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General Spatial Involute Gearing

  • Book
  • © 2003

Overview

Authors:
  1. Jack Phillips

    1. School of Information Technologies, University of Sydney, Sydney, Australia

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  • General theory of a new kind of gearing with promising properties
  • Adresses scientists on the borderline between applied mathematics (kinematic geometry) and engineering (gear design)
  • Includes supplementary material: sn.pub/extras

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Prologue

    • Jack Phillips
    Pages 1-3

  3. Synopsis

    • Jack Phillips
    Pages 5-11

  4. Basic Kinematics of the Gear Set

    • Jack Phillips
    Pages 13-40

  5. The Fundamental Law of Gearing

    • Jack Phillips
    Pages 41-61

  6. Mating Involute Helicoids

    • Jack Phillips
    Pages 63-105

  7. Key Aspects of the Geometry

    • Jack Phillips
    Pages 107-158

  8. The Simplicity of Equiangularity

    • Jack Phillips
    Pages 159-176

  9. Synthesising an Equiangular Set

    • Jack Phillips
    Pages 177-236

  10. The Plain Polyangular Option

    • Jack Phillips
    Pages 237-284

  11. Worm Drives Offset and Non-Offset

    • Jack Phillips
    Pages 285-310

  12. Exoticism by Accident or Design

    • Jack Phillips
    Pages 311-322

  13. Helicality Tight Mesh and Backlash

    • Jack Phillips
    Pages 323-334

  14. Mechanics of the Phantom Rack

    • Jack Phillips
    Pages 335-348

  15. Mathematics of the Machining

    • Jack Phillips
    Pages 349-406

  16. Aspects of the Physical Reality

    • Jack Phillips
    Pages 407-433

  17. The Screw Systems and Gear Design

    • Jack Phillips
    Pages 435-443

  18. Back Matter

    Pages 445-497
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Keywords

About this book

It has been hard for me to escape the imprint of my early, strong, but scattered trains of thought. There was, at the beginning, little to go by; and I saw no clear way to go. This book is accordingly filled with internal tensions that are not, as yet, fully annealed. Subsequent writers may re-present the work, explaining it in a simpler way. Others may simply invert it. I mean by this that, by writing it backwards, from its found ends {practical machinable teeth) to its tentative beginnings (dimly perceived geometrical notions), one might conceivably write a manual, not on how to understand these kinds of gears, but on how to make them. Indeed a manual will need to be written. If this gearing is to be further investigated, evaluated and checked for applicability, prototypes will need to be made. I wish to say again however that my somewhat convoluted way of presenting these early ideas has been inevitable. It has simply not been possible to present a tidy set of explanations and rules without exploring first (and in a somewhat backwards-going direction) the complexities of the kinematic geometry. There remains, now in this book, a putting together of primitive geometric intuition, computer aided exploration of certain areas, geometric explanations of the discovered phenomena, and a loose sprinkling of a relevant algebra cementing the parts together.

Authors and Affiliations

  • School of Information Technologies, University of Sydney, Sydney, Australia

    Jack Phillips

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