© 2013

Introduction to Analytical Methods for Internal Combustion Engine Cam Mechanisms


  • Contains the necessary equations for a state-of-the-art method for design of cams with a smooth acceleration curve

  • Includes the oil entrainment velocity for each mechanism considered

  • Describes the kinematics and kinetics for all mechanisms, which permits all loads and stresses to be evaluated


Table of contents

  1. Front Matter
    Pages i-xvii
  2. J. J. Williams
    Pages 1-30
  3. J J Williams
    Pages 31-40
  4. J. J. Williams
    Pages 41-68
  5. J. J. Williams
    Pages 69-74
  6. J. J. Williams
    Pages 75-81
  7. J. J. Williams
    Pages 83-88
  8. J. J. Williams
    Pages 89-102
  9. J. J. Williams
    Pages 103-117
  10. J. J. Williams
    Pages 119-130
  11. J. J. Williams
    Pages 131-146
  12. J. J. Williams
    Pages 147-173
  13. Back Matter
    Pages 175-197

About this book


Modern design methods of Automotive Cam Design require the computation of a range of parameters. This book provides a logical sequence of steps for the derivation of the relevant equations from first principles, for the more widely used cam mechanisms. Although originally derived for use in high performance engines, this work is equally applicable to the design of mass produced automotive and other internal combustion engines. 

 Introduction to Analytical Methods for Internal Combustion Engine Cam Mechanisms provides the equations necessary for the design of cam lift curves with an associated smooth acceleration curve. The equations are derived for the kinematics and kinetics of all the mechanisms considered, together with those for cam curvature and oil entrainment velocity. This permits the cam shape, all loads, and contact stresses to be evaluated, and the relevant tribology to be assessed. The effects of asymmetry on the manufacture of cams for finger follower and offset translating curved followers is described, and methods for transformation of cam shape data to that for a radial translating follower are given. This permits the manufacture and inspection by a wider range of CNC machines.

The calculation of unsteady camshaft torques is described and an outline given for evaluation of the components for the lower engine orders. The final chapter presents analysis of push rod mechanisms, including a four bar chain mechanism, which is more robust.

Written both as a reference for practising automotive design and development Engineers, and a text book for automotive engineering students, Introduction to Analytical Methods for Internal Combustion Engine Cam Mechanisms gives readers a thorough introduction into the design of automotive cam mechanisms.


Asymmetric Cam Mechanisms Cam Design Cam Manufacture Entrainment Velocity Internal Combustion Engine Low Jerk Acceleration Curve

Authors and affiliations

  1. 1.Oxendon SoftwareMarket HarboroughUnited Kingdom

About the authors

Dr JJ Williams was involved in research into flow-induced vibrations of large structures and rotating machinery for 7 years. His best known work from this period is on the Vibration of Cooling Tower Shells. He then spent 18 years as a University Teacher lecturing in a wide range of subjects in Mechanical, Civil and Electrical Engineering. During his last five years as an Academic, his research was centred on analysis of cam mechanisms and valve spring vibration. For a further 18 years he worked as a Design Analyst at Ilmor Engineering, where much of his time was devoted to writing software for the design of valve train components and engine bearings for CART, Indy Car and Formula One. This software was also suitable for other engines and he designed cams for a 1920 Miller Straight 8, together with Rolls Royce Merlin Engines for a P51 Mustang and the Battle of Britain Flight. A more extreme version of these cams was also produced for use in a Mustang for the Reno Air Races. More recently he has worked as a consultant writing programs mainly for the design of valve trains for Formula One, high performance sports-racing cars and motor cycle engines.

Bibliographic information

  • Book Title Introduction to Analytical Methods for Internal Combustion Engine Cam Mechanisms
  • Authors J J Williams
  • DOI
  • Copyright Information Springer-Verlag London 2013
  • Publisher Name Springer, London
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-1-4471-4563-9
  • Softcover ISBN 978-1-4471-6085-4
  • eBook ISBN 978-1-4471-4564-6
  • Edition Number 1
  • Number of Pages XVIII, 198
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Automotive Engineering
    Engineering Design
  • Buy this book on publisher's site
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