1. History of Asymmetric Gears and Modern State of Art 2. Macrogeometry of Asymmetric Tooth Gears 3. Area of Existence 4. Asymmetric Gearing Limits 5. Gear Geometry Optimization 6. Stress Analysis and Rating of Asymmetric Gears 7. Special Types of Asymmetric Gears 8. Tolerancing and Tolerance Analysis 9. Asymmetric Gear Manufacturing 10. Symmetric vs. Asymmetric Gears 11. Asymmetric Gear Applications
Dr. Alexander L. Kapelevich is a gear design consultant at AKGears, LLC. He holds a Master’s Degree in Mechanical Engineering at Moscow Aviation Institute and a Ph.D. Degree in Mechanical Engineering at Moscow State Technical University. Dr. Kapelevich has over 40 years of gear transmission research and design experience. He began his career working in the Russian Aviation Industry, where he was involved in R&D, software development, testing, and failure investigation for aerospace gear transmissions. Living in the USA since 1994, he developed the Direct Gear Design methodology for custom gear transmissions which have been implemented in various fields such as aerospace, automotive, agriculture, defense, robotics, racing, and many others. His specialty is the gear drive architecture, planetary systems, gear tooth geometry optimization, gears with asymmetric teeth, and gear transmission performance maximization. Dr. Kapelevich is the author of the book titled "Direct Gear Design" and many technical articles. He is a member of the American Gear Manufacturers Association.
"This book covers the development stages of asymmetric gear trains,
progressing from theory through analysis, manufacturing, and final
applications. The author shows the benefits of the asymmetric mesh
and includes practical recommendations for gear fabrication. This
material can be useful for new gearbox designs as well as for
applications where higher gearbox torque capabilities are required
within limited existing envelopes. Overall, this new work will
offer helpful information for multiple generations of
engineers."
—Yuriy Gmirya, Sikorsky Aircraft Corporation, a Lockheed Martin
Company, USA"Alexander Kapelevich has written a treatise that is
destined to be the classic work on asymmetric gearing. This book is
comprehensive and gives engineers the tools they need to understand
and design asymmetric gears, which have many advantages such as
maximum power density, maximum efficiency, and minimum noise and
vibration. It clearly explains the method of Direct Gear Design®,
which is easy to understand for anyone familiar with involute
gears. The many example gear sets and design charts give
comprehensive design guidelines that show the way forward to
advance state-of-the-art gear design."
—Robert Errichello, GEARTECH, Montana, USA"An author of this book
is well known as a researcher and implementor of asymmetric gears
for over 30 years. His book Asymmetric Gearing reflects his
experience in this area and covers virtually all aspects of the
development of this type of gears, from a historical overview and a
current state of the art to the latest applications. It also
contains a comprehensive bibliography of publications on this
subject. This book is written in a plain understandable style
intending to be an eye-opener for gear engineers who are willing to
look beyond standards and established traditional gear design
practice to achieve the competitive performance of their products.
In my opinion, this book will allow moving forward the field of
Gearing and will be useful for industry experts, researchers, and
students."
—Veniamin I. Goldfarb, Institute of Mechanics, Izhevsk State
Technical University, Izhevsk, Russia"People look for books on gear
engineering, but there is no sufficient information about the
detailed problem of gears with asymmetric tooth form. The book
authored by Dr. Alex Kapelevich on the gear of asymmetric tooth
form is the first comprehensive book on this matter. Dr. Kapelevich
was educated in the Soviet Union, where many mathematicians who can
deal with gear problems were active. He designed gears with
asymmetric tooth form for aircraft gears with big success. I
believe without a doubt, that he is the first man in this field of
technology on gears with asymmetric tooth form. This book contains
much of his experience. I recommend this book for gear engineers
who are interested in gears with asymmetric tooth form."
—Aizoh Kubo, Kubo's Gear Technologies, Kyoto, Japan"This is a very
comprehensive book on the subject of asymmetric gearing, it touches
on the history and then gets deeply technical on the design aspects
with many design examples for the reader to follow along and learn.
It also explains how to manufacture and measure the gears which are
very important since designing them alone is only half the job. Dr.
Kapelevich also covers tolerancing, efficiency, and side by side
comparisons of symmetric and asymmetric gear designs. Altogether it
is very complete, a definitive work by Dr. Kapelevich that is well
timed since the industry is heading towards more optimized and
power dense designs."
— Anders Flodin, Höganäs AB, Sweden"Alexander Kapelevich's newest
book deals with a topic, which seems to be underrated, today:
Asymmetric Gearing. The book offers both, a comprehensive overview
as well as thoroughly researched information about the latest state
of technology along the complete process chain of asymmetric gears.
With many useful explanations and recommendations for the practical
application of asymmetrical gears - from gear geometry over limits,
rating to manufacturing, tolerancing and inspections - this book
offers a lot of valuable information not only about asymmetric but
also general aspects of gears and is a meaningful addition to the
book "Direct Gear Design" of the same author."
—Karsten Stahl, Technische Universität München, Germany" Asymmetric
Gears have been well known in the gear industry for many years but
have not been used very often in practical gear design. Maybe the
reason for that is a lack of knowledge and missing of detailed
description/specification, standards, and computer programs. This
book can help to understand asymmetric gearing much better and to
use the advantages in special applications in which the higher
loaded drive flank can be optimized ". Also, manufacturing and
measurement data have to be calculated and provided to the shop.
Nevertheless, some education at universities and of the staff in
gear companies will also be necessary if more acceptance of
asymmetric gearing should be achieved."
— Franz J. Joachim, Joachim Gear Consulting (before retirement: ZF
Friedrichshafen AG), Germany"A new book by Dr. Alex Kapelevich
"Asymmetric Gearing" is the first book ever on the subject, and
even only due to this, the book can be considered as a significant
event in the gear community of the United States. Besides gears
with asymmetric teeth are known for a long while, there was no a
source of information for the gear engineers, in which the topic is
covered. In his book, Dr. A. Kapelevich has summarized his
tremendous experience and knowledge on asymmetric gear drives. No
doubt the book will find its readers in a short while."
— Stephen P. Radzevich, Ph.D., Dr.Sci., Professor (retired),
Mechanical Engineering, USA
"This book covers the development stages of asymmetric gear trains,
progressing from theory through analysis, manufacturing, and final
applications. The author shows the benefits of the asymmetric mesh
and includes practical recommendations for gear fabrication. This
material can be useful for new gearbox designs as well as for
applications where higher gearbox torque capabilities are required
within limited existing envelopes. Overall, this new work will
offer helpful information for multiple generations of
engineers."
—Yuriy Gmirya, Sikorsky Aircraft Corporation, a Lockheed Martin
Company, USA"Alexander Kapelevich has written a treatise that is
destined to be the classic work on asymmetric gearing. This book is
comprehensive and gives engineers the tools they need to understand
and design asymmetric gears, which have many advantages such as
maximum power density, maximum efficiency, and minimum noise and
vibration. It clearly explains the method of Direct Gear Design®,
which is easy to understand for anyone familiar with involute
gears. The many example gear sets and design charts give
comprehensive design guidelines that show the way forward to
advance state-of-the-art gear design."
—Robert Errichello, GEARTECH, Montana, USA"An author of this book
is well known as a researcher and implementor of asymmetric gears
for over 30 years. His book Asymmetric Gearing reflects his
experience in this area and covers virtually all aspects of the
development of this type of gears, from a historical overview and a
current state of the art to the latest applications. It also
contains a comprehensive bibliography of publications on this
subject. This book is written in a plain understandable style
intending to be an eye-opener for gear engineers who are willing to
look beyond standards and established traditional gear design
practice to achieve the competitive performance of their products.
In my opinion, this book will allow moving forward the field of
Gearing and will be useful for industry experts, researchers, and
students."
—Veniamin I. Goldfarb, Institute of Mechanics, Izhevsk State
Technical University, Izhevsk, Russia"People look for books on gear
engineering, but there is no sufficient information about the
detailed problem of gears with asymmetric tooth form. The book
authored by Dr. Alex Kapelevich on the gear of asymmetric tooth
form is the first comprehensive book on this matter. Dr. Kapelevich
was educated in the Soviet Union, where many mathematicians who can
deal with gear problems were active. He designed gears with
asymmetric tooth form for aircraft gears with big success. I
believe without a doubt, that he is the first man in this field of
technology on gears with asymmetric tooth form. This book contains
much of his experience. I recommend this book for gear engineers
who are interested in gears with asymmetric tooth form."
—Aizoh Kubo, Kubo's Gear Technologies, Kyoto, Japan"This is a very
comprehensive book on the subject of asymmetric gearing, it touches
on the history and then gets deeply technical on the design aspects
with many design examples for the reader to follow along and learn.
It also explains how to manufacture and measure the gears which are
very important since designing them alone is only half the job. Dr.
Kapelevich also covers tolerancing, efficiency, and side by side
comparisons of symmetric and asymmetric gear designs. Altogether it
is very complete, a definitive work by Dr. Kapelevich that is well
timed since the industry is heading towards more optimized and
power dense designs."
— Anders Flodin, Höganäs AB, Sweden"Alexander Kapelevich's newest
book deals with a topic, which seems to be underrated, today:
Asymmetric Gearing. The book offers both, a comprehensive overview
as well as thoroughly researched information about the latest state
of technology along the complete process chain of asymmetric gears.
With many useful explanations and recommendations for the practical
application of asymmetrical gears - from gear geometry over limits,
rating to manufacturing, tolerancing and inspections - this book
offers a lot of valuable information not only about asymmetric but
also general aspects of gears and is a meaningful addition to the
book "Direct Gear Design" of the same author."
—Karsten Stahl, Technische Universität München, Germany" Asymmetric
Gears have been well known in the gear industry for many years but
have not been used very often in practical gear design. Maybe the
reason for that is a lack of knowledge and missing of detailed
description/specification, standards, and computer programs. This
book can help to understand asymmetric gearing much better and to
use the advantages in special applications in which the higher
loaded drive flank can be optimized ". Also, manufacturing and
measurement data have to be calculated and provided to the shop.
Nevertheless, some education at universities and of the staff in
gear companies will also be necessary if more acceptance of
asymmetric gearing should be achieved."
— Franz J. Joachim, Joachim Gear Consulting (before retirement: ZF
Friedrichshafen AG), Germany"A new book by Dr. Alex Kapelevich
"Asymmetric Gearing" is the first book ever on the subject, and
even only due to this, the book can be considered as a significant
event in the gear community of the United States. Besides gears
with asymmetric teeth are known for a long while, there was no a
source of information for the gear engineers, in which the topic is
covered. In his book, Dr. A. Kapelevich has summarized his
tremendous experience and knowledge on asymmetric gear drives. No
doubt the book will find its readers in a short while."
— Stephen P. Radzevich, Ph.D., Dr.Sci., Professor (retired),
Mechanical Engineering, USA
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