Title Page
Contents
NOMENCLATURE 9
1.0. INTRODUCTION 13
1.1. Shaft Misalignment and Flexible Coupling Study 15
1.1.1. Shaft Misalignment 15
1.1.2. Flexible Couplings 18
1.1.3. Historical Review of Theoretical Analyses 22
1.1.4. Experimental Studies 25
1.2. Computational Methods in Rotor dynamics 27
1.3. Dissertation Outline 29
2.0. MODELING OF ROTOR WITH MISALIGNMENT 32
2.1. Modeling of rotor 32
2.1.1. Damping and Gyroscopic Effects 34
2.1.2. Residual Shaft Bow and Permanent Disk Skew Effects 36
2.1.3. Basic Assumptions 37
2.2. Derivation of Rotor Force Vector 39
2.2.1. Mass unbalance and Residual shaft bow 39
2.2.2. Disk Skew 43
2.3. Torque Due to Geometric Misalignment 44
2.3.1. Torque caused by turning through misalignment angle 45
2.3.2. Forces and torques caused by mass unbalances and misalignment angles 50
2.3.3. Torque caused by disk skew and misalignment angles 54
3.0. MODELING OF GEAR COUPLING WITH MISALIGNMENT 56
3.1. Torque Due to Gear Coupling Misalignment 56
3.1.1. Misalignment angle and tooth force 57
3.1.2. Torque caused by shifting of contact point and friction forces 66
3.2. Variation of Torque Due to Angular Acceleration 73
3.2.1. Variation of normal force 73
3.3. Modeling of the Gear Coupling 79
3.3.1. Static analysis 79
3.3.2. Dynamic model 82
4.0. NUMERICAL ANALYSIS 93
4.1. Pseudo Modal method 93
4.2. Critical Speeds and Instability 96
4.3. Response of Mass Unbalance, Residual Shaft Bow and Disk Skew 97
4.4. Forced Response to Misalignment 98
4.5. Forced Response to Mass Unbalance, Residual Shaft Bow, Disk Skew and Misalignment 100
5.0. EXPERIMENTAL STUDY 103
5.1. Experimental Setup 103
5.1.1. Rotordynamic Test Rig 103
5.1.2. Couplings 105
5.1.3. Instrumentation 106
5.2. Shaft Alignment 107
5.2.1. Shaft Alignment method 107
3.2.2. Application of Reverse Indicator method 107
5.3. Modal testing 108
5.4. Dynamic Experimental Procedure 109
6.0. RESULTS AND DISCUSSION 111
6.1. System Natural Frequencies 111
6.2. Unbalance Response 112
6.3. Response to Coupling Misalignment 118
7.0. CONCLUSION 126
7.1. Concluding Remarks 126
7.2. Recommendations for Further Study 128
REFERENCE 129
APPENDICES 140
APPENDIX A. COMPONENT CONFUGURATION DATA 140
APPENDIX B. FINETE ELEMENT MODEL OF ROTOR SYSTEM AND GEAR COUPLING 142
B.1. SYSTEM CONFIGURATION AND COORDINATES 142
B.2. COMPONENT EQUATIONS 142
APPENDIX C. KINEMATICS OF UNIVERSAL JOINT 157
C.1. VELOCITY ANALYSIS 157
C.2. ACCELERATION ANALYSIS 160
APPENDIX D. GEOMETRY OF GEAR COUPLING 162
D.1. CLEARANCE REDUCTION 162
APPENDIX E. SHAFT ALIGNMENT PROCEDURE 165
E.1. REVERSE INDICATOR METHOD 165
E.2. APPLICATION OF REVERSE INDICATOR METHOD 166
APPENDIX F. BALANCING PROCEDURE 175
F.1. DISCUSSION OF BALANCING METHODS 179
Abstract 183
요약 185