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Informationen zum Autor DELUN WANG , Dalian University of Technology, China WEI WANG , Dalian University of Technology, China Klappentext With a pioneering methodology, the book covers the fundamental aspects of kinematic analysis and synthesis of linkage, and provides a theoretical foundation for engineers and researchers in mechanisms design.* The first book to propose a complete curvature theory for planar, spherical and spatial motion* Treatment of the synthesis of linkages with a novel approach* Well-structured format with chapters introducing clearly distinguishable concepts following in a logical sequence dealing with planar, spherical and spatial motion* Presents a pioneering methodology by a recognized expert in the field and brought up to date with the latest research and findings* Fundamental theory and application examples are supplied fully illustrated throughout Zusammenfassung With a pioneering methodology, the book covers the fundamental aspects of kinematic analysis and synthesis of linkage, and provides a theoretical foundation for engineers and researchers in mechanisms design.* The first book to propose a complete curvature theory for planar, spherical and spatial motion* Treatment of the synthesis of linkages with a novel approach* Well-structured format with chapters introducing clearly distinguishable concepts following in a logical sequence dealing with planar, spherical and spatial motion* Presents a pioneering methodology by a recognized expert in the field and brought up to date with the latest research and findings* Fundamental theory and application examples are supplied fully illustrated throughout Inhaltsverzeichnis Preface ix Acknowledgments xi 1 Planar Kinematic Differential Geometry 1 1.1 Plane Curves 2 1.1.1 Vector Curve 2 1.1.2 Frenet Frame 6 1.1.3 Adjoint Approach 10 1.2 Planar Differential Kinematics 14 1.2.1 Displacement 14 1.2.2 Centrodes 18 1.2.3 Euler-Savary Equation 26 1.2.4 Curvatures in Higher Order 33 1.2.5 Line Path 42 1.3 Plane Coupler Curves 49 1.3.1 Local Characteristics 49 1.3.2 Double Points 51 1.3.3 Four-bar Linkage I 55 1.3.4 Four-bar Linkage II 61 1.3.5 Oval Coupler Curves 67 1.3.6 Symmetrical Coupler Curves 73 1.3.7 Distribution of Coupler Curves 75 1.4 Discussion 78 References 80 2 Discrete Kinematic Geometry and Saddle Synthesis of Planar Linkages 83 2.1 Matrix Representation 84 2.2 Saddle Point Programming 85 2.3 Saddle Circle Point 88 2.3.1 Saddle Circle Fitting 89 2.3.2 Saddle Circle 92 2.3.3 Four Positions 95 2.3.4 Five Positions 97 2.3.5 Multiple Positions 100 2.3.6 Saddle Circle Point 101 2.4 Saddle Sliding Point 106 2.4.1 Saddle Line Fitting 108 2.4.2 Saddle Line 109 2.4.3 Three Positions 111 2.4.4 Four Positions 114 2.4.5 Multiple Positions 116 2.4.6 Saddle Sliding Point 116 2.5 The Saddle Kinematic Synthesis of Planar Four-bar Linkages 120 2.5.1 Kinematic Synthesis 122 2.5.2 Crank-rocker Linkage 129 2.5.3 Crank-slider Linkage 139 2.6 The Saddle Kinematic Synthesis of Planar Six-bar Linkages with Dwell Function 145 2.6.1 Six-bar Linkages 146 2.6.2 Local Saddle Curve Fitting 149 2.6.3 Dwell Function Synthesis 150 2.7 Discussion 163 References 167 3 Differential Geometry of the Constraint Curves and Surfaces 171 3.1 Space Curves 171 3.1.1 Vector Representations 171 3.1.2 Frenet Trihedron 175 3.2 Surfaces 177 3.2.1 Elements of Surfaces 177 3.2.2 Ruled Surfaces 183 3.2.3 Adjoint Approach 186 3.3 Constraint Curves and Surfaces 192 3.4 Spherical and Cylindr...
