General Spatial Involute Gearing / Edition 1

General Spatial Involute Gearing / Edition 1

by Jack Phillips
     
 

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ISBN-10: 3540442049

ISBN-13: 9783540442042

Pub. Date: 01/21/2003

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540442042
Publisher:
Springer Berlin Heidelberg
Publication date:
01/21/2003
Edition description:
2003
Pages:
498
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Prologue.- Synopsis.- One Basic Kinematics of the Gear Set.- Two The Fundamental Law of Gearing.- Three Mating Involute Helicoids.- Four Key Aspects of the Geometry.- Five (A) The Simplicity of Equiangularity.- Five (B) Synthesising an Equiangular Set.- Six The Plain Polyangular Option.- Seven Worm Drives Offset and Non-Offset.- Eight Exoticism by Accident or Design.- Nine (A) Helicality Tight Mesh and Backlash.- Nine (B) Mechanics of the Phantom Rack.- Ten Mathematics of the Machining.- 11 Aspects of the Physical Reality.- 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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