical Systems and Signal Processing, vol.17, issue.1, pp.243-250, 2003.
DOI : 10.1006/mssp.2002.1557

R. Arquier, S. Bellizzi, R. Bouc, and B. Cochelin, Two methods for the computation of nonlinear modes of vibrating systems at large amplitudes, Computers & Structures, vol.84, issue.24-25, pp.1565-1576, 2006.
DOI : 10.1016/j.compstruc.2006.01.011

URL : https://hal.archives-ouvertes.fr/hal-00088183

J. C. Asmussen, Modal analysis based on the random decrement technique -Application to civil engineering structures, 1997.

L. Azrar, R. Benamar, and R. G. White, SEMI-ANALYTICAL APPROACH TO THE NON-LINEAR DYNAMIC RESPONSE PROBLEM OF S???S AND C???C BEAMS AT LARGE VIBRATION AMPLITUDES PART I: GENERAL THEORY AND APPLICATION TO THE SINGLE MODE APPROACH TO FREE AND FORCED VIBRATION ANALYSIS, Journal of Sound and Vibration, vol.224, issue.2, pp.183-207, 1999.
DOI : 10.1006/jsvi.1998.1893

L. Azrar, R. Benamar, and R. G. White, A SEMI-ANALYTICAL APPROACH TO THE NON-LINEAR DYNAMIC RESPONSE PROBLEM OF BEAMS AT LARGE VIBRATION AMPLITUDES, PART II: MULTIMODE APPROACH TO THE STEADY STATE FORCED PERIODIC RESPONSE, Journal of Sound and Vibration, vol.255, issue.1, pp.1-41, 2002.
DOI : 10.1006/jsvi.2000.3595

L. Azrar, E. H. Boutyour, and M. Potier-ferry, NON-LINEAR FORCED VIBRATIONS OF PLATES BY AN ASYMPTOTIC???NUMERICAL METHOD, Journal of Sound and Vibration, vol.252, issue.4, pp.657-674, 2002.
DOI : 10.1006/jsvi.2002.4049

S. Bellizzi and R. Bouc, A new formulation fot the existence and calculation of nonlinear modes, pp.25-28, 2004.

S. Bellizzi and R. Bouc, A new formulation for the existence and calculation of nonlinear normal modes, Journal of Sound and Vibration, vol.287, issue.3, pp.545-569, 2005.
DOI : 10.1016/j.jsv.2004.11.014

URL : https://hal.archives-ouvertes.fr/hal-00087990

S. Bellizzi, P. Guilleman, and R. Kronland-martinent, IDENTIFICATION OF COUPLED NON-LINEAR MODES FROM FREE VIBRATION USING TIME-FREQUENCY REPRESENTATIONS, Journal of Sound and Vibration, vol.243, issue.2, pp.191-213, 2001.
DOI : 10.1006/jsvi.2000.3407

W. A. Benfield and R. F. Hruda, Vibration Analysis of Structures by Component Mode Substitution, AIAA Journal, vol.9, issue.7, pp.1255-1261, 1971.
DOI : 10.2514/3.49936

P. Bisch, Mécanique des structures, 2003.

N. Boivin, C. Pierre, and S. W. Shaw, Non-linear modal analysis of structural systems featuring internal resonances, Journal of Sound and Vibration, vol.182, issue.2, pp.336-341, 1995.
DOI : 10.1006/jsvi.1995.0201

M. Boltezar and J. Slavic, Enhancements to the continuous wavelet transform for damping identifications on short signals, Mechanical Systems and Signal Processing, vol.18, issue.5, pp.1065-1076, 2004.
DOI : 10.1016/j.ymssp.2004.01.004

R. Bouc and S. Bellizzi, Une nouvelle approche pour l'existence et le calcul des modes non linéaires, pp.39-58, 2003.

F. Bourquin, Synthèse modale et Analyse numérique des multistructuresélastiquesmultistructuresélastiques, 1990.

C. Boutin, S. Hans, I. Erdin, and M. Loriot, Approche de la vulnérabilité sismique par l' ´ etude du comportement de bâtiments réels, 1999.

R. Carmona, W. Hwang, and B. Torrésani, Practical Time-Frequency Analysis, Gabor and Wavelet Transforms with an Implementation in S, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01302102

B. Cochelin, Modes non-linéaires des structuresélastiquesstructuresélastiques : quelques définitions et méthodes de calcul, pp.1-14, 2003.

H. A. Cole, On-The-Line analysis of randoms vibration, pp.68-288, 1968.

R. R. Craig and M. C. Bampton, Coupling of substructures for dynamic analyses, AIAA Journal, vol.6, issue.7, pp.1313-1319, 1968.

R. R. Craig and C. J. Chang, Free-interface methods of substructure coupling for dynamic analysis, AIAA Journal, vol.14, issue.11, pp.1633-1635, 1976.
DOI : 10.2514/3.7264

R. R. Craig and C. J. Chang, On the use of attachement modes in substructure coupling for dynamic analysis, AIAA Journal, vol.77, issue.405, pp.89-99, 1977.

S. Erlicher and P. Argoul, Modal identification of linear non-proportionally damped systems by wavelet transform, Mechanical Systems and Signal Processing, vol.21, issue.3, 2006.
DOI : 10.1016/j.ymssp.2006.03.010

URL : https://hal.archives-ouvertes.fr/hal-00345307

J. V. Ferreira, Dynamic response analysis of structures with nonlinear components Imperial college of science, technology and medecine, 1999.

A. Girard and N. Roy, Dynamique des structures industrielles, 2003.

J. Guckenheimer and P. Holmes, Nonlinear oscillations, dynamical systems and bifurcation of vector field, 1986.

S. Hans, E. Ibraim, S. Pernot, C. Boutin, and C. Lamarque, DAMPING IDENTIFICATION IN MULTI-DEGREE-OF-FREEDOM SYSTEM VIA A WAVELET-LOGARITHMIC DECREMENT???PART 2: STUDY OF A CIVIL ENGINEERING BUILDING, Journal of Sound and Vibration, vol.235, issue.3, pp.375-403, 2000.
DOI : 10.1006/jsvi.1999.2927

URL : https://hal.archives-ouvertes.fr/hal-00814693

M. W. Hirch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra Hurty. Vibration of structural systems by component mode synthesis, AIAA Journal, vol.6, issue.7, pp.678-685, 1965.

S. R. Ibrahim and E. C. Mikulcik, A method for identification of vibration parameters from the free response. The Shock and Vibration Bulletin, pp.183-198, 1977.

T. Iwatsubo, K. Shimbo, . Sh, and . Kawamura, The Study of Nonlinear Vibration Analysis of Rotor System Using Component Mode Synthesis Method, JSME International Journal Series C, vol.45, issue.1, pp.11-12843, 2003.
DOI : 10.1299/jsmec.45.136

L. Jezequel and C. H. Lamarque, Analysis of non-linear dynamical systems by the normal form theory, Journal of Sound and Vibration, vol.149, issue.3, pp.429-459, 1991.
DOI : 10.1016/0022-460X(91)90446-Q

URL : https://hal.archives-ouvertes.fr/hal-00814435

D. Jiang, C. Pierre, and S. W. Shaw, Large-amplitude nonlinear normal modes of piecewise linear systems, Journal of Sound and Vibration, vol.217, issue.3, pp.869-891, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01350797

D. Jiang, C. Pierre, and S. W. Shaw, The construction of non-linear normal modes for systems with internal resonance, International Journal of Non-Linear Mechanics, vol.40, issue.5, pp.729-746, 2005.
DOI : 10.1016/j.ijnonlinmec.2004.08.010

URL : https://hal.archives-ouvertes.fr/hal-01350807

D. Jiang, C. Pierre, and S. W. Shaw, Non-linear normal modes for vibratory systems under harmonic excitation, Journal of Sound and Vibration, vol.288, pp.4-5791, 2005.

H. B. Keller, Lecture on numerical methods in bifurcation problems. Tata Institute of Fundamental Research, 1987.

M. E. King and A. Vakakis, An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems, Journal of Vibration and Acoustics, vol.116, issue.3, pp.332-340, 1993.
DOI : 10.1115/1.2930433

J. Lardies, MODAL PARAMETER ESTIMATION AND MODEL ORDER SELECTION OF A RANDOMLY VIBRATING SYSTEM, Mechanical Systems and Signal Processing, vol.12, issue.6, pp.825-838, 1998.
DOI : 10.1006/mssp.1998.0179

J. Lardies, STATE???SPACE IDENTIFICATION OF VIBRATING SYSTEMS FROM MULTI-OUTPUT MEASUREMENTS, Mechanical Systems and Signal Processing, vol.12, issue.4, pp.543-558, 1998.
DOI : 10.1006/mssp.1998.0155

J. Lardies, M. Ta, and M. Berthillier, Modal parameter estimation based on the wavelet transform of output data, Archive of Applied Mechanics (Ingenieur Archiv), vol.73, issue.9-10, pp.718-733, 2004.
DOI : 10.1007/s00419-004-0329-6

J. Lardì-es and M. Ta, A wavelet-based approach for the identification of damping in non-linear oscillators, International Journal of Mechanical Science, pp.1262-1281, 2005.

T. P. Le, Auscultation dynamique des structuresàstructures`structuresà l'aide de l'analyse de l'analyse continue en ondelettes, 2003.
URL : https://hal.archives-ouvertes.fr/pastel-00000640

T. Le and P. Argoul, Continuous wavelet transform for modal identification using free decay response, Journal of Sound and Vibration, vol.277, issue.1-2, pp.243-250, 2003.
DOI : 10.1016/j.jsv.2003.08.049

M. Legrand, D. Jiang, C. Pierre, and S. W. Shaw, Nonlinear Normal Modes of a Rotating Shaft Based on the Invariant Manifold Method, International Journal of Rotating Machinery, vol.10, issue.4, pp.319-335, 2004.
DOI : 10.1155/S1023621X04000338

URL : https://hal.archives-ouvertes.fr/hal-01354033

V. Lenaerts, G. Kerschen, and J. Golinval, Identification of a continuous structure with a geometrical non-linearity. Part I : Conditioned reverse path method, Journal of Sound and Vibration, pp.889-906, 2003.

V. Lenaerts, G. Kerschen, and J. Golinval, Identification of a continuous structure with a geometrical non-linearity. Part II: Proper orthogonal decomposition, Journal of Sound and Vibration, vol.262, issue.4, pp.907-919, 2003.
DOI : 10.1016/S0022-460X(02)01132-X

R. Lewandowski, Computational formulation for periodic vibration of geometrically nonlinear structures???part 1: Theoretical background, International Journal of Solids and Structures, vol.34, issue.15, pp.1925-1947, 1997.
DOI : 10.1016/S0020-7683(96)00127-8

R. Lewandowski, Computational formulation for periodic vibration of geometrically nonlinear structures???part 2: Numerical strategy and examples, International Journal of Solids and Structures, vol.34, issue.15, pp.1949-1964, 1997.
DOI : 10.1016/S0020-7683(96)00126-6

K. Liu, MODAL PARAMETER ESTIMATION USING THE STATE SPACE METHOD, Journal of Sound and Vibration, vol.197, issue.4, pp.387-402, 1998.
DOI : 10.1006/jsvi.1996.0539

N. M. Maia and J. M. Silva, Theoretical and Experimental Modal Analysis, 1997.

A. H. Nayfeh, On Direct Methods for Constructing Nonlinear Normal Modes of Continuous Systems, Journal of Vibration and Control, vol.1, issue.4, pp.389-430, 1995.
DOI : 10.1177/107754639500100402

A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations, 1979.

T. Nguyen, P. Argoul, and R. Ceravolo, Wavelet analysis of structural responses under ambient excitation, Proceedings of the 6th international Conference on Structural Dynamics, pp.107-112, 2005.

T. M. Nguyen, P. Argoul, G. Bonnet, and E. Silvano, Analyse dynamique d'une poutre linéaire avec une interface non-linéaire, 7e Colloque Nationale en Calcul des Structures, pp.345-350, 2005.

F. Pérignon, Vibrations forcées de structures minces, ´ elastiques, non linéaires, 2004.

E. Pesheck, N. Boivin, C. Pierre, and S. W. Shaw, Nonlinear Modal Analysis of Structural Systems Using Multi-Mode Invariant Manifolds, Nonlinear Dynamics, issue.25, pp.183-205, 2001.
DOI : 10.1007/978-94-017-2452-4_10

E. Pesheck and C. Pierre, A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS, Journal of Sound and Vibration, vol.249, issue.5, pp.971-993, 2002.
DOI : 10.1006/jsvi.2001.3914

E. Pesheck, C. Pierre, and S. W. Shaw, Accurate reduced-order models for a simple rotor blade model using nonlinear normal modes, Mathematical and Computer Modelling, vol.33, issue.10-11, pp.1085-1097, 2001.
DOI : 10.1016/S0895-7177(00)00301-0

URL : http://doi.org/10.1016/s0895-7177(00)00301-0

P. Ribeiro, Non-linear forced vibrations of thin/thick beams and plates by the finite element and shooting methods, Computers & Structures, vol.82, issue.17-19, pp.1413-1423, 2004.
DOI : 10.1016/j.compstruc.2004.03.037

R. M. Rosenberg, On nonlinear vibrations of systems with many degree of freedom, Advanced Appl. Mech, issue.9, pp.155-242, 1966.

S. Rubin, Improved Component-Mode Representation for Structural Dynamic Analysis, AIAA Journal, vol.13, issue.8, pp.995-1006, 1975.
DOI : 10.2514/3.60497

M. Ruzzene, A. Fasana, L. Garibaldi, and B. Piombo, NATURAL FREQUENCIES AND DAMPINGS IDENTIFICATION USING WAVELET TRANSFORM: APPLICATION TO REAL DATA, Mechanical Systems and Signal Processing, vol.11, issue.2, pp.207-218, 1997.
DOI : 10.1006/mssp.1996.0078

R. Seydel, From equilibrium to chaos : Practical bifurcation and stability analysis, 1988.

S. W. Shaw and C. Pierre, Normal Modes for Non-Linear Vibratory Systems, Journal of Sound and Vibration, vol.164, issue.1, pp.85-124, 1993.
DOI : 10.1006/jsvi.1993.1198

S. W. Shaw and C. Pierre, Normal Modes of Vibration for Non-Linear Continuous Systems, Journal of Sound and Vibration, vol.169, issue.3, pp.319-347593, 1990.
DOI : 10.1006/jsvi.1994.1021

URL : https://hal.archives-ouvertes.fr/hal-01471098

W. J. Staszewski, IDENTIFICATION OF DAMPING IN MDOF SYSTEMS USING TIME-SCALE DECOMPOSITION, Journal of Sound and Vibration, vol.203, issue.2, pp.283-305, 1997.
DOI : 10.1006/jsvi.1996.0864

W. J. Staszewski, IDENTIFICATION OF NON-LINEAR SYSTEMS USING MULTI-SCALE RIDGES AND SKELETONS OF THE WAVELET TRANSFORM, Journal of Sound and Vibration, vol.214, issue.4, pp.639-658, 1998.
DOI : 10.1006/jsvi.1998.1616

P. Sundararajan and S. T. Noah, AN ALGORITHM FOR RESPONSE AND STABILITY OF LARGE ORDER NON-LINEAR SYSTEMS ??? APPLICATION TO ROTOR SYSTEMS, Journal of Sound and Vibration, vol.214, issue.4, pp.695-723, 1998.
DOI : 10.1006/jsvi.1998.1614

URL : https://hal.archives-ouvertes.fr/hal-01353830

W. Szemplinska and S. , The Behaviour of Nonlinear Vibrating Systems, Volume II : Advenced Concepts and Application to Multi-Degree-of-Freedom Systems, 1990.

M. N. Ta, Analyse modale par sous-espaces et par la transformation en ondellets, U.F.R des sciences et techniques de l'université de Franche-Compté, 2005.

M. Ta and J. Lardì-es, Identification of weak nonlinearities on damping and stiffness by the continuous wavelet transform, Journal of Sound and Vibration, vol.293, issue.1-2, pp.16-37, 2006.
DOI : 10.1016/j.jsv.2005.09.021

URL : https://hal.archives-ouvertes.fr/hal-00178437

O. Thomas, Analyse et modélisation de vibrations non-liéaires de milieux mincesélastiquesmincesélastiques - Application aux instruments de percussion, 2001.

O. Thomas and F. Trouverez, Panorama des non-linéarités rencontrées en vibration Journée nationale des modes non-linéaires : définitions et applications, 2005.

B. Torrésani, Analyse continue par ondelettes, CNRS Editions, 1995.

C. Touzé, A normal form approach for non-linear normal modes, pp.15-39, 2003.

C. Touzé, O. Thomas, and A. Huberdeau, Asymptotic non-linear normal modes for large-amplitude vibrations of continuous structures, Computers & Structures, vol.82, issue.31-32, pp.2671-2682, 2004.
DOI : 10.1016/j.compstruc.2004.09.003

D. M. Tran, Component mode synthesis methods using interface modes. Application to structures with cyclic symmetry, Computers & Structures, vol.79, issue.2, pp.209-222, 2001.
DOI : 10.1016/S0045-7949(00)00121-8

A. F. Vakakis, L. I. Manevitch, Y. V. Mikhlin, and A. A. Zevin, Normal Modes and Localization in Nonlinear Systems, 1996.