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Cover CONTENTS CHINESE ABSTRACT ENGLISH ABSTRACT ACKNOWLEDGEMENTS CONTENTS LIST OF TABLES LIST OF FIGURES LIST OF PHOTOGRAPHS NOMENCLATURE CHAPTER 1 INTRODUCTION 1.1 General Statements of Problem 1.2 Background Review 1.3 Proposed Approach 1.4 Organization CHAPTER 2 FINITE ELEMENT FORMULATION OF THE ORTOR-BEARING SYSTEM 2.1 Equations of Motion for the Shafft Element 2.2 The Finite Element Model of the rotor-bearing System CHAPTER 3 IDENTIFICATION FROM TIME-DEMAIN BASED ON THE FINITE ELEMENT MODEL 3.1 Derivation of Identification Formula for Case T-A ─Rotor Parameter Are All Known 3.2 Derivation of Indetification Formula for Case T-B ─Rotor Parameters in the Vicinity of the Supports Are Known 3.3 Derivation of Indetification Formula for Case T-B ─Rotor Parameters Are Unknown except for the Masses of the Elements in the Vicinity of the Supports 3.4 The Bias Problem 3.5 Relation of Noise to Signal Ration between measurements and Artificial Forces 3.6 Improvement of Identification Parocedure 3.7 Digital Simulation and Discussion CHAPTER 4 IDENTIFICATION FROM FREQUENCY-DOMAIN BASED ON THE FINITE ELEMENT MODEL 4.1 Derivation of Identification Formula for Case F-A─Rotor Parameter Are All Known 4.2 Derivation of Identification Formula for Case F-B─Rotor Parameter in the Vicinity of the Supports Are Known 4.3 Derivation of Identification Formula for Case F-C─Rotor Parameter Are Unknown except for the Masses of the Elements in the Vicinity of the Supports 4.4 Digital Simulation and Discussion CHAPTER 5 GENERAL TRANSFER MATRIX FORMULATION OF THE ROTOR-BEARING SYSTEM 5.1 Equations of Mode Functions for the Unbalance Shaft 5.2 Feneral Solutions of Mode Functions 5.3 The Transfer Matrix of the Shaft 5.4 Overall Transfer Matrix of hole System CHAPTER 6 IDENTIFICATION BASED ON THE GENERAL TRANSFER MATRIX MODEL 6.1 Derivation of Identification Formula for Case G-A─Deflections and Deflection Angle Are Measurable 6.2 Derivation of Identification Formula for Case G-B─Only Deflections Are Measurable 6.3 Digital Simulation and Discussion CHAPTER 7 EXPERIMENTAL SETUP AND RESULTS 7.1 Test Rig 7.2 Experimental Instrumentation 7.3 Experimental Procedure and Results CHAPTER 8 CONCLUSION REFERENCES APPENDIX A Local Matrices APPENDIX B Contribution of Velocity Term in Equations(2.11)and (3.27) APPENDIX C Detail of ai APPENDIX D Detail of Modified ai APPENDIX E Derivatio of the Matrices E,F,G,H,co,so,ωc,ωs,fac,fas in Sections 3.1 APPENDIX F Details of ,u,and v APPENDIX G Elemens of Matrix H APPENDIX H Elements of Matrix T口 APPENDIX I Elements of Matrix A
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