General spatial involute gearing
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書誌事項
General spatial involute gearing
Springer, 2003
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内容説明・目次
内容説明
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.
目次
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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