General Spatial Involute Gearing

ISBN-13: 9783642079184 / Angielski / Miękka / 2010 / 498 str.

Jack Phillips

Opis

The theory of planar involute gearing is generalized for the design and machine-cutting of spatial involute gearing. The monograph solves a problem, which has been discussed for over 150 years. Involute skew helicals, oblique involute hypoids, offset involute worms, bevels and straight spur gears are all explicable by the same unifying theory. A fundamental law, not only for involute but for all kinds of gearing, is enunciated and proven. The spatial involute gearing introduced and explained in this book involves in all cases straight line paths for both points of contact, constant angular velocity ratio, absence of any built-in transmission error, the non-importance of all minor errors at assembly, toleration of the flexing of an elastic gear box, and ample opportunity to avoid inadequate load bearing and lubrication. The continuous screw motion of an imaginary straight-sided rack generating contemporaneously both flanks of the spatial involute teeth can be readily related to ordinary engineering practice.

Spis treści

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.