© 2020


Volume 1: Geometric and Kinematic Design


Part of the Springer Series in Solid and Structural Mechanics book series (SSSSM, volume 10)

Table of contents

  1. Front Matter
    Pages i-xli
  2. Vincenzo Vullo
    Pages 39-80
  3. Vincenzo Vullo
    Pages 139-180
  4. Vincenzo Vullo
    Pages 181-221
  5. Vincenzo Vullo
    Pages 301-349
  6. Vincenzo Vullo
    Pages 351-416
  7. Vincenzo Vullo
    Pages 417-464
  8. Vincenzo Vullo
    Pages 465-568
  9. Vincenzo Vullo
    Pages 569-694
  10. Vincenzo Vullo
    Pages 695-772
  11. Vincenzo Vullo
    Pages 773-818
  12. Back Matter
    Pages 819-844

About this book


The book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters. Particular attention is paid to the profile shift of these types of gears either generated by rack-type cutter or by pinion-rack cutter. Among other things, profile-shifted toothing allows to obtain teeth shapes capable of greater strength and more balanced specific sliding, as well as to reduce the number of teeth below the minimum one to avoid the operating interference or undercut. These very important aspects of geometric-kinematic design of cylindrical spur and helical gears are then generalized and extended to the other examined types of gears most commonly used in practical applications, such as: straight bevel gears; crossed helical gears; worm gears; spiral bevel and hypoid gears. Finally, ordinary gear trains, planetary gear trains and face gear drives are discussed.

Includes fully-developed exercises to draw the reader's attention to the problems that are of interest to the designer, as well as to clarify the calculation procedure

Topics are addressed from a theoretical standpoint, but in such a way as not to lose sight of the physical phenomena that characterize the various types of gears which are examined

 The analytical and numerical solutions are formulated so as to be of interest not only to academics, but also to designers who deal with actual engineering problems concerning the gears


Gearing machine design theory spur gears helical gears bevel gears worm gears hypoid gears face gears planetary gear trains kinematic quantities

Authors and affiliations

  1. 1.University of Rome "Tor Vergata"RomeItaly

About the authors

Vincenzo Vullo was professor at University of Rome Tor Vergata, Italy, where he taught Mechanical Design. His main research areas include mechanical structures, analysis of rotors, plates and shells, advanced design in automotive and railway industry and finite element method of analysis. He is author of about 180 scientific papers and he is a member of a number of professional societies, including ASME and SAE.​

Bibliographic information

  • Book Title Gears
  • Book Subtitle Volume 1: Geometric and Kinematic Design
  • Authors Vincenzo Vullo
  • Series Title Springer Series in Solid and Structural Mechanics
  • Series Abbreviated Title Springer Ser.Solid, Structural Mechanics
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-030-36501-1
  • Softcover ISBN 978-3-030-36504-2
  • eBook ISBN 978-3-030-36502-8
  • Series ISSN 2195-3511
  • Series E-ISSN 2195-352X
  • Edition Number 1
  • Number of Pages XLI, 844
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Machinery and Machine Elements
    Solid Mechanics
  • Buy this book on publisher's site
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