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Produktbild: Geometry of Surfaces

Geometry of Surfaces A Practical Guide for Mechanical Engineers

191,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.03.2013

Verlag

John Wiley & Sons Inc

Seitenzahl

264

Maße (L/B/H)

25,1/17,2/2 cm

Gewicht

549 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-52031-4

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.03.2013

Verlag

John Wiley & Sons Inc

Seitenzahl

264

Maße (L/B/H)

25,1/17,2/2 cm

Gewicht

549 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-52031-4

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Geometry of Surfaces
  • About the Author xiii
     
    Preface xv
     
    Acknowledgments xvii
     
    Glossary xix
     
    Notation xxi
     
    Introduction xxv
     
    Part I PART SURFACES 1
     
    1 Geometry of a Part Surface 3
     
    1.1 On the Analytical Description of Ideal Surfaces 3
     
    1.2 On the Difference between Classical Differential Geometry and Engineering Geometry of Surfaces 6
     
    1.3 On the Analytical Description of Part Surfaces 7
     
    1.4 Boundary Surfaces for an Actual Part Surface 9
     
    1.5 Natural Representation of a Desired Part Surface 11
     
    1.6 Elements of Local Geometry of a Desired Part Surface 19
     
    2 On the Possibility of Classification of Part Surfaces 27
     
    2.1 Sculptured Part Surfaces 27
     
    2.2 Planar Characteristic Images 33
     
    2.3 Circular Diagrams at a Surface Point 42
     
    2.4 One More Useful Characteristic Curve 53
     
    Part II GEOMETRY OF CONTACT OF PART SURFACES 55
     
    3 Early Works in the Field of Contact Geometry 57
     
    3.1 Order of Contact 57
     
    3.2 Contact Geometry of Part Surfaces 59
     
    3.3 Local Relative Orientation of the Contacting Part Surfaces 59
     
    3.4 First-Order Analysis: Common Tangent Plane 64
     
    3.5 Second-Order Analysis 65
     
    3.6 A Characteristic Curve Irk (R ) of Novel Kind 75
     
    4 An Analytical Method Based on Second Fundamental Forms of the Contacting Part Surfaces 79
     
    5 Indicatrix of Conformity of Two Smooth Regular Surfaces in the First Order of Tangency 83
     
    5.1 Preliminary Remarks 83
     
    5.2 Indicatrix of Conformity for Two Smooth Regular Part Surfaces in the First Order of Tangency 87
     
    5.3 Directions of Extremum Degree of Conformity of Two Part Surfaces in Contact 94
     
    5.4 Asymptotes of the Indicatrix of Conformity CnfR (P1/P2) 97
     
    5.5 Comparison of Capabilities of Indicatrix of Conformity Cnf R(P1/P2) and of Dupin Indicatrix of the Surface of Relative Curvature Dup (R) 98
     
    5.6 Important Properties of Indicatrix of Conformity Cnf R(P/T ) of Two Smooth Regular Part Surfaces 99
     
    5.7 The Converse Indicatrix of Conformity of Two Regular Part Surfaces in the First Order of Tangency 99
     
    6 Plücker Conoid: More Characteristic Curves 101
     
    6.1 Plücker Conoid 101
     
    6.2 On Analytical Description of Local Geometry of a Smooth Regular Part Surface 105
     
    6.3 Relative Characteristic Curve 112
     
    7 Feasible Kinds of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency 117
     
    7.1 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
     
    7.2 Impact of Accuracy of the Computation on the Parameters of the Indicatrices of Conformity Cnf R(P1/P2) 121
     
    7.3 Classification of Possible Kinds of Contact of Two Smooth Regular Part Surfaces 122
     
    Part III MAPPING OF THE CONTACTING PART SURFACES 131
     
    8 R-Mapping of the Interacting Part Surfaces 133
     
    8.1 Preliminary Remarks 133
     
    8.2 On the Concept of R-Mapping of the Interacting Part Surfaces 134
     
    8.3 R-mapping of a Part Surface P1 onto Another Part Surface P2 136
     
    8.4 Reconstruction of the Mapped Part Surface 140
     
    8.5 Illustrative Examples of the Calculation of the Design Parameters of the Mapped Part Surface 141
     
    9 Generation of Enveloping Surfaces: General Consideration 145
     
    9.1 Envelope for Successive Positions of a Moving Planar Curve 145
     
    9.2 Envelope for Successive Positions of a Moving Surface 149
     
    9.3 Kinematic Method for Determining Enveloping Surfaces 154
     
    9.4 Peculiarities of Implementa