Kinematics and Dynamics of Machinery

  1. Introduction to Mechanical Vibrations
    1. Basic Concepts
      1. Vibration Phenomena
        1. Harmonic Motion
          1. Periodic and Non-Periodic Motion
            1. Classification of Vibrations
              1. Free and Forced Vibrations
                1. Damped and Undamped Vibrations
                  1. Linear and Nonlinear Vibrations
                  2. Degrees of Freedom
                    1. Single DOF Systems
                      1. Multi-DOF Systems
                        1. Continuous Systems
                      2. Single Degree of Freedom Systems
                        1. Free Undamped Vibrations
                          1. Equation of Motion
                            1. Natural Frequency
                              1. Solution and Physical Interpretation
                                1. Initial Conditions
                                2. Free Damped Vibrations
                                  1. Types of Damping
                                    1. Viscous Damping
                                      1. Coulomb Damping
                                        1. Structural Damping
                                        2. Viscous Damping Analysis
                                          1. Underdamped Motion
                                            1. Critically Damped Motion
                                              1. Overdamped Motion
                                              2. Damping Ratio
                                                1. Critical Damping Coefficient
                                                  1. Logarithmic Decrement
                                                  2. Forced Vibrations
                                                    1. Harmonic Excitation
                                                      1. Steady-State Response
                                                        1. Transient Response
                                                          1. Resonance Phenomenon
                                                            1. Magnification Factor
                                                              1. Phase Relationship
                                                                1. Frequency Response
                                                              2. Torsional Vibrations
                                                                1. Torsional Vibration Fundamentals
                                                                  1. Torsional Stiffness
                                                                    1. Polar Moment of Inertia
                                                                      1. Equation of Motion
                                                                      2. Single Rotor Systems
                                                                        1. Natural Frequency Calculation
                                                                          1. Free Vibration Analysis
                                                                          2. Two-Rotor Systems
                                                                            1. Equations of Motion
                                                                              1. Natural Frequencies
                                                                                1. Mode Shapes
                                                                                  1. Node Points
                                                                                  2. Three-Rotor Systems
                                                                                    1. Equations of Motion
                                                                                      1. Multiple Natural Frequencies
                                                                                        1. Mode Shape Analysis
                                                                                          1. Practical Applications
                                                                                          2. Multi-Rotor Systems
                                                                                            1. Matrix Methods
                                                                                              1. Transfer Matrix Method
                                                                                                1. Holzer Method
                                                                                                2. Torsionally Equivalent Systems
                                                                                                  1. Equivalent Shaft Concept
                                                                                                    1. Reduction Methods
                                                                                                      1. Branched Systems
                                                                                                    2. Vibration in Machinery
                                                                                                      1. Sources of Vibration
                                                                                                        1. Vibration Measurement
                                                                                                          1. Vibration Control Methods
                                                                                                            1. Critical Speed Analysis
                                                                                                              1. Balancing for Vibration Reduction

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                                                                                                            13. Governors

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                                                                                                            1. Introduction to Mechanisms and Kinematics