General Spatial Involute Gearing / Edition 1

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More About This Textbook


The theory of planar involute action is generalized here and applied to design and machine-cutting of numerous spatial gearing. The monograph thus solves a problem open for 150 years. Oblique involute hypoids, offset worms, skew helicals, bevels and ordinary spur gears are each solvable by the theory. A fundamental law, not only for involute, but for all kinds of gearing, is proven and elucidated. The skew involute gearing introduced and explained in this book involves straight-line paths of both points of contact, constant angular velocity ratio, absence of any built-in transmission error, the non-importance of all minor errors by assembly, toleration of the flexing of an elastic gear box, and ample opportunity to avoid inadequate load bearing and lubrication. It is shown that the continuous screw motion of an imaginary straight-sided rack that generates contemporaneously both flanks of the general spatial involute teeth, can be readily translated into practice.

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Product Details

  • ISBN-13: 9783540442042
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 10/12/2007
  • Edition description: 2003
  • Edition number: 1
  • Pages: 498
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.13 (d)

Table of Contents

Ch. 1 Basic Kinematics of the Gear Set
Ch. 2 The Fundamental Law of Gearing
Ch. 3 Mating Involute Helicoids
Ch. 4 Key Aspects of the Geometry
Ch. 5(A) The Simplicity of Equiangularity
Ch. 5(B) Synthesising an Equiangular Set
Ch. 6 The Plain Polyangular Option
Ch. 7 Worm Drives Offset and Non-Offset
Ch. 8 Exoticism by Accident or Design
Ch. 9(A) Helicality Tight Mesh and Backlash
Ch. 9(B) Mechanics of the Phantom Rack
Ch. 10 Mathematics of the Machining
Ch. 11 Aspects of the Physical Reality
Ch. 12 The Screw Systems and Gear Design
Table of Numerical Results
Notes and References
Symbols Index Including List of Acronyms
Subjects and Authors Index Alphabetical
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