Part I: Theoretical Foundation of Rotor Dynamics Introduction to Rotational Physics Fixed Coordinate System Rotating Coordinate System Forces in the Rotating System Transformation between Coordinate Systems Kinetic Energy Due to Translational Displacement Kinetic Energy Due to Rotational Displacement Equation of Motion in Rotating Coordinate System Equation of Motion in the Fixed Coordinate System Coupled Solution Formulations Matrix Formulation of Lagrange's Equations Coupling Nodal Translations to the Stationary Part Simultaneous Coupling of Translations and Rotations Full Coupling of the Stationary and Rotating Parts Time-Dependent Terms of Equations Finite Element Analysis of Rotating Structures Potential Energy of Structure Dissipative Forces Non-dissipative Forces Finite Element Equation Assembly Coupled Equilibrium Equation Assembly Analysis Equilibrium Equations Computational Solution Techniques Direct Time Domain Solution of the Equilibrium Equation Direct Frequency Domain Solution Direct Free Vibration Solution Modal Solution Technique Static Condensation Dynamic Reduction Numerical Solution Techniques The Lanczos Method Orthogonal Factorization The Block Lanczos Method Solution of Periodic Equations   Part II: Engineering Analysis of Rotating Structures Resonances and Instabilities Analysis Type vs. Modeling Approach Resonances and Instabilities Critical Speed of Rotating Mass The Laval Rotor Influence of Damping Unsymmetric Effects of Bearing and Rotor A Rotating Tube Rotating Model with Flexible Arms The Ground Resonance Dynamic Response Analysis Frequency Response without Rotation Frequency Response with Rotation Transient Response without Rotation Transient Response with Rotation A Finite Element Case Study Turbine Wheel with Shaft and Blades Engineering Analysis Computational Statistics The Journal Bearing Active External Loads Analysis of Aircraft Propellers A Propeller Blade Quasi-steady Aerodynamics of Blade Unsteady Aerodynamics of Blade Propeller with Four Blades Analysis of Wind Turbines An Example Wind Turbine Modeling and Analysis of Wind Turbine Blade Wind Turbine with Three Blades Response Analysis of Wind Turbines Horizontal Axis Wind Turbines with Two Blades.