Kinematics and Dynamics of Machinery

  1. Acceleration Analysis
    1. Fundamental Concepts of Acceleration
      1. Linear Acceleration
        1. Definition and Components
          1. Acceleration Vectors
          2. Angular Acceleration
            1. Definition and Direction
              1. Relationship to Linear Acceleration
              2. Components of Acceleration
                1. Normal (Centripetal) Acceleration
                  1. Tangential Acceleration
                    1. Total Acceleration
                    2. Coriolis Component of Acceleration
                      1. Physical Meaning
                        1. Conditions for Occurrence
                          1. Direction and Magnitude
                            1. Application in Mechanisms
                          2. Graphical Methods for Acceleration Analysis
                            1. Relative Acceleration Method
                              1. Acceleration Polygon Construction
                                1. Acceleration Image Principle
                                  1. Acceleration Analysis of Four-Bar Linkage
                                    1. Acceleration Analysis of Slider-Crank Mechanism
                                      1. Klein's Construction
                                      2. Special Graphical Techniques
                                        1. Ritterhaus Construction
                                          1. Acceleration Centers
                                        2. Analytical Methods for Acceleration Analysis
                                          1. Differentiation of Velocity Equations
                                            1. Second Time Derivatives
                                              1. Product Rule Applications
                                              2. Vector Algebra Approach
                                                1. Acceleration Vector Equations
                                                  1. Relative Acceleration Analysis
                                                    1. Matrix Methods
                                                    2. Complex Number Approach
                                                      1. Complex Acceleration Representation
                                                        1. Second Derivatives of Complex Functions
                                                          1. Application Examples
                                                          2. Computer-Aided Acceleration Analysis
                                                            1. Numerical Methods
                                                              1. Symbolic Computation
                                                                1. Verification Techniques

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                                                            3. Velocity Analysis

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                                                            5. Kinematic Synthesis of Mechanisms