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J.C. Slater. A numerical method for determining non linear normal modes. Nonlineardynamics, lo :19-30, 1996.Numerical Recipe Software. Numerical recipes in C The art of scientific computing.cambridge University Press Programs, 1992.H. W. Song and W. L. Wang. Non-linear system identification using frequency domainmeasurement data. In 16th Internationnal Modal Analysis Congress, volume 2, pages 1012-1016, 1997.P.T.D. Spanos and W.D. Iwan. On the existence and uniqueness of solutions generated byequivalent linearisation. International Journal on Non-linear Mechanics, 13 :71-78, 1978.E. Sperling. Shimmy problems of landing gears caused by elastic deformation of tyres.ICAS and AIAA Papers, ICAS-86-5.9.2 :1372-1382, 1986.W. Szempliùska-Stupnika. On normal coordinates in an analysis of steady-state forcedvibrations of a nonlinear multiple-degree-of-freedom system. Archives of mechanics,21(5) :603-621, 1969.W. Szempliùska-Stupnika. The modified single mode method in the investigation of theresonant vibration of non-linear systems. Journal of Sound and Vibration, 104(2) :475-489,1979.W. Szempliùska-Stupnika. The behaviour of nonlinear vibrating systems, volume II: AdvancedConcepts and Application to single-degree-of-freedom systems. Kluwer AcademicPublishers, Dordrecht, 1990. 330 p.W. Szempliùska-Stupnika. The behaviour of nonlinear vibrating systems, volume I : Fundamentalconcepts and methods : Application to single-degree-of-freedom systems. KiuwerAcademic Publishers, Dordrecht, 1990. 253 p.I. Tawfiq and T. Vinh. Sur diverses méthodes de calcul des fonctions de transfer desstructures non-linéaire (étude critique). Mécanique Industrielle et Matériaux, 48(3) :157-161, 1995.F. Thouverez. Identification temporelle des structures non-linéaires. PhD thesis, EcoleCentrale de Lyon, 1992.A. F. Vakakis and D. J. Ewins. Effects of weak non-linearities on modal analysis. MechanicalSystems and Signal Processing, 8 :175-198, 1994.A.F. Vakakis and T.K. Caughey. A theorem on the exact nonsimilar steady-state motionsod a nonlinear oscillator. ASME, Journal of Applied Mechanics, 59 :418-424, 1994.R. Van Der Valk and H.B. Pacejka. An analysis of a civil aircraft main gear shimmy failure.Vehicle System Dynamics, 22 :119-158, 1993.M. Xianghong and A. F. Vakakis. Nonlinear transient localisation and low dimensionalmodels of a flexible system with a clearance. In ASME Design Engineering TechnicalConferences, Las Vegas, Nevada, pages 1-9, 1999.L.D. Zadovney. Can the modal analyst afford to be ignorant of nonlinear vibration phenomena?In 5th Internationnal Modal Analysis Congress, Orlando, Florida, pages 154-159,1987.
dernière page de la thèseAUTORISATION DE SOUTENANCEVu les dispositions de l'arrêté du 30 Mars 1992,Vu la demande du Directeur de ThèseMonsieur L. JEZEQUELet les rapports deMonsieur P. DRAZETICProfesseur - Université de Valenciennes - L.G.M. - Le Mont Houy - BP 311 - 59304 VALENCIENNESCedexet deMonsieur D. LE HOUEDECProfesseur - Ecole Centrale de Nantes - 1, rue de la Noé - 44071 NANTES Cedex 03Monsieur GIBERT Claudeest autorisé à soutenir une thèse pour l'obtention du grade de DOCTEUREcole doctorale MECANIQUE, ENERGETIQUE, GENIE CIVIL et ACOUSTIQUE (MEGA)Fait à Ecully, le 26 juin 2001P/Le Directeur de I'E.C.L.Le DirecteUr des EtudesF. LEBOEUF
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ECOLE CENTRALE DE LYONAnnée 2001 N
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ECOLE CENTRALE DE LYONListe des per
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ECOLE CENTRALE DE LYONListe des per
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RemerciementsCe travail a été ré
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4TITRE et RESUME en anglais:Expéri
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6 TABLE DES MATIÈRES2.5.1 Introduc
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8 INTRODUCTIONIntroductionDans le c
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10 INTRODUCTIONsont proposés pour
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12 CHAPITRE 1. LES MODES NORMAUX DE
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ji28 CHAPITRE 1. LES MODES NORMAUX
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30 CHAPITRE 2. APPROXIMATION DES MO
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32 CHAPITRE 2.APPROXIMATION DESMODE
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m2x2+c2x2+k2(x2xl)+k3(x2x3)+a2(x2--
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68 CHAPITRE 3. SYSTÈMES DISSIPATIF
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70 CHAPITRE 3. SYSTÈMES DISSIPA TI
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Chapitre 4Analyse des phénomènesn
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78 CHAPITRE 4. ANALYSE DES PHÉNOM
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Chapitre 5Identification non-linéa
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98 CHAPITRE 5. IDENTIFICATION NON-L
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looCHAPITRE 5. IDENTIFICATION NON-L
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102 CHAPITRE 5. IDENTIFICATION NON-
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Page 168 and 169: Bibliographie[ 1] T.J. Anderson, B.
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