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Geometry of Surfaces

A Practical Guide for Mechanical Engineers

Authors: Radzevich, Stephen P.

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  • 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
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-030-22184-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-22183-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.


About the authors

Dr. Stephen P. Radzevich is a Professor of Mechanical Engineering, and a Professor of Manufacturing Engineering.  He received the M.Sc. (1976), the Ph.D. (1982), and the Dr.(Eng)Sc. (1991) – all in mechanical engineering.  Dr. Radzevich has extensive industrial experience in gear design and manufacture. He has developed numerous software packages dealing with CAD and CAM of precise gear finishing for a variety of industrial sponsors.  His main research interest is Kinematic Geometry of Surface Generation, particularly with the focus on (a) precision gear design, (b) high power density gear trains, (c) torque share in multi-flow gear trains, (d) design of special purpose gear cutting/finishing tools, (e) design and machining (finishing) of precision gears for low-noise/noiseless transmissions of cars, light trucks etc. Dr. Radzevich has spent about 40 years developing software, hardware and other processes for gear design an optimization. Besides his work for industry, he trains engineering students at universities and gear engineers in companies.  He authored and co-authored over 30 monographs, handbooks, and textbooks. The monographs entitled “Generation of Surfaces” (2001), “Kinematic Geometry of Surface Machining” (CRC Press, 2008), “CAD/CAM of Sculptured Surfaces on Multi-Axis NC Machine: The DG/K-Based Approach” (M&C Publishers, 2008), “Gear Cutting Tools: Fundamentals of Design and Computation” (CRC Press, 2010, 2nd edition 2017), “Precision Gear Shaving” (Nova Science Publishers, 2010), “Dudley’s Handbook of Practical Gear Design and Manufacture” (CRC Press, 2012, 2nd edition 2016), “Theory of Gearing: Kinematics, Geometry, and Synthesis” (CRC Press, 2012, 2nd edition 2018), “Geometry of Surfaces: A Practical Guide for Mechanical Engineers” (2013) are among the recently published volumes.  He also authored and co-authored about 350 scientific papers and holds over 250 patents on inventions in the field, both, USA patents and International.

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Geometry of a Part Surface

    Pages 3-34

    Radzevich, Stephen P.

  • On a Possibility of Classification of Part Surfaces

    Pages 35-64

    Radzevich, Stephen P.

  • Early Works in the Field of Contact Geometry of Surfaces

    Pages 67-90

    Radzevich, Stephen P.

  • An Analytical Method Based on the Second Fundamental Forms of Contacting Part Surfaces

    Pages 91-95

    Radzevich, Stephen P.

  • Indicatrix of Conformity at Point of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency

    Pages 97-117

    Radzevich, Stephen P.

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-030-22184-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-22183-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometry of Surfaces
Book Subtitle
A Practical Guide for Mechanical Engineers
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-22184-3
DOI
10.1007/978-3-030-22184-3
Hardcover ISBN
978-3-030-22183-6
Edition Number
2
Number of Pages
XXVI, 303
Number of Illustrations
175 b/w illustrations, 7 illustrations in colour
Topics