عنوان

Geometry of surfaces :

(Number (ISBN

3030221830

(Number (ISBN

3030221849

(Number (ISBN

3030221857

(Number (ISBN

3030221865

(Number (ISBN

9783030221836

(Number (ISBN

9783030221843

(Number (ISBN

9783030221850

(Number (ISBN

9783030221867

Title Proper

Geometry of surfaces :

General Material Designation

[Book]

Other Title Information

a practical guide for mechanical engineers /

First Statement of Responsibility

Stephen P. Radzevich.

Edition Statement

Second edition.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2020]

Specific Material Designation and Extent of Item

1 online resource (313 pages)

Text of Note

5.3 Directions of Extremum Degree of Conformity of Two Part Surfaces in Contact

Text of Note

Includes bibliographical references.

Text of Note

Intro; Preface; Acknowledgements; Introduction; Contents; About the Author; Notations; Part Surfaces; 1 Geometry of a Part Surface; 1.1 On Analytical Description of Perfect Surfaces; 1.1.1 General Form of Representation of Smooth Regular Part Surfaces; 1.1.2 Essentials of Piecewise Approximation of Sculptured Part Surfaces; 1.1.3 Algebraic and Geometric Form; 1.1.4 Significance of the Unit Tangent Vectors; 1.2 On the Difference Between "Classical Differential Geometry" and "Engineering Geometry of Surfaces"; 1.3 On the Analytical Description of Part Surfaces

Text of Note

1.4 Boundary Surfaces for Actual Part Surface1.5 Natural Representation of Desired Part Surface; 1.5.1 First Fundamental Form of a Desired Part Surface; 1.5.2 Second Fundamental Form of a Desired Part Surface; 1.5.3 Illustrative Example; 1.6 Elements of Local Geometry of Desired Part Surface; 1.6.1 Unit Vectors of Principal Directions at Point on Part Surface; 1.6.2 Principal Curvatures at Point of Part Surface; 1.6.3 Other Parameters of Part Surface Curvature; References; 2 On a Possibility of Classification of Part Surfaces; 2.1 Sculptured Part Surfaces

Text of Note

2.1.1 Local Patches of Perfect Part Surfaces2.1.2 Local Patches of Real Part Surfaces; 2.2 Planar Characteristic Images; 2.2.1 Dupin Indicatrix; 2.2.2 Curvature Indicatrix; 2.2.3 Circular Chart of Curvature Indicatrices for Local Patches of Smooth Regular Part Surfaces; 2.3 Circular Diagrams at a Surface Point; 2.3.1 Circular Diagrams; 2.3.2 Circular Chart of Circular Diagrams for Local Patches of Smooth Regular Part Surfaces; 2.4 One More Useful Characteristic Curve; References; Contact Geometry of Part Surfaces; 3 Early Works in the Field of Contact Geometry of Surfaces

Text of Note

3.1 Order of Contact3.2 Contact Geometry of Part Surfaces; 3.3 Local Relative Orientation of Contacting Part Surfaces; 3.4 First-Order Analysis: Common Tangent Plane; 3.5 Second-Order Analysis; 3.5.1 Comments on Analytical Description of Local Geometry of Contacting Surfaces Loaded by a Normal Force: "Hertz Proportional Assumption"; 3.5.2 Surface of Normal Relative Curvature; 3.5.3 "Dupin Indicatrix" at a Point of Surface of Relative Normal Curvature; 3.5.4 Matrix Representation of Equation of "Dupin Indicatrix" at a Point of Surface of Relative Normal Curvature

Text of Note

3.5.5 Surface of Relative Normal Radii of Curvature3.5.6 Normalized Relative Normal Curvature; 3.5.7 Curvature Indicatrix of Surface of Relative Normal Curvature; 3.6 A Characteristic Curve mathfrakRK (R) of a Novel Kind; References; 4 An Analytical Method Based on the Second Fundamental Forms of Contacting Part Surfaces; Reference; 5 Indicatrix of Conformity at Point of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency; 5.1 Preliminary Remarks; 5.2 "Indicatrix of Conformity" at Point of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency

0

8

8

8

8

Text of Note

This updated and expanded edition presents a highly accurate specification for part surface machining. Precise specification reduces the cost of this widely used industrial operation as accurately specified and machined part surfaces do not need to undergo costly final finishing. Dr. Radzevich describes techniques in this volume based primarily on classical differential geometry of surfaces. He then transitions from differential geometry of surfaces to engineering geometry of surfaces, and examines how part surfaces are either machined themselves, or are produced by tools with surfaces that are precisely machined. The book goes on to explain specific methods, such as derivation of planar characteristic curves based on Plücker conoid constructed at a point of the part surface, and that analytical description of part surface is vital for surfaces machined using CNC technology, and especially so for multi-axes NC machines. Providing readers with a powerful tool for analytical description of part surfaces machined on conventional machine tools and numerically controlled machines, this book maximizes understanding on optimal treatment of part surfaces to meet the requirements of today's high tech industry. Expands explanation of reversibly-enveloping surfaces (RES), proposing a qualitative (analytical) approach of RES in this new edition; Provides an analytical description of part surfaces to be machined and elucidates the principal difference between differential geometry of surfaces and the engineering of part surfaces; Focuses the readers' attention on circular diagrams, simple but powerful analytic constructs, erected at a point of a part surface ; Illustrates a practical means of mapping of one part surface onto another part surface, with emphasis on a newly developed ℝ-Mapping of part surfaces.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030221843

Title

Geometry of Surfaces : A Practical Guide for Mechanical Engineers.

International Standard Book Number

9783030221836

Geometry, Differential.

Mechanical engineering-- Mathematics.

Surfaces (Technology)-- Mathematical models.

Geometry, Differential.

Mechanical engineering-- Mathematics.

Surfaces (Technology)-- Mathematical models.

TBJ

TBJ

TEC009000

Number

Edition

Class number

Radzevich, S. P., (Stepan Pavlovich)

Date of Transaction

20200823092337.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y