AGMA-02FTM2-2002.pdf
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1、02FTM2 Development and Application of Computer- -Aided Design and Tooth Contact Analysis of Spiral- -Type Gears with Cylindrical Worms by: V.I. Goldfarb and E.S. Trubachov, Izhevsk State Technical University TECHNICAL PAPER American Gear Manufacturers Association Copyright American Gear Manufacturer
2、s Association Provided by IHS under license with AGMA Licensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 04/18/2007 11:37:43 MDTNo reproduction or networking permitted without license from IHS -,-,- Development and Application of Computer- -Aided Design and Tooth Contact Analysis o
3、f Spiral- -Type Gears with Cylindrical Worms V.I. Goldfarb and E.S. Trubachov, Izhevsk State Technical University Thestatementsandopinionscontainedhereinarethoseoftheauthorandshouldnotbeconstruedasanofficialactionor opinion of the American Gear Manufacturers Association. Abstract Thepaperpresentsthe
4、methodofstep- -by- -stepcomputer- -aideddesignofspiral- -typegearswithworms,whichinvolves gearschemedesign,geometricalcalculationofagearing,drivedesign,calculationofmachinesettingsandtooth- -contact analysis. Models of operating and machine- -tool gearing have been developed, including models of fla
5、nk generation and their actual interaction with account of flank modifications, manufacture and assembly errors, force and temperature deformations, and drive element wear as acting in real gearing. Possibilities of CAD- -technique application are shown to solve design and manufacture tasks for gear
6、boxes and gear- -motors with spiral- -type gears. Copyright 2002 American Gear Manufacturers Association 1500 King Street, Suite 201 Alexandria, Virginia, 22314 October, 2002 ISBN: 1- -55589- -802- -5 Copyright American Gear Manufacturers Association Provided by IHS under license with AGMA Licensee=
7、IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 04/18/2007 11:37:43 MDTNo reproduction or networking permitted without license from IHS -,-,- DEVELOPMENT AND APPLICATION OF COMPUTER-AIDED DESIGN AND TOOTH CONTACT ANALYSIS OF SPIRAL-TYPE GEARS WITH CYLINDRICAL WORMS V.I. Goldfarb and E.S.
8、 Trubachov Institute of Mechanics, Izhevsk State Technical University 7, Studenchenskaya str., Izhevsk 426069 Russia Tel/Fax +7 3412 590578 email: goldim.udm.ru Introduction The design process of any kind of gearing is a complex multi-step procedure; and different directions of the design and choice
9、 of parameters are possible with respect to many factors: initial requirements to the gear under design, mode of its operation, the applied technique, specific decisions made by a designer, and others. The determinacy level of the design procedure depends on the accumulated experience of design, man
10、ufacture and application of gears, formalized as standards for the calculation and CAD systems. Note that the design procedure is not quite determinate even for the most widespread cylindrical gear with its national and international standards and plenty of various computer systems, since there are
11、(and obviously, there will be) many unsolved questions related with the strength evaluation, wear resistance, vibration activity, thermal balance, different degrees of manufacturing accuracy, materials of links, lubricants, modes of loading and so on. Lets divide conventionally all the variety of ge
12、ars into two groups depending on the existence or absence of standards (technique stated by law) for the calculation (design) of a gear. The first group is for gears with the worked out standards. Its interesting to note that CAD systems for a gear design may be also divided conditionally into two g
13、roups depending on the same feature - availability of the standard design technique. The bases of first group CAD systems are standards. All the following computer systems (we name them CAI systems - Computer Aided Investigation) - applied to investigate the corresponding gearing - are a kind of sub
14、ordinate ones and intended to solve special research tasks (influence of errors, stress loading, noise and so on) and modernize the basic standard and its corresponding CAD system. The second group of CAD systems are in the essence CAI systems. The gear design is performed in this case when investig
15、ating the range of parameter values. The design experience accumulated under such investigation may be formed as some CAD system which is a component of the CAI system and is mostly the information data base of design references for certain ranges of initial parameters. Spiral-type gears are referre
16、d to the second group of gears. They are gears with skew axes with the geometrical features of hypoid type gears but they are related to worm type gears according to the manufacturing technique 1. The remarkable role in the appearance (1954) and development of such gears was played by ITW Inc., unde
17、r the trade name spiroid, and its representatives O.Saari 2, 3 and others W. Nelson 4, 5 and others. Specific features and advantages of this gear are described in a great number of publications the major of which come from Russia lately 6, 7, 8, 9 and others where it has been studied for about 40 y
18、ears (spiroid gears are young compared with others with the age of several centuries). Nowadays many varieties of this gear are known, some of them are shown in Fig.1, and their effective applications in different technical fields are known to be successful within a big range of performance paramete
19、rs - gear ratio from 4 to 600 in one gear pair and torque from 1 to 50000 Nm and more. The computer system for spiral-type gear design described in this paper is in the essence a CAI system. Construction Fundamentals and Structure of Design Process 1. Any kind of gear may have the following sequence
20、 of CAD creation: - the construction fundamentals and the structure of design process are formed; - methods of task solution at separate stages with account of the designed gear features are chosen and developed; - the structure of system and its software is worked out. Lets open some principle aspe
21、cts of this sequence. Copyright American Gear Manufacturers Association Provided by IHS under license with AGMA Licensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 04/18/2007 11:37:43 MDTNo reproduction or networking permitted without license from IHS -,-,- The construction fundamen
22、tals of the design process are also obvious enough: - accurate division of the statements of the design tasks, independent and variable groups, input and output parameters, dependent and independent on given design requirements; this principle allows to focus the design purpose and construct informa
23、tional bonds; - separation (decomposing) of the design process into stages with corresponding subsets of input and output parameters, which allows to eliminate unacceptable variants at primary stages and accelerate the process of choosing the required design solution; - setting of the order of param
24、eter definition at each stage depending on the problem statement and design requirements. Lets discuss briefly another principle item connected with the statement of the design task. The preferable variant of the statement is the following: ( ),pf gpP gG= (1) where p - are the values of gear paramet
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