UID:
almafu_9959327094002883
Format:
1 online resource :
,
illustrations
ISBN:
9781118255056
,
1118255054
,
9781118255063
,
1118255062
,
1118255046
,
9781118255049
Content:
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 motion to spherical and spatial motion, and the saddle kinematic synthesis of planar and spatial linkages by the best uniform approximation. It proposes the generalized curvature corresponding to binary links, and sets up the unified curvature theory in kinematics based on centrodes (axodes); describes global geometrical properties of loci in discrete kinematics by the invariants of the constraint curves and ruled surfaces of binary links. --
Note:
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.
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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.
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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).
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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.
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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.
Additional Edition:
Print version: Wang, Delun. Kinematic differential geometry and saddle synthesis of linkages. Singapore : John Wiley & Sons, Inc., ©2015 ISBN 9781118255049
Language:
English
Keywords:
Electronic books.
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Electronic books.
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Electronic books.
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Electronic books.
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Electronic books.
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Electronic books.
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9781118255056
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9781118255056
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9781118255056
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