| Description |
1 online resource (367 pages) |
| Series |
Mathematics for Industry ; v. 16 |
|
Mathematics for Industry
|
| Contents |
Preface; Contents; 1 Introduction of Rotordynamics; Abstract; 1.1 Vibration Problems in Rotating Machinery; 1.1.1 Varieties of Rotating Machinery; 1.1.2 Bearings; 1.1.3 Defects in Various Elements and Induced Vibration; 1.1.4 Rotordynamics; 1.2 Types of Vibration in Rotating Machinery; 1.3 Classification of Vibration by Mechanism of Occurrence; 1.4 Simplifying Complicated Phenomena; 2 Basics for a Single-Degree-of-Freedom Rotor; Abstract; 2.1 Free Vibrations; 2.1.1 Natural Frequency; 2.1.2 Calculation of Spring Constant; 2.1.3 Conservation of Energy |
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2.1.4 Mass Effects of Spring on Natural Frequency2.2 Damped Free Vibration; 2.2.1 Mass-Spring-Viscous Damped System; 2.2.2 Measurement of Damping Ratio; 2.2.3 Phase Lead/Lag Corresponding to Damping Ratio; 2.3 Unbalance Vibration of a Rotating Shaft; 2.3.1 Complex Displacement and Equation of Motion; 2.3.2 Complex Amplitude of Unbalance Vibration; 2.3.3 Resonance Curves; 2.3.4 Nyquist Plot; 2.3.5 Bearing Reaction Force at Resonance; 2.3.6 Transmissibility of Unbalance Vibration to Foundation; 2.4 Evaluation of Q-Value; 2.4.1 Q-Value Criterion |
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2.4.2 Measurement of Q-Value by the Half Power Point Method2.4.3 Measurement of Q-Value Using a Nyquist Plot; 2.4.4 Re-evaluation of Q-Value for Rapid Acceleration; 2.4.5 Vibration in Passing Through a Critical Speed; 3 Modal Analysis of Multi-Degree-of-Freedom Systems; Abstract; 3.1 Equation of Motion for a Multi-dof System; 3.1.1 Multiple Mass Systems; 3.1.2 Equation of Motion for a Two-dof System; 3.1.3 Equation of Motion for a Multi-dof System; 3.2 Modal Analysis (Normal Mode Method); 3.2.1 Eigenvalue Analysis; 3.2.2 Orthogonality; 3.2.3 Reduced Order Modal Model; 3.2.4 Vibration Response |
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3.3 Modal Analysis of Beams3.3.1 Natural Frequencies and Eigenmodes; 3.3.2 Correspondence of the Modal Analyses for Multi-dof Systems and Continua; 3.3.3 Reduced Modal Models; 3.3.4 Modal Eccentricity; 3.4 Physical Models from Reduced Modal Models; 3.4.1 Modal Mass; 3.4.2 Equivalent Mass Method; 3.5 Approximation of Natural Frequencies; 3.5.1 Rayleigh's Method; 3.5.2 Method Using Influence Coefficients; 3.5.3 Dunkerley's Formula; 3.5.4 Iterative Method (Power Method) [B4]; 3.5.5 Stiffness Matrix Method; 3.5.6 Transfer Matrix Method; 4 Mode Synthesis and Quasi-modal Method; Abstract |
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4.1 Mode Synthesis Models4.1.1 Why Mode Synthesis?; 4.1.2 Guyan Reduction Method; 4.1.3 Mode Synthesis Models; 4.2 Quasi-modal Models; 4.2.1 Principle of the Quasi-modal Model; 4.2.2 Examples of Quasi-modal Models; 4.3 Plant Transfer Function; 5 Unbalance and Balancing; Abstract; 5.1 Unbalance in a Rigid Rotor; 5.1.1 Static Unbalance and Dynamic Unbalance; 5.1.2 Static Unbalance and Couple Unbalance; 5.1.3 Adverse Effects of Unbalance Vibration; 5.1.4 Residual Permissible Unbalance in a Rigid Rotor; 5.2 Field Single-Plane Balancing (Modal Balancing) |
| Notes |
5.2.1 Relationships among Rotational Pulse, Unbalance and Vibration Vector |
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Print version record |
| Subject |
Rotors -- Vibration.
|
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Rotors -- Vibration
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| Form |
Electronic book
|
| Author |
Tanaka, Masato
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Kanki, Hiroshi
|
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Kobayashi, Masao
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Keogh, Patrick
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| ISBN |
9784431554561 |
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4431554564 |
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