{"product_id":"geometry-of-surfaces-isbn-9781118520314","title":"Geometry of Surfaces","description":"\u003cp\u003e\u003cb\u003ePresents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eGeometry of Surfaces: A Practical Guide for Mechanical Engineers\u003c\/i\u003e is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eGeometry of Surfaces: A Practical Guide for Mechanical Engineers \u003c\/i\u003ecombines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering.\u003c\/p\u003e \u003cul\u003e \u003cli\u003ePresents an in-depth analysis of geometry of part surfaces \u003c\/li\u003e \u003cli\u003eProvides tools for solving complex engineering problems in the field of mechanical engineering\u003c\/li\u003e \u003cli\u003eCombines differential geometry and gearing theory\u003c\/li\u003e \u003cli\u003eHighlights new developments in the elementary theory of enveloping surfaces\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eEssential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAbout the Author xiii\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePreface xv\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAcknowledgments xvii\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eGlossary xix\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNotation xxi\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIntroduction xxv\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I PART SURFACES 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Geometry of a Part Surface 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 On the Analytical Description of Ideal Surfaces 3\u003c\/p\u003e \u003cp\u003e1.2 On the Difference between \u003ci\u003eClassical Differential Geometry\u003c\/i\u003e and \u003ci\u003eEngineering Geometry of Surfaces\u003c\/i\u003e 6\u003c\/p\u003e \u003cp\u003e1.3 On the Analytical Description of Part Surfaces 7\u003c\/p\u003e \u003cp\u003e1.4 Boundary Surfaces for an Actual Part Surface 9\u003c\/p\u003e \u003cp\u003e1.5 Natural Representation of a Desired Part Surface 11\u003c\/p\u003e \u003cp\u003e1.6 Elements of Local Geometry of a Desired Part Surface 19\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 On the Possibility of Classification of Part Surfaces 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Sculptured Part Surfaces 27\u003c\/p\u003e \u003cp\u003e2.2 Planar Characteristic Images 33\u003c\/p\u003e \u003cp\u003e2.3 Circular Diagrams at a Surface Point 42\u003c\/p\u003e \u003cp\u003e2.4 One More Useful Characteristic Curve 53\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II GEOMETRY OF CONTACT OF PART SURFACES 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Early Works in the Field of Contact Geometry 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Order of Contact 57\u003c\/p\u003e \u003cp\u003e3.2 Contact Geometry of Part Surfaces 59\u003c\/p\u003e \u003cp\u003e3.3 Local Relative Orientation of the Contacting Part Surfaces 59\u003c\/p\u003e \u003cp\u003e3.4 First-Order Analysis: Common Tangent Plane 64\u003c\/p\u003e \u003cp\u003e3.5 Second-Order Analysis 65\u003c\/p\u003e \u003cp\u003e3.6 A Characteristic Curve Ir\u003ci\u003ek\u003c\/i\u003e (\u003ci\u003eR\u003c\/i\u003e ) of Novel Kind 75\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 An Analytical Method Based on Second Fundamental Forms of the Contacting Part Surfaces 79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Indicatrix of Conformity of Two Smooth Regular Surfaces in the First Order of Tangency 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Preliminary Remarks 83\u003c\/p\u003e \u003cp\u003e5.2 Indicatrix of Conformity for Two Smooth Regular Part Surfaces in the First Order of Tangency 87\u003c\/p\u003e \u003cp\u003e5.3 Directions of Extremum Degree of Conformity of Two Part Surfaces in Contact 94\u003c\/p\u003e \u003cp\u003e5.4 Asymptotes of the Indicatrix of Conformity \u003ci\u003eCnf\u003c\/i\u003e\u003ci\u003eR\u003c\/i\u003e (\u003ci\u003eP\u003c\/i\u003e1\/\u003ci\u003eP\u003c\/i\u003e2) 97\u003c\/p\u003e \u003cp\u003e5.5 Comparison of Capabilities of Indicatrix of Conformity \u003ci\u003eCnf\u003c\/i\u003e \u003ci\u003eR\u003c\/i\u003e(\u003ci\u003eP\u003c\/i\u003e1\u003ci\u003e\/\u003c\/i\u003e\u003ci\u003eP\u003c\/i\u003e2) and of \u003ci\u003eDupin\u003c\/i\u003e Indicatrix of the Surface of Relative Curvature \u003ci\u003eDup\u003c\/i\u003e (\u003ci\u003eR\u003c\/i\u003e) 98\u003c\/p\u003e \u003cp\u003e5.6 Important Properties of Indicatrix of Conformity \u003ci\u003eCnf\u003c\/i\u003e \u003ci\u003eR\u003c\/i\u003e(\u003ci\u003eP\u003c\/i\u003e\u003ci\u003e\/\u003c\/i\u003e\u003ci\u003eT\u003c\/i\u003e ) of Two Smooth Regular Part Surfaces 99\u003c\/p\u003e \u003cp\u003e5.7 The Converse Indicatrix of Conformity of Two Regular Part Surfaces in the First Order of Tangency 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6\u003c\/b\u003e \u003cb\u003e\u003ci\u003ePlücker\u003c\/i\u003e\u003c\/b\u003e \u003cb\u003eConoid: More Characteristic Curves 101\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 \u003ci\u003ePlücker\u003c\/i\u003e Conoid 101\u003c\/p\u003e \u003cp\u003e6.2 On Analytical Description of Local Geometry of a Smooth Regular Part Surface 105\u003c\/p\u003e \u003cp\u003e6.3 Relative Characteristic Curve 112\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Feasible Kinds of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 On the Possibility of Implementation of the Indicatrix of Conformity for the Purposes of Identification of the Actual Kind of Contact of Two Smooth Regular Part Surfaces 117\u003c\/p\u003e \u003cp\u003e7.2 Impact of Accuracy of the Computation on the Parameters of the Indicatrices of Conformity \u003ci\u003eCnf\u003c\/i\u003e \u003ci\u003eR\u003c\/i\u003e(\u003ci\u003eP\u003c\/i\u003e1\u003ci\u003e\/\u003c\/i\u003e\u003ci\u003eP\u003c\/i\u003e2) 121\u003c\/p\u003e \u003cp\u003e7.3 Classification of Possible Kinds of Contact of Two Smooth Regular Part Surfaces 122\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III MAPPING OF THE CONTACTING PART SURFACES 131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8\u003c\/b\u003e R\u003cb\u003e-Mapping of the Interacting Part Surfaces 133\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Preliminary Remarks 133\u003c\/p\u003e \u003cp\u003e8.2 On the Concept of R-Mapping of the Interacting Part Surfaces 134\u003c\/p\u003e \u003cp\u003e8.3 R-mapping of a Part Surface \u003ci\u003eP\u003c\/i\u003e1 onto Another Part Surface \u003ci\u003eP\u003c\/i\u003e2 136\u003c\/p\u003e \u003cp\u003e8.4 Reconstruction of the Mapped Part Surface 140\u003c\/p\u003e \u003cp\u003e8.5 Illustrative Examples of the Calculation of the Design Parameters of the Mapped Part Surface 141\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Generation of Enveloping Surfaces: General Consideration 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Envelope for Successive Positions of a Moving Planar Curve 145\u003c\/p\u003e \u003cp\u003e9.2 Envelope for Successive Positions of a Moving Surface 149\u003c\/p\u003e \u003cp\u003e9.3 Kinematic Method for Determining Enveloping Surfaces 154\u003c\/p\u003e \u003cp\u003e9.4 Peculiarities of Implementation of the Kinematic Method in Cases of Multi-parametric Relative Motion of the Surfaces 164\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Generation of Enveloping Surfaces: Special Cases 167\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Part Surfaces that Allow for \u003ci\u003eSliding Over Themselves\u003c\/i\u003e 167\u003c\/p\u003e \u003cp\u003e10.2 Reversibly Enveloping Surfaces: Introductory Remarks 169\u003c\/p\u003e \u003cp\u003e10.3 Generation of Reversibly Enveloping Surfaces 180\u003c\/p\u003e \u003cp\u003e10.4 On the Looseness of Two \u003ci\u003eOlivier\u003c\/i\u003e Principles 197\u003c\/p\u003e \u003cp\u003e\u003cb\u003eConclusion 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDICES 205\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A: Elements of Vector Calculus 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Fundamental Properties of Vectors 207\u003c\/p\u003e \u003cp\u003eA.2 Mathematical Operations over Vectors 207\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B: Elements of Coordinate System Transformations 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Coordinate System Transformation 211\u003c\/p\u003e \u003cp\u003eB.2 Conversion of the Coordinate System Orientation 222\u003c\/p\u003e \u003cp\u003eB.3 Transformation of Surface Fundamental Forms 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C: Change of Surface Parameters 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBibliography 229\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex 233\u003c\/b\u003e\u003c\/p\u003e \u003cb\u003eStephen P. Radzevich\u003c\/b\u003e, \u003ci\u003ePrincipal Gear Engineer, USA\u003c\/i\u003e  \u003cp\u003e\u003ci\u003eGeometry of Surfaces: A Practical Guide for Mechanical Engineers\u003c\/i\u003e is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. It is divided into three sections, covering Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. It focuses on the geometry of real part surfaces, and explores the difference between classical differential geometry of surfaces and engineering geometry of surfaces.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003ci\u003eGeometry of Surfaces: A Practical Guide for Mechanical Engineers\u003c\/i\u003e combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert in the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. \u003c\/p\u003e \u003cp\u003eKey features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003e Presents in-depth coverage of the analysis and synthesis of the geometry of part surfaces\u003c\/li\u003e \u003cli\u003eContains numerous practical examples of application of the theories proposed\u003c\/li\u003e \u003cli\u003eConsiders new developments in the elementary theory of enveloping surfaces\u003c\/li\u003e \u003cli\u003eProposes a novel approach for generating of conjugate part surfaces\u003c\/li\u003e \u003cli\u003eProvides a precise analytical description of the geometry of contact between two smooth regular part surfaces\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eGeometry of Surfaces: A Practical Guide for Mechanical Engineers\u003c\/i\u003e is an invaluable reference for researchers and practitioners in mechanical, automotive and aerospace engineering industries, and will also be ideal source of information for CAD developers and graduate students.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989283619045,"sku":"NP9781118520314","price":169.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118520314.jpg?v=1761783511","url":"https:\/\/k12savings.com\/es\/products\/geometry-of-surfaces-isbn-9781118520314","provider":"K12savings","version":"1.0","type":"link"}