Kinematic differential geometry and saddle synthesis of linkages /
With a pioneering methodology, this book covers the fundamental aspects of kinematic analysis and synthesis of linkages, and provides a theoretical foundation for engineers and researchers in mechanism design. The authors present both the kinematic geometry in differential geometry from planar motio...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore :
Wiley,
2015.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Cover; Title Page; Copyright; Contents; Preface; Acknowledgments; Chapter 1 Planar Kinematic Differential Geometry; 1.1 Plane Curves; 1.1.1 Vector Curve; 1.1.2 Frenet Frame; 1.1.3 Adjoint Approach; 1.2 Planar Differential Kinematics; 1.2.1 Displacement; 1.2.2 Centrodes; 1.2.3 Euler-Savary Equation; 1.2.4 Curvatures in Higher Order; 1.2.5 Line Path; 1.3 Plane Coupler Curves; 1.3.1 Local Characteristics; 1.3.2 Double Points; 1.3.3 Four-bar Linkage I; 1.3.4 Four-bar Linkage II; 1.3.5 Oval Coupler Curves; 1.3.6 Symmetrical Coupler Curves; 1.3.7 Distribution of Coupler Curves; 1.4 Discussion.
- 2.3.2 Saddle CircleReferences; Chapter 2 Discrete Kinematic Geometry and Saddle Synthesis of Planar Linkages; 2.1 Matrix Representation; 2.2 Saddle Point Programming; 2.3 Saddle Circle Point; 2.3.1 Saddle Circle Fitting; 2.3.3 Four Positions; 2.3.4 Five Positions; 2.3.5 Multiple Positions; 2.3.6 Saddle Circle Point; 2.4 Saddle Sliding Point; 2.4.1 Saddle Line Fitting; 2.4.2 Saddle Line; 2.4.3 Three Positions; 2.4.4 Four Positions; 2.4.5 Multiple Positions; 2.4.6 Saddle Sliding Point; 2.5 The Saddle Kinematic Synthesis of Planar Four-bar Linkages; 2.5.1 Kinematic Synthesis.
- 2.5.2 Crank-rocker Linkage2.5.3 Crank-slider Linkage; 2.6 The Saddle Kinematic Synthesis of Planar Six-bar Linkages with Dwell Function; 2.6.1 Six-bar Linkages; 2.6.2 Local Saddle Curve Fitting; 2.6.3 Dwell Function Synthesis; 2.7 Discussion; References; Chapter 3 Differential Geometry of the Constraint Curves and Surfaces; 3.1 Space Curves; 3.1.1 Vector Representations; 3.1.2 Frenet Trihedron; 3.2 Surfaces; 3.2.1 Elements of Surfaces; 3.2.2 Ruled Surfaces; 3.2.3 Adjoint Approach; 3.3 Constraint Curves and Surfaces; 3.4 Spherical and Cylindrical Curves; 3.4.1 Spherical Curves (S-S).
- 3.4.2 Cylindrical Curves (C-S)3.5 Constraint Ruled Surfaces; 3.5.1 Constant Inclination Ruled Surfaces (C'-P'-C); 3.5.2 Constant Axis Ruled Surfaces (C'-C); 3.5.3 Constant Parameter Ruled Surfaces (H-C, R-C); 3.5.4 Constant Distance Ruled Surfaces (S'-C); 3.7.3 Constant Inclination Curvature; 3.6 Generalized Curvature of Curves; 3.6.1 Generalized Curvature of Space Curves; 3.6.2 Spherical Curvature and Cylindrical Curvature; 3.7 Generalized Curvature of Ruled Surfaces; 3.7.1 Tangent Conditions; 3.7.2 Generalized Curvature; 3.7.4 Constant Axis Curvature; 3.8 Discussion; References.
- Chapter 4 Spherical Kinematic Differential Geometry4.1 Spherical Displacement; 4.1.1 General Expression; 4.1.2 Adjoint Expression; 4.2 Spherical Differential Kinematics; 4.2.1 Spherical Centrodes (Axodes); 4.2.2 Curvature and Euler-Savary Formula; 4.3 Spherical Coupler Curves; 4.3.1 Basic Equation; 4.3.2 Double Point; 4.3.3 Distribution; 4.4 Discussion; References; Chapter 5 Discrete Kinematic Geometry and Saddle Synthesis of Spherical Linkages; 5.1 Matrix Representation; 5.2 Saddle Spherical Circle Point; 5.2.1 Saddle Spherical Circle Fitting; 5.2.2 Saddle Spherical Circle.