Linear and Nonlinear Rotordynamics; 4.3.5.2 How to Use the Standards; Contents; Foreword to the First Edition; Preface to the First Edition; Preface to the Second Edition; Acknowledgements; 1 Introduction; 1.1 Classification of Rotor Systems; 1.2 Historical Perspective; References; 2 Vibrations of Massless Shafts with Rigid Disks; 2.1 General Considerations; 2.2 Rotor Unbalance; 2.3 Lateral Vibrations of an Elastic Shaft with a Disk at Its Center; 2.3.1 Derivation of Equations of Motion; 2.3.2 Free Vibrations of an Undamped System and Whirling Modes
2.3.3 Synchronous Whirl of an Undamped System2.3.4 Synchronous Whirl of a Damped System; 2.3.5 Energy Balance; 2.4 Inclination Vibrations of an Elastic Shaft with a Disk at Its Center; 2.4.1 Rotational Equations of Motion for Single Axis Rotation; 2.4.2 Equations of Motion; 2.4.3 Free Vibrations and Natural Angular Frequency; 2.4.4 Gyroscopic Moment; 2.4.5 Synchronous Whirl; 2.5 Vibrations of a 4 DOF System; 2.5.1 Equations of Motion; 2.5.1.1 Derivation by Using the Results of 2 DOF System; 2.5.1.2 Derivation by Lagrange's Equations; 2.5.2 Free Vibrations and a Natural Frequency Diagram
2.5.3 Synchronous Whirling Response2.6 Vibrations of a Rigid Rotor; 2.6.1 Equations of Motion; 2.6.2 Free Whirling Motion and Whirling Modes; 2.7 Approximate Formulas for Critical Speeds of a Shaft with Several Disks; 2.7.1 Rayleigh's Method; 2.7.2 Dunkerley's Formula; References; 3 Vibrations of a Continuous Rotor; 3.1 General Considerations; 3.2 Equations of Motion; 3.3 Free Whirling Motions and Critical Speeds; 3.3.1 Analysis Considering Only Transverse Motion; 3.3.2 Analysis Considering the Gyroscopic Moment and Rotary Inertia; 3.3.3 Major Critical Speeds; 3.4 Synchronous Whirl
4.4 Balancing of a Flexible Rotor4.4.1 Effect of the Elastic Deformation of a Rotor; 4.4.2 Modal Balancing Method; 4.4.2.1 N-Plane Modal Balancing; 4.4.2.2 (N + 2)-Plane Modal Balancing; 4.4.3 Influence Coefficient Method; References; 5 Vibrations of an Asymmetrical Shaft and an Asymmetrical Rotor; 5.1 General Considerations; 5.2 Asymmetrical Shaft with a Disk at Midspan; 5.2.1 Equations of Motion; 5.2.2 Free Vibrations and Natural Frequency Diagrams; 5.2.2.1 Solutions in the Ranges w> wc1 and w w> wc2
Summary
A wide-ranging treatment of fundamental rotordynamics in order to serve engineers with the necessary knowledge to eliminate various vibration problems. New to this edition are three chapters on highly significant topics:Vibration Suppression - The chapter presents various methods and is a helpful guidance for professional engineers. Magnetic Bearings - The chapter provides fundamental knowledge and enables the reader to realize simple magnetic bearings in the laboratory. Some Practical Rotor Systems - The chapter explains various vibration characteristics of steam turbines and wi
