| Preface |
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ix | |
| Acknowledgments |
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xi | |
| About the Authors |
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xiii | |
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Part I Theoretical Foundation of Rotor Dynamics |
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1 Introduction to Rotational Physics |
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3 | (28) |
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1.1 Fixed Coordinate System |
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3 | (2) |
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1.2 Rotating Coordinate System |
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5 | (1) |
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1.3 Forces in the Rotating System |
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6 | (1) |
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1.4 Transformation between Coordinate Systems |
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7 | (3) |
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1.5 Kinetic Energy Due to Translational Displacement |
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10 | (2) |
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1.6 Kinetic Energy Due to Rotational Displacement |
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12 | (5) |
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1.7 Equation of Motion in Rotating Coordinate System |
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17 | (6) |
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1.8 Equation of Motion in the Fixed Coordinate System |
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23 | (8) |
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2 Coupled Solution Formulations |
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31 | (18) |
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2.1 Matrix Formulation of Lagrange's Equations |
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31 | (1) |
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2.2 Coupling Nodal Translations to the Stationary Part |
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32 | (3) |
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2.3 Simultaneous Coupling of Translations and Rotations |
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35 | (3) |
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2.4 Full Coupling of the Stationary and Rotating Parts |
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38 | (6) |
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2.5 Time-Dependent Terms of Equations |
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44 | (5) |
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3 Finite Element Analysis of Rotating Structures |
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49 | (18) |
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3.1 Potential Energy of Structure |
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50 | (2) |
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52 | (5) |
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3.3 Nondissipative Forces |
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57 | (1) |
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3.4 Finite Element Equation Assembly |
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58 | (1) |
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3.5 Coupled Equilibrium Equation Assembly |
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59 | (3) |
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3.6 Analysis Equilibrium Equations |
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62 | (5) |
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4 Computational Solution Techniques |
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67 | (16) |
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4.1 Direct Time Domain Solution of the Equilibrium Equation |
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67 | (2) |
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4.2 Direct Frequency Domain Solution |
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69 | (1) |
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4.3 Direct Free Vibration Solution |
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70 | (3) |
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4.4 Modal Solution Technique |
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73 | (4) |
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77 | (2) |
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79 | (4) |
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5 Numerical Solution Techniques |
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83 | (16) |
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83 | (4) |
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5.2 Orthogonal Factorization |
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87 | (1) |
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5.3 The Block Lanczos Method |
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88 | (2) |
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5.4 Solution of Periodic Equations |
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90 | (9) |
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Part II Engineering Analysis of Rotating Structures |
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6 Resonances and Instabilities |
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99 | (32) |
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6.1 Analysis Type vs. Modeling Approach |
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99 | (1) |
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6.2 Resonances and Instabilities |
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100 | (2) |
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6.3 Critical Speed of Rotating Mass |
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102 | (3) |
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105 | (3) |
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108 | (2) |
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6.6 Unsymmetric Effects of Bearing and Rotor |
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110 | (3) |
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113 | (5) |
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6.8 Rotating Model with Flexible Arms |
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118 | (7) |
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125 | (6) |
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7 Dynamic Response Analysis |
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131 | (18) |
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7.1 Frequency Response without Rotation |
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131 | (4) |
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7.2 Frequency Response with Rotation |
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135 | (4) |
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7.3 Transient Response without Rotation |
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139 | (5) |
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7.4 Transient Response with Rotation |
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144 | (5) |
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8 A Finite Element Case Study |
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149 | (22) |
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8.1 Turbine Wheel with Shaft and Blades |
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149 | (2) |
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151 | (2) |
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8.3 Computational Statistics |
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153 | (4) |
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157 | (9) |
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8.5 Active External Loads |
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166 | (5) |
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9 Analysis of Aircraft Propellers |
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171 | (32) |
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171 | (8) |
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9.2 Quasi-steady Aerodynamics of Blade |
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179 | (7) |
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9.3 Unsteady Aerodynamics of Blade |
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186 | (7) |
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9.4 Propeller with Four Blades |
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193 | (10) |
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10 Analysis of Wind Turbines |
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203 | (64) |
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10.1 An Example Wind Turbine |
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203 | (1) |
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10.2 Modeling and Analysis of Wind Turbine Blade |
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204 | (22) |
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10.3 Wind Turbine with Three Blades |
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226 | (17) |
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10.4 Response Analysis of Wind Turbines |
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243 | (13) |
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10.5 Horizontal Axis Wind Turbines with Two Blades |
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256 | (11) |
| Appendix |
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267 | (4) |
| References |
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271 | (2) |
| Index |
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273 | |