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ANSI AGMA 1103-H07-2007 Tooth Proportions for Fine- Pitch Spur and Helical Gearing (Metric Edition).pdf

1、ANSI/AGMA1103-H07ANSI/AGMA 1103-H07(Metric Edition ofANSI/AGMA 1003-H07)Reaffirmed March 2014AMERICAN NATIONAL STANDARDTooth Proportions for Fine-Pitch Spur andHelical Gearing (Metric Edition)iiTooth Proportions for Fine-Pitch Spur and Helical Gearing (Metric Edition)ANSI/AGMA 1103-H07ApprovalofanAm

2、ericanNationalStandardrequiresverificationbyANSIthattherequire-ments for due process, consensus, and other criteria for approval have been met by thestandards developer.Consensusisestablishedwhen,inthejudgmentoftheANSIBoardofStandardsReview,substantial agreement has been reached by directly and mate

3、rially affected interests.Substantialagreementmeansmuchmorethanasimplemajority,butnotnecessarilyuna-nimity. Consensus requires that all views and objections be considered, and that aconcerted effort be made toward their resolution.TheuseofAmericanNationalStandardsiscompletelyvoluntary;theirexistence

4、doesnotin any respect preclude anyone, whether he has approved the standards or not, frommanufacturing, marketing, purchasing, or using products, processes, or procedures notconforming to the standards.The American National Standards Institute does not develop standards and will in nocircumstances g

5、ive an interpretation of any American National Standard. Moreover, noperson shall have the right or authority to issue an interpretation of an American NationalStandardinthenameoftheAmericanNationalStandardsInstitute. Requestsforinterpre-tation of this standard should be addressed to the American Ge

6、ar ManufacturersAssociation.CAUTION NOTICE: AGMA technical publications are subject to constant improvement,revision, or withdrawal as dictated by experience. Any person who refers to any AGMAtechnical publication should be sure that the publication is the latest available from theAssociation on the

7、 subject matter.Tablesorotherself-supportingsectionsmaybereferenced. Citationsshouldread: SeeANSI/AGMA1103-H07,ToothProportionsforFine-PitchSpurandHelicalGearing(Met-ricEdition),publishedbytheAmericanGearManufacturersAssociation,500MontgomeryStreet, Suite 350, Alexandria, Virginia 22314, http:/www.a

8、gma.org.Approved September 19, 2007ABSTRACTToothproportionsforfine-pitchgearingaresimilartothoseofcoarsepitchgearingexceptinthematterofclear-ance. For20degreeprofileanglefine-pitchgearing,thisstandardprovidesasystemofenlargedpinionswhichusetheinvoluteformabove5degreesofroll. Dataon14-1/2and25degreep

9、rofileanglesystems,aswellasadiscussion of enlargement and tooth thickness are included in the annexes.Published byAmerican Gear Manufacturers Association500 Montgomery Street, Suite 350, Alexandria, Virginia 22314Copyright 2007 by American Gear Manufacturers AssociationAll rights reserved.No part of

10、 this publication may be reproduced in any form, in an electronicretrieval system or otherwise, without prior written permission of the publisher.Printed in the United States of AmericaISBN: 978-1-55589-903-5AmericanNationalStandardANSI/AGMA 1103-H07AMERICAN NATIONAL STANDARDiii AGMA 2007 - All righ

11、ts reservedContentsForeword iv.1 Scope 1.2 Normative references 1.3 Terms and symbols 1.4 General features 35 Basis for enlarged (long addendum) pinions 6Bibliography 25.AnnexesA Tooth proportions for 14-1/2 degree fine-pitch gearing 13B Tooth proportions for 25 degree fine-pitch gearing 15.C Helica

12、l pinion enlargement 16D Calculations to obtain standard clearance for enlarged pinions andstandard gears 18E Comparative systems for selecting tooth thickness of pinions 20Tables1 Terms and symbols 2.2 Diametral pitch, standard tooth proportions and formulas (inch system) 43 Standard diametral pitc

13、h tooth dimensions, inches 5420 Profile angle - enlarged spur pinions 9.520 Profile angle - reduced spur gears 10.Figures1Basicrack 3.2 Effect of profile shift (addendum modification) 6.3 Form diameter on undercut teeth 74 Form diameter on fillet blend teeth 75 Center distance and line of action 11A

14、NSI/AGMA 1103-H07 AMERICAN NATIONAL STANDARDiv AGMA 2007 - All rights reservedForewordThe foreword, footnotes and annexes, if any, in this document are provided forinformational purposes only and are not to be construed as a part of AGMA Standard1103-H07, Tooth Proportions for Fine-Pitch Spur and He

15、lical Gearing (Metric Edition).As originally developed by the American Gear Manufacturers Association, this standardwasintwoparts:thefirstpart,Clearancefor20-DegreePressureAngleFine-PitchGears(AGMA 470.01); and the second, 20-Degree Involute Fine-Pitch System for Spur Gears(AGMA 207.02).In May, 1949

16、, the two standards were combined and completely re-edited. The nextrevision of this standard was begun in 1955.Asaresultoftheincreasinguseofgearsbysinteringandinjectionmoldingprocess,andforgreater tooth strength, tooth forms for 25 degree pressure angle were included. Controlgearing containing larg

17、e numbers of teeth was recognized by data on the 14-1/2 degreepressure angle system in the information sheets.AGMA 207.05, was approved by Sectional Committee B6 and by the sponsors, anddesignated USA Standard B6.7-1967 as of September 18, 1967.Due to difficulties encountered in fabricating gears wi

18、th involute profiles to the base circle,theFine-Pitchcommitteedevelopedanewsetoftoothproportionsforenlargedpinionsthatwould not require active tooth profiles below five degrees of roll.AGMA 207.06 was approved by the Fine-Pitch Gearing Committee in June, 1971 andapproved by the membership as of May,

19、 1974.ANSI/AGMA 1003-G93 was a revision of AGMA 207.06. The term “profile angle” wasintroduced in place of the basic rack “pressure angle”. Metric data were added, includingISO symbols. Tables for 20 degree profile angle were revised, and supported with simplerequations and procedures. The lower ran

20、ge of tooth numbers was redone with lessenlargement,improvedcontactratio,andlessspecificsliding. Datafor7and8toothpinionswere omitted, as they require special design consideration beyond the scope of thisstandard. A revised procedure was employed to verify undercut limits, superseding theapproximate

21、andmoreconservativepriormethod. Formulasweresuppliedforalltabulateddata. The data on helical gearing was revised using a simple procedure to allow helicalconfiguration.Information was added to clarify the distinction between form diameter as generated andthe limit diameter established by operational

22、 contact, which determines the contact ratio.Clarificationwasmaderegardingcategoriesofcenterdistancewhichoftenwasasourceofconfusion in the prior standard. Cautionary notes were added to indicate that meshesemployingverysmallnumbersofteeth,whilegeometricallycorrect,stillrequireanalysesforstrength,dur

23、ability,andclearances. The5degreeformdiameterenlargementmethodwasextended to include the 14-1/2 degree system, and revisions were made to the 25 degreesystem.ANSI/AGMA 1003-G93 was approved by the Fine-Pitch Gearing Committee in February,1992 and approved by the AGMA Board of Directors as of May, 19

24、92.ANSI/AGMA 1103-H07 adds clause 4.9 on fillet root radius values due to cutting tool tipradius, and annex E, which compares several systems for selecting tooth thickness ofpinions.ThefirstdraftofANSI/AGMA1103-H07wasmadeinSeptember,1999. ItwasapprovedbytheAGMAmembershipinMarch,2006. Itwasapprovedas

25、anAmericanNationalStandardon September 19, 2007Suggestions for improvementofthis standardwillbewelcome. TheyshouldbesenttotheAmericanGearManufacturersAssociation,500MontgomeryStreet,Suite350,Alexandria,Virginia 22314.ANSI/AGMA 1103-H07AMERICAN NATIONAL STANDARDv AGMA 2007 - All rights reservedPERSON

26、NEL of the AGMA Fine-Pitch Gearing CommitteeChairman: Daniel J. Seger Perry Technology Corporation.Vice Chairman: M. Khawar Anwar All American Mechanical Components and.Gears, Inc.ACTIVE MEMBERSD.E. Bailey Rochester Gear, IncT.H. Dobosz MPC Products CorporationM. Eichinger MPC Products CorporationY.

27、 Kotlyar Bodine Electric Company.I. Laskin ConsultantH. Minasian Consultant.ANSI/AGMA 1103-H07 AMERICAN NATIONAL STANDARDvi AGMA 2007 - All rights reserved(This page is intentionally blank)1 AGMA 2007 - All rights reservedANSI/AGMA 1103-H07AMERICAN NATIONAL STANDARDAmerican National Standard -Tooth

28、Proportions forFine-Pitch Spur and He-lical Gearing (Metric Edi-tion)1 ScopeThisstandardisapplicabletoexternalspurandheli-cal gears with 1.25 through 0.2 module and a profileangle of 20 degrees.It only applies to standard gears with 24 teeth ormore; enlarged pinions with 9 through 23 teeth; andreduc

29、ed gears for meshing with enlarged pinions atstandard center distances.Much of this same information is applicable to inter-nal gears.1.1 Tooth proportionsThetoothproportionsshownhereinmaybeusedformany gear designs of finer than 0.2 module; how-ever,suchdesignsshouldbecheckedforsuitability,particula

30、rly in the areas of contact ratio, undercut-ting, and clearance.This standard is similar to ISO 53, Cylindrical gearsforgeneralandheavyengineering - Standardbasicrack tooth profile.Themaindifferencebetweentheproportionsoffine-pitchgearsandthoseofcoarse-pitchisintheclear-ance.Infine-pitchgearing,wear

31、onthepointsofthecuttingtoolsisproportionallygreaterthanincoarse-pitchtools.Thefilletradiusproducedbysuchtoolingwill therefore be proportionally greater. The in-creased clearance in gearing of 1.25 module andfiner provides both for the relatively larger fillet andalso for foreign material that tends

32、to accumulate atthe bottoms of the teeth.1.2 Number of teethGear designs with low numbers of teeth should bechecked for suitability, particularly in the areas ofcontactratio,undercutting,andclearance,aswellasforstrengthanddurabilityforloadandlifeconsidera-tions.2 Normative referencesThe following st

33、andards contain provisions which,throughreferenceinthistext,constituteprovisionsofthisAmericanNationalStandard. Atthetimeofpub-lication, the editions indicated were valid. All stan-dards are subject to revision, and parties toagreements based on this American National Stan-dard are encouraged to inv

34、estigate the possibility ofapplyingthemostrecenteditionsofthestandardsin-dicated below.AGMA 904-C96, Metric UsageAGMA 917-B97, Design Manual for Fine-PitchGearingANSI/AGMA 1012-G05, Gear Nomenclature,Definitions of Terms with SymbolsANSI/AGMA1102-A03,ToleranceSpecificationforGear HobsANSI/AGMA 2002-

35、B88, Tooth ThicknessSpecification and MeasurementANSI B94.21, Shaper Cutters3 Terms and symbols3.1 TermsThetermsused,whereverapplicable,conformtothefollowing standards:ANSI/AGMA 1012-G05, Gear Nomenclature,Definitions of Terms with SymbolsAGMA 904-B89, Metric Usage3.2 SymbolsThesymbolsusedinthisstan

36、dardareshownintable1.NOTE: The symbols and definitions used in this stan-dard may differ from other AGMA standards. The usershould not assume that familiar symbols can be usedwithout a careful study of these definitions.ANSI/AGMA 1103-H07 AMERICAN NATIONAL STANDARD2 AGMA 2007 - All rights reservedTa

37、ble 1 - Terms and symbolsISOSymbolDescription Units Wherefirst useda Center distance mm Table 2adCalculated tight mesh center distance mm Eq 16c Clearance mm Table 2cpClearance, gear tip to pinion root mm Table 4d Pitch diameter mm Table 2daeOutside diameter mm Table 2dae1Outside diameter of pinion

38、mm Eq 15dae2Outside diameter of gear mm Eq 15dfRoot diameter mm Table 2d1Standard pitch diameter of pinion mm Eq 15d2Standard pitch diameter of gear mm Eq 15haAddendum mm Table 2ha1Addendum, pinion mm Table 4ha2Addendum, gear mm Table 5hfDedendum mm Table 2htWhole depth mm Table 2hwWorking depth mm

39、Table 2j Backlash mm 4.6mnModule, normal mm Table 2mtModule, transverse mm Table 2p Circular pitch, normal mm Table 2ptCircular pitch, transverse mm Table 2rb1Base radius of pinion mm Figure 5rb2Base radius of gear mm Figure 5re1Outside radius of pinion mm Figure 5re2Outside radius of gear mm Figure

40、 5rfmaxFillet radius, maximum mm Table 2seTooth thickness at outside diameter mm 5.4sei1Top land, pinion mm Table 4sei2Top land, gear mm Table 5snTooth thickness, normal mm Table 2stTooth thickness, transverse mm Table 2s1Tooth thickness, pinion mm Eq 19s2Tooth thickness, gear mm Eq 19z Number of te

41、eth - - Table 2zgNumber of teeth, calculated - - Eq 20z1Number of teeth, pinion - - Table 2z2Number of teeth, gear - - Table 2dTransverse pressure angle at calculated tight mesh center distance degrees Eq 16ePressure angle at outside diameter degrees Eq 13nProfile angle, normal degrees Table 2tBasic

42、 rack transverse profile angle degrees Eq 200Profile angle degrees Table 2mHelix angle degrees Table 2a Center distance enlargement with rack mm 5.9haAddendum modification mm Eq 6(continued)ANSI/AGMA 1103-H07AMERICAN NATIONAL STANDARD3 AGMA 2007 - All rights reservedTable 1 (concluded)ISOSymbolDescr

43、iption Units Wherefirst useds Tooth thickness modification mm Eq 4x Enlargement mm Eq 3Contact ratio - - Eq 15xCalculated tight mesh contact ratio - - Eq 16xContact ratio, enlarged - - Table 44 General features4.1 Basic rackThe basic rack shown in figure 1 is used to illustratethetoothproportionscov

44、eredbythisstandard. Thisstandard permits freedom of choice in makingchanges in the gear tooth proportions to meet spe-cial design conditions as long as the resulting gearsare fully conjugate to the basic rack. Such changesmay be indicated when a special contact ratio ormodification for tooth strengt

45、h is desired.4.1.1 Spur gearsThe basic rack shown in figure 1 and the tooth pro-portions shown in table 2 provide the basic designdata for spur gear teeth.4.1.2 Helical gearsHelicalteethcoveredbythisstandardareconjugatein the normal plane to the basic rack shown in figure1 and table 2.4.2 Pressure a

46、ngle and profile angle4.2.1 Pressure angle, 0While profile angle is the slope of the cutting tool, apressure angle may be defined at any point on theflank of a gear tooth. See ANSI/AGMA 1012-G05for further discussion.4.2.2 Profile angleThestandardprofileangleis20degrees,andisrec-ommended for most ap

47、plications. In the annexes,data may be found on 14-1/2 and 25 degree profileanglesystems. Profileangleofhelicalteethistakenin the normal plane.In certain cases, notably some sintered or moldedgears, or in gearing where greatest strength andwear resistance are desired, a 25 degree profile an-gle may

48、be required. Profile angles greater than 20degrees tend to require the use of generating toolshaving very narrow point widths. In addition, largerprofile angles require closer control on center dis-tance tolerance for those gear trains in which back-lash is critical.Incaseswhereconsiderationsofangul

49、arpositionorbacklash are critical, and where both pinions andgears contain relatively large numbers of teeth, a14-1/2 degree profile angle may be desirable. Ingeneral, profile angles of less than 20 degrees re-quire a greater amount of modification to avoid un-dercut problems, and are limited to larger totalnumbers of teeth in gear and pinion when operatingon a standard center distance.WorkingdepthClearanceWholedepthCircularpitchAddendumDedendumPitchlineFilletradi

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