Discover the worlds research 20 million members 135 million publications 700k research projects Join for free Public Full-text 1 Content uploaded by Robert Errichello Author content All content in this area was uploaded by Robert Errichello on Jun 20, 2014 Content may be subject to copyright.Reviewed by Robert Errichello This book is a true textbook on involute gears, the first since the classic works of Buckingham and Merritt.
![]() Fillet Radius Of Spur Gear Formula Free Public FullIt will be ex- tremely useful to graduate students, practicing gear engineers. Fillet Radius Of Spur Gear Formula Software For GearThose who wish to develop computer software for gear geometry will find the presentation style, algorithms, and example problems very helpful. Professor Colbourne has a skill for describing complicated gear geometry in a straight-forward manner that impresses the reader with its clarity. He derives all equations from first prin- ciples such as the Law of Gearing, and reduces the equations to useful design algorithms. ![]() The chapter on the goemetry of noninvolute gears is especially helpful for defin- ing the shape of the root fillets of involute gears. The author has chosen to cover spur gears in Part 1 (Chapters 1-12) and helical gears in Part 2 (Chapters 13-17), believing that gear geometry is more easily understood if one studies the simpler geometry of a spur gear first and follows with the more general case of a helical gear. A potential dif- ficulty with this arrangement is that there may be cases where the reader is left wondering whether a particular result derived for a spur gear applies to a helical gear. Vector theory is used to describe the three-dimensional geometry of helical gears. Students should feel comfortable with the vector algebra, while some older engineers may be somewhat dismayed by the apparent complexity of the equa- tions. However, vector theory is carefully and gradually in- troduced and used mainly in derivations and proofs. With a little review of vector mechanics, most engineers should not be overwhelmed. The equation symbols generally agree with those used in North America except the author has refined his notation so that it is consistent and very easy to follow. Metric module is used to describe tooth size as is the practice in Europe and Japan. However, the relation between diametral pitch and module is explained and several of the examples are given in terms of diametral pitch. The book begins with a description of the requirements for a constant angular velocity ratio and a definition of the Law of Gearing. The relationship of the path of contact for con- jugate profiles and the basic rack is explained. ![]() Equations for the basic parts of gear teeth are given; pitch, tooth thickness, addenda, dedenda, etc. It is demonstrated that the base pitch and pressure angle of the I Consulant. GEARTECH, 1017 Pornonn Ave. Alh:ny. CA Y47M. basic rack are fundamental, and sufficient to define a system of involute gear teeth. The kinematics of a pinion meshed with a rack or another external gear are described and equations are mven for calculating the displacement and velocity at any point in the meshing cycle. The influence of variation in center distance on the operating conditions are explored, and the important ad- vantage of involute gear teeth is highlighted: any pair of in- volute gears can mesh correctly provided their base pitches are equal, regardless of small changes to the center distance. There is a chapter on calculating contact ratio and backlash which also gives methods for checking for gear tooth interference.
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