Theory and Practice of Gearing and Transmissions: In Honor of Professor Faydor L. Litvin

452 Pages·2016·21.209 MB·English

by  Veniamin Goldfarb, Natalya Barmina (eds.)

Mechanisms and Machine Science 34
Veniamin Goldfarb
Natalya Barmina Editors
Theory and
Practice of
Gearing and
Transmissions
In Honor of Professor Faydor L. Litvin
Mechanisms and Machine Science
Volume 34
Series editor
Marco Ceccarelli, Cassino, Italy
More information about this series at http://www.springer.com/series/8779
Veniamin Goldfarb Natalya Barmina
(cid:129)
Editors
Theory and Practice
of Gearing and Transmissions
In Honor of Professor Faydor L. Litvin
123
Editor Assistant Editor
VeniaminGoldfarb Natalya Barmina
Institute of Mechanics Institute of Mechanics
Kalashnikov IzhevskState Technical Kalashnikov IzhevskState Technical
University University
Izhevsk Izhevsk
Russia Russia
ISSN 2211-0984 ISSN 2211-0992 (electronic)
Mechanisms andMachineScience
ISBN978-3-319-19739-5 ISBN978-3-319-19740-1 (eBook)
DOI 10.1007/978-3-319-19740-1
LibraryofCongressControlNumber:2015944439
SpringerChamHeidelbergNewYorkDordrechtLondon
©SpringerInternationalPublishingSwitzerland2016
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Preface
Thepresentbookispublishedtohonortheoutstandingscientist,thefounderofthe
moderntheoryofgearing,Prof.FaydorL.Litvin,whocelebratedhis100thbirthday
in 2014. The International Symposium “Theory and Practice of Gearing” was
dedicatedtothisevent.ItwasheldduringJanuary21−23,2014inIzhevsk,Russia.
TheideaoforganizingthisSymposiumwassupportedbytheExecutiveCouncilof
International Federation for the Promotion of Mechanism and Machine Science
(IFToMM).Thebookcomprisesresultsofscientificresearchwhichwerediscussed
at the Symposium and supplemented later with new information. The contributors
tothisbookarescientistsinthefieldofthetheoryandpracticeofgearing,manyof
whom were students of Prof. F. Litvin.
ThebookisprefacedbytwocontributionsdedicatedtotheworkofProf.Litvin
in different periods of his life in Russia and USA. These two papers comprise an
almostcompletelistofhispublicationswithintheseperiods.Thegreatestpartofthe
contributions touches upon issues of development of the theory of gearing and
practiceofdesign,researchandcontactqualitycontrolfordifferenttypesofgears—
helicalandasymmetricalcylindrical,wormandspiroid,bevelandhypoid,planetary
and composite gears. A number of papers present the development of gear gener-
ating methods and methods of designing the applied machine tools. One paper is
devoted to the description of a new concept of design process for gearboxes and
gearbox systems.
The book will be of interest and advantage to scientists and practical engineers
dealingwithgeardesign,researchandproductionandalsotoyoungresearchersand
students interested in new perspective directions of creating and applying the
progressive gears and methods of their synthesis and analysis.
The authors are thankful to IFToMM for the support of our activity and to
Springer, which is one of the most authoritative publishing houses of scientific
literature, for their assistance in publishing this book.
Veniamin Goldfarb
v
Contents
Prof. Faydor L. Litvin: A Life Dedicated to the Development
of the Modern Theory of Gearing . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
A. Fuentes
Prof. F.L. Litvin: Contribution to the Formation of the Russian
School of the Theory of Gearing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
S. Lagutin and N. Barmina
Considerations on History of Mechanism and Machine Science
with an IFToMM Role for Future Developments. . . . . . . . . . . . . . . . . 37
M. Ceccarelli
Development of the Theory and Practice of Spiroid Gears. . . . . . . . . . 55
V. Goldfarb
Cause of Failure Beyond Conjugate Theory of Gear Meshing . . . . . . . 67
A. Kubo
Several Issues of Tooth Generating Process by Two-Parametric
Families of Generating Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
E. Trubachev
Direct Gear Design for Asymmetric Tooth Gears . . . . . . . . . . . . . . . . 117
A. Kapelevich
Analogs of Axes of Meshing in General Type Worm Gearing . . . . . . . 145
S. Lagutin
vii
viii Contents
Development of Kinematic Method of Theory of Gearing
to Determine Areas of Tooth Flanks Produced by Jogs
of Generating Solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
D. Babichev
Damage Types, Load Capacity and Efficiency of Crossed Helical
Gears with Wheels from Sintered Steel. . . . . . . . . . . . . . . . . . . . . . . . 189
A. Miltenović
Modern Methods of Calculation and Increasing the Load-Carrying
Capacity of Surface-Hardened Gears of Transmissions and Drives . . . 233
E. Tesker and S. Tesker
Kinematical and Efficiency Analysis of Planetary Gear Trains
by Means of Various Graph-Based Approaches . . . . . . . . . . . . . . . . . 263
J. Drewniak, J. Kopec and S. Zawislak
Rational Designs of Planetary Transmissions, Geometry of Gearing
and Strength Parameters. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285
F. Plekhanov and V. Goldfarb
Compensation of Errors of Alignment Caused by Shaft Deflections
in Spiral Bevel Gear Drives. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301
A. Fuentes, R. Ruiz-Orzaez and I. Gonzalez-Perez
Ease-Off and Application in Tooth Contact Analysis for Face-Milled
and Face-Hobbed Spiral Bevel and Hypoid Gears. . . . . . . . . . . . . . . . 321
Q. Fan
Methods and Results of Composite Gears Design . . . . . . . . . . . . . . . . 341
S. Shil’ko, V. Starzhinsky and E. Petrokovets
Selection of Overlap Ratios in Helical Gear with Low
Vibration Excitation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369
O. Kosarev
Terminology and Design of Asymmetrical Gears for Aircraft . . . . . . . 381
A. Novikov, V. Golovanov, D. Dorofeyev and V. Dorofeyev
Quality Control of Spur Gears on the Basis of Simulating
Their Production Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393
M. Kane
Contents ix
New Concept of the Process of Designing Gearboxes
and Gear Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
V. Goldfarb, O. Malina and E. Trubachev
Design of Shaping Machine and Tooling Systems
for Gear Manufacturing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 425
A. Krivosheya, Ju. Danilchenko, M. Storchak and S. Pasternak
Prof. Faydor L. Litvin: A Life Dedicated
to the Development of the Modern Theory
of Gearing
A. Fuentes
Abstract The American period in the development of the theory of gearing by
Prof. Faydor L. Litvin is described. Professor Litvin has dedicated his life to the
developmentofthetheoryofgearing,andhasmadesignificantcontributionstothe
development of the theory of mechanisms. He has developed two professional
careers,oneinRussiaandanotherintheUnitedStates,havingbecomearespected
andrenownedauthorityinkinematicsandthetheoryofgearing,andhavingtrained
andsupervisedmorethan85Ph.D.studentsandvisitingscholarsfromalloverthe
world,allofwhomwentontoreceiveprominentresearchandteachingpositionsin
the USA, Japan, Australia, Bulgaria, China, Taiwan, Italy, Spain, and Russia.
(cid:1)
Keywords Faydor L. Litvin Theory of gearing
FaydorL.Litvin-Year2002
A.Fuentes(&)
DepartmentofMechanicalEngineering,PolytechnicUniversityofCartagena(UPCT),
Cartagena,Spain
e-mail:[email protected]
©SpringerInternationalPublishingSwitzerland2016 1
V.GoldfarbandN.Barmina(eds.),TheoryandPracticeofGearing
andTransmissions,MechanismsandMachineScience34,
DOI10.1007/978-3-319-19740-1_1