05387nam 2200661 450 991014064500332120230807210531.01-118-25507-01-118-25505-4(CKB)2670000000616814(EBL)1977570(SSID)ssj0001538597(PQKBManifestationID)11848817(PQKBTitleCode)TC0001538597(PQKBWorkID)11529050(PQKB)10860784(MiAaPQ)EBC4033558(MiAaPQ)EBC1977570(Au-PeEL)EBL4033558(CaPaEBR)ebr11109215(CaONFJC)MIL785565(OCoLC)927507439(EXLCZ)99267000000061681420151110h20152015 uy 0engur|n|---|||||txtccrKinematic differential geometry and saddle synthesis of linkages /Delun Wang and Wei WangSingapore :Wiley,2015.©20151 online resource (499 p.)Description based upon print version of record.1-118-25506-2 1-118-25504-6 Includes bibliographical references at the end of each chapters and index.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 Discussion2.3.2 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 Synthesis2.5.2 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; ReferencesChapter 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 Circle5.2.3 Four Positions 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 fiGeometry, DifferentialKinematic geometryGeometry, Differential.Kinematic geometry.516.36Wang Delun958884Wang WeiMiAaPQMiAaPQMiAaPQBOOK9910140645003321Kinematic differential geometry and saddle synthesis of linkages2172553UNINA