Kinematics and Dynamics of Machinery

  1. Kinematic Synthesis of Mechanisms
    1. Introduction to Synthesis
      1. Definition and Objectives
        1. Analysis versus Synthesis
          1. Classification of Synthesis Problems
            1. Type Synthesis
              1. Number Synthesis
                1. Dimensional Synthesis
              2. Tasks of Kinematic Synthesis
                1. Function Generation
                  1. Definition and Applications
                    1. Input-Output Relationships
                    2. Path Generation
                      1. Definition and Applications
                        1. Coupler Curves
                        2. Motion Generation (Rigid-Body Guidance)
                          1. Definition and Applications
                            1. Prescribed Positions and Orientations
                          2. Precision Points and Approximation
                            1. Exact Synthesis
                              1. Approximate Synthesis
                                1. Chebyshev Spacing
                                  1. Least Squares Methods
                                  2. Graphical Synthesis Methods
                                    1. Two-Position Synthesis
                                      1. Construction Procedures
                                        1. Circle Point and Center Point Curves
                                        2. Three-Position Synthesis
                                          1. Construction Procedures
                                            1. Burmester Points
                                            2. Limitations and Accuracy
                                            3. Analytical Synthesis Methods
                                              1. Function Generation Synthesis
                                                1. Freudenstein's Equation
                                                  1. Three-Point Synthesis
                                                    1. Least Squares Synthesis
                                                    2. Path Generation Synthesis
                                                      1. Coupler Point Synthesis
                                                        1. Prescribed Path Points
                                                        2. Motion Generation Synthesis
                                                          1. Burmester Theory
                                                            1. Four-Position Synthesis
                                                            2. Optimization Methods
                                                              1. Objective Functions
                                                                1. Constraint Handling
                                                                  1. Numerical Optimization