Linear and nonlinear rotordynamics
A modern treatment with applications
Yoshihisa Yamamoto, Yukio Ishida
326 pages, parution le 31/10/2001
Résumé
The scope of this book includes most branches of
rotodynamics with an emphasis on those topics that deal
with how to understand and solve vibration problems.
Rotating machinery such as steam turbines, internal
combustion engines, and electric motors are the most widely
used elements in mechanical systems. As the rotating parts
in such machinery are often the main sources of vibration,
the correct understanding of vibration phenomena (an
important part of nonlinear dynamics) and knowledge of
rotordynamics are essential for considering adequate means
to eliminate vibrations.
Table of Contents
| Foreword | ||
| Preface | ||
| 1 | Introduction | 1 |
| 2 | Vibrations of Massless Shafts with Rigid Disks | 6 |
| Rotor Unbalance | 7 | |
| Lateral Vibrations of an Elastic Shaft with a Disk at Its Center | 8 | |
| Inclination Vibrations of an Elastic Shaft with a Disk at Its Center | 14 | |
| Vibrations of a 4DOF System where a Deflection Motion and an Inclination Motion Couple with Each Other | 21 | |
| Vibrations of a Rigid Rotor | 31 | |
| Balancing of a Rigid Rotor | 34 | |
| Approximate Formulas for Critical Speeds of a Shaft with Several Disks | 41 | |
| Suppression of Vibrations by Dampers | 43 | |
| 3 | Vibrations of a Continuous Rotor | 45 |
| Equations of Motion | 46 | |
| Free Vibrations and Critical Speeds | 51 | |
| Forced Vibrations | 56 | |
| Balancing of a Flexible Rotor | 60 | |
| 4 | Vibrations of an Asymmetrical Shaft and an Asymmetrical Rotor | 67 |
| Asymmetrical Shaft with a Disk at Midspan | 68 | |
| Symmetrical Shaft with an Asymmetrical Rotor | 77 | |
| Double-Frequency Vibrations of an Asymmetrical Horizontal Shaft | 85 | |
| 5 | Nonlinear Vibrations | 88 |
| Causes and Expressions of Nonlinear Spring Characteristics: Weak Nonlinearity | 89 | |
| Expressions of Equations of Motion Using Physical and Normal Coordinates | 94 | |
| Various Types of Nonlinear Resonances | 96 | |
| Nonlinear Resonances in a System with Radial Clearance: Strong Nonlinearity | 114 | |
| Nonlinear Resonances of a Continuous Rotor | 120 | |
| Internal Resonance Phenomenon | 127 | |
| Vibrations of a Cracked Rotor | 132 | |
| 6 | Self-Excited Vibrations Due to Internal Damping | 140 |
| Friction in Rotor Systems and Its Representations | 141 | |
| Self-Excited Vibrations Due to Hysteretic Damping | 148 | |
| Self-Excited Vibrations Due to Structural Damping | 153 | |
| 7 | Nonstationary Vibrations During Passage Through Critical Speeds | 157 |
| Equations of Motion for Lateral Motion | 158 | |
| Transition with Constant Acceleration | 160 | |
| Transition with Limited Driving Torque | 164 | |
| Analysis by the Asymptotic Method (Nonlinear System, Constant Acceleration) | 171 | |
| 8 | Vibrations Due to Mechanical Elements | 180 |
| Ball Bearings | 180 | |
| Bearing Pedestals with Directional Difference in Stiffness | 187 | |
| Universal Joint | 189 | |
| Self-Excited Vibrations Due to Contact | 192 | |
| 9 | Flow-Induced Vibrations | 196 |
| Oil Whip and Oil Whirl | 197 | |
| Seals | 210 | |
| Tip-Clearance Excitation | 214 | |
| Hollow Rotor Partially Filled with Liquid | 215 | |
| 10 | Finite Element Method | 224 |
| Fundamental Procedure of the Finite Element Method | 224 | |
| Discretization of a Rotor System | 226 | |
| Free Vibrations: Eigenvalue Problem | 243 | |
| Forced Vibrations | 247 | |
| Alternative Procedure | 248 | |
| 11 | Transfer Matrix Method | 250 |
| Fundamental Procedure of the Transfer Matrix Method | 250 | |
| Free Vibrations of a Rotor | 259 | |
| Forced Vibrations of a Rotor | 267 | |
| 12 | Measurement and Signal Processing | 273 |
| Measurement and Sampling Problem | 274 | |
| Fourier Series | 276 | |
| Fourier Transform | 277 | |
| Discrete Fourier Transform | 279 | |
| Fast Fourier Transform | 283 | |
| Leakage Error and Countermeasures | 284 | |
| Applications of FFT to Rotor Vibrations | 286 | |
| App. A | Moment of Inertia and Equations of Motion | 292 |
| App. B | Stability Above the Major Critical Speed | 295 |
| App. C | Deriviation of Equations of Motion of a 4DOF Rotor System by Lagrange's Equations | 298 |
| App. D | Asymmetrical Shaft and Asymmetrical Rotor with Four Degrees of Freedom | 301 |
| App. E | Transformation of Equations of Motion to Normal Coordinates: 4DOF Rotor System | 306 |
| App. F | Routh-Hurwitz Criteria for Complex Expression | 310 |
| App. G | FFT Program | 312 |
| Bibliography | 315 | |
| Index | 323 |
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Wiley |
| Auteur(s) | Yoshihisa Yamamoto, Yukio Ishida |
| Parution | 31/10/2001 |
| Nb. de pages | 326 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 382g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780471181750 |
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