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Table of Contents
Intro; Preface I; Preface II; Acknowledgements I; Acknowledgements II; Contents; 1 Basics of Rotor and Structural Vibration; 1.1 Introduction; 1.2 General; 1.3 Fundamentals of Rotor Dynamics in Turbo-Machinery; 1.4 Why Rotor Dynamics Plays a Vital Role in Rotating Machinery Design?; 1.5 Rotor Failure Modes; 1.5.1 Torsional Vibration (Due to Rotor Twist). See Fig. Â 1.5; 1.5.2 Lateral Vibration (Due to of Rotor Bending). See Fig. Â 1.6; 1.6 Rotor Dynamics Versus Stationary Structural Dynamics; 1.6.1 Structural Vibration Versus Rotor Whirl.
1.6.2 Structural Natural Frequencies Versus Rotor Critical Speeds1.6.3 Structural Mode Shapes Versus Rotor Whirl Motions; 1.6.4 Structural Responses Versus Rotor Whirl Responses; 1.6.5 Structural Excitation Versus Rotor Excitation Forces; 1.6.6 Stability of Structures Versus Rotor Stability; 1.7 Examples; 1.7.1 Example-1; 1.7.2 Example-2; 1.7.3 Example-3; 1.7.4 Example-4; 1.8 Fluid-Film Stiffness; 1.9 Forward and Backward Rotor Whirl Vectors; 1.9.1 Split Critical Speeds of a Rotor; 1.9.2 Construction of Whirl Plots; 1.10 Closure; References; 2 Mathematical Model; 2.1 Introduction; 2.2 General.
2.3 Lateral (Bending) Rotor Dynamic Model2.3.1 The Rotor Modeling; 2.3.2 The Fluid-Film Bearing Modeling; 2.3.3 Bearing Support Pedestal Modeling; 2.3.4 Concrete Foundation Modeling; 2.3.5 Steel Foundation Structures; 2.4 Solution Methods; 2.4.1 Transfer Matrix (TM) Approach; 2.4.2 Two Dimensional Finite Element Formulation; 2.4.3 Gyroscopic Effect in Rotor Systems; 2.4.4 Asymmetric Stiffness Effects in Rotor Systems; 2.5 Advanced Rotor Modeling Methods; 2.5.1 Lateral Rotor Model; 2.5.2 Mode-Frequency Analysis or Modal Analysis on Rigid Supports; 2.5.3 Unbalance Response Calculations.
2.5.4 Q-Factor Evaluation2.5.4.1 An Important Note About Q-Factor Evaluations; 2.5.5 Rotor Stability Calculations; 2.6 Various Rotor Constructions; 2.6.1 Mono-Bloc Rotor; 2.6.2 Shrunk-on Disc Rotor; 2.6.3 Welded Rotor; 2.7 Rotor Mechanics; 2.8 Torsional (Twist) Rotor Dynamics; 2.8.1 Lumped Mass Model; 2.8.2 Blade and Rotor Disc Frequency Coupling; 2.8.3 Three-D Finite Element Model of a Bladed-Disc; 2.8.4 Effects of Blade-Disc Coupling on Lateral Dynamics; 2.8.5 Rotor Torsional Model; 2.8.6 Three-D Torsional Modeling of Rotors; 2.8.7 Modal Analysis; 2.8.8 Steady-State Excitations.
2.8.9 Positive and Negative Sequence Currents2.8.10 Transient Excitations; 2.8.11 Loss of Life Calculations; 2.8.12 Out-of Phase Synchronization (OPS); 2.8.12.1 Sudden Impulse or Repetitive Industrial Loads Near Power Plants' ;Excites Sub-synchronous Modes; Line Switching and Resonance Due to Series Capacitor Compensated Transmission- Excites Sub-synchronous Modes; 2.8.13 Sub-synchronous Excitations; 2.8.14 Impact on Shaft Torque Due to Grid Events; 2.9 Testing for Torsional Frequencies and Modes; 2.9.1 Stationary Frequency Testing; 2.9.2 Rotating Tests; 2.10 Closure; References.
1.6.2 Structural Natural Frequencies Versus Rotor Critical Speeds1.6.3 Structural Mode Shapes Versus Rotor Whirl Motions; 1.6.4 Structural Responses Versus Rotor Whirl Responses; 1.6.5 Structural Excitation Versus Rotor Excitation Forces; 1.6.6 Stability of Structures Versus Rotor Stability; 1.7 Examples; 1.7.1 Example-1; 1.7.2 Example-2; 1.7.3 Example-3; 1.7.4 Example-4; 1.8 Fluid-Film Stiffness; 1.9 Forward and Backward Rotor Whirl Vectors; 1.9.1 Split Critical Speeds of a Rotor; 1.9.2 Construction of Whirl Plots; 1.10 Closure; References; 2 Mathematical Model; 2.1 Introduction; 2.2 General.
2.3 Lateral (Bending) Rotor Dynamic Model2.3.1 The Rotor Modeling; 2.3.2 The Fluid-Film Bearing Modeling; 2.3.3 Bearing Support Pedestal Modeling; 2.3.4 Concrete Foundation Modeling; 2.3.5 Steel Foundation Structures; 2.4 Solution Methods; 2.4.1 Transfer Matrix (TM) Approach; 2.4.2 Two Dimensional Finite Element Formulation; 2.4.3 Gyroscopic Effect in Rotor Systems; 2.4.4 Asymmetric Stiffness Effects in Rotor Systems; 2.5 Advanced Rotor Modeling Methods; 2.5.1 Lateral Rotor Model; 2.5.2 Mode-Frequency Analysis or Modal Analysis on Rigid Supports; 2.5.3 Unbalance Response Calculations.
2.5.4 Q-Factor Evaluation2.5.4.1 An Important Note About Q-Factor Evaluations; 2.5.5 Rotor Stability Calculations; 2.6 Various Rotor Constructions; 2.6.1 Mono-Bloc Rotor; 2.6.2 Shrunk-on Disc Rotor; 2.6.3 Welded Rotor; 2.7 Rotor Mechanics; 2.8 Torsional (Twist) Rotor Dynamics; 2.8.1 Lumped Mass Model; 2.8.2 Blade and Rotor Disc Frequency Coupling; 2.8.3 Three-D Finite Element Model of a Bladed-Disc; 2.8.4 Effects of Blade-Disc Coupling on Lateral Dynamics; 2.8.5 Rotor Torsional Model; 2.8.6 Three-D Torsional Modeling of Rotors; 2.8.7 Modal Analysis; 2.8.8 Steady-State Excitations.
2.8.9 Positive and Negative Sequence Currents2.8.10 Transient Excitations; 2.8.11 Loss of Life Calculations; 2.8.12 Out-of Phase Synchronization (OPS); 2.8.12.1 Sudden Impulse or Repetitive Industrial Loads Near Power Plants' ;Excites Sub-synchronous Modes; Line Switching and Resonance Due to Series Capacitor Compensated Transmission- Excites Sub-synchronous Modes; 2.8.13 Sub-synchronous Excitations; 2.8.14 Impact on Shaft Torque Due to Grid Events; 2.9 Testing for Torsional Frequencies and Modes; 2.9.1 Stationary Frequency Testing; 2.9.2 Rotating Tests; 2.10 Closure; References.