Kinematics and Dynamics of Machinery

  1. Velocity Analysis
    1. Fundamental Concepts of Velocity
      1. Linear Velocity
        1. Definition and Units
          1. Velocity Vectors
          2. Angular Velocity
            1. Definition and Direction
              1. Relationship to Linear Velocity
              2. Relative Velocity
                1. Absolute Motion
                  1. Relative Motion
                    1. Velocity Addition
                  2. Graphical Methods for Velocity Analysis
                    1. Relative Velocity Method
                      1. Velocity Polygon Construction
                        1. Velocity Image Principle
                          1. Velocity Analysis of Four-Bar Linkage
                            1. Velocity Analysis of Slider-Crank Mechanism
                              1. Complex Mechanism Analysis
                              2. Instantaneous Center of Rotation Method
                                1. Definition and Properties of ICR
                                  1. Types of Instantaneous Centers
                                    1. Fixed Centers
                                      1. Moving Centers
                                      2. Aronhold-Kennedy Theorem
                                        1. Locating Instantaneous Centers
                                          1. Graphical Methods
                                            1. Analytical Methods
                                            2. Velocity Determination using ICR
                                              1. Application to Four-Bar Linkage
                                                1. Application to Slider-Crank Mechanism
                                                  1. Application to Rolling Contact Mechanisms
                                                2. Analytical Methods for Velocity Analysis
                                                  1. Differentiation of Position Equations
                                                    1. Time Derivatives
                                                      1. Chain Rule Applications
                                                      2. Vector Algebra Approach
                                                        1. Velocity Vector Equations
                                                          1. Relative Velocity Analysis
                                                            1. Matrix Formulation
                                                            2. Complex Number Approach
                                                              1. Complex Representation of Positions
                                                                1. Velocity through Complex Differentiation
                                                                  1. Application to Planar Mechanisms
                                                                  2. Computer-Aided Velocity Analysis
                                                                    1. Numerical Differentiation
                                                                      1. Symbolic Differentiation
                                                                        1. Software Tools

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                                                                    2. Position and Displacement Analysis

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                                                                    4. Acceleration Analysis