LEADER 05387nam 2200661 450 001 9910140645003321 005 20230807210531.0 010 $a1-118-25507-0 010 $a1-118-25505-4 035 $a(CKB)2670000000616814 035 $a(EBL)1977570 035 $a(SSID)ssj0001538597 035 $a(PQKBManifestationID)11848817 035 $a(PQKBTitleCode)TC0001538597 035 $a(PQKBWorkID)11529050 035 $a(PQKB)10860784 035 $a(MiAaPQ)EBC4033558 035 $a(MiAaPQ)EBC1977570 035 $a(Au-PeEL)EBL4033558 035 $a(CaPaEBR)ebr11109215 035 $a(CaONFJC)MIL785565 035 $a(OCoLC)927507439 035 $a(EXLCZ)992670000000616814 100 $a20151110h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aKinematic differential geometry and saddle synthesis of linkages /$fDelun Wang and Wei Wang 210 1$aSingapore :$cWiley,$d2015. 210 4$dİ2015 215 $a1 online resource (499 p.) 300 $aDescription based upon print version of record. 311 $a1-118-25506-2 311 $a1-118-25504-6 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aCover; 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 327 $a2.3.2 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 327 $a2.5.2 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) 327 $a3.4.2 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 327 $aChapter 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 327 $a5.2.3 Four Positions 330 $a 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 fi 606 $aGeometry, Differential 606 $aKinematic geometry 615 0$aGeometry, Differential. 615 0$aKinematic geometry. 676 $a516.36 700 $aWang$b Delun$0958884 702 $aWang$b Wei 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910140645003321 996 $aKinematic differential geometry and saddle synthesis of linkages$92172553 997 $aUNINA