AGMA 929-A06-2006 Calculation of Bevel Gear Top Land and Guidance on Cutter Edge Radius《锥齿轮顶面的计算和刀刃圆角半径指南》.pdf

1、AGMAINFORMATIONSHEET(This Information Sheet is NOT an AGMA Standard)AGMA929-A06AGMA 929-A06AMERICAN GEAR MANUFACTURERS ASSOCIATIONCalculation of Bevel Gear Top Land andGuidance on Cutter Edge RadiusiiCalculation of Bevel Gear Top Land and Guidance on Cutter Edge RadiusAGMA 929-A06CAUTION NOTICE: AGM

2、A technical publications are subject to constant improvement,revision or withdrawal as dictated by experience. Any person who refers to any AGMAtechnicalpublicationshouldbesurethatthepublicationisthelatestavailablefromtheAs-sociation on the subject matter.Tablesorotherself-supportingsectionsmayberef

3、erenced. Citationsshouldread: SeeAGMA 929-A06, Calculation of Bevel Gear Top Land and Guidance on Cutter EdgeRadius, published by the American Gear Manufacturers Association, 500 MontgomeryStreet, Suite 350, Alexandria, Virginia 22314, http:/www.agma.org.Approved August 22, 2006ABSTRACTThisinformati

4、onsheetsupplementsANSI/AGMA2005-D03withcalculationsforbevelgeartoplandandguid-ance for selection of cutter edge radius for determination of tooth geometry. It integrates various publicationswithmodificationstoincludefacehobbing. Itaddstoplandcalculationsfornon-generatedmanufacturingme-thods. It is i

5、ntended to provide assistance in completing the calculations requiring determination of top landsand cutter edge radii for gear capacity in accordance with ANSI/AGMA 2003-B97.Published byAmerican Gear Manufacturers Association500 Montgomery Street, Suite 350, Alexandria, Virginia 22314Copyright 2006

6、 by American Gear Manufacturers AssociationAll rights reserved.No part of 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: 1-55589-873-4AmericanGearManufacture

7、rsAssociationAGMA 929-A06AMERICAN GEAR MANUFACTURERS ASSOCIATIONiii AGMA 2006 - All rights reservedContentsPageForeword iv.1 Scope 1.2 Symbols, terminology and definitions 13 Input data 54 Calculations 8Bibliography 38.AnnexesA Additional equations from ANSI/AGMA 2005-D03 18B Stock allowance and sta

8、ndard cutter specifications 23.C Spiral bevel example problem 24.D Hypoid example problem 31.Tables1 Symbols and terms 1.2 Input variables 63 Symbols and terms from ANSI/AGMA 2005-D03, table 9 7.4 Gear rotation factor, kE75 Suggested defaults for input data 7.AGMA 929-A06 AMERICAN GEAR MANUFACTURERS

9、 ASSOCIATIONiv AGMA 2006 - 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 InformationSheet929-A06,CalculationofBevelGearTopLandandGuidanceonCutterEdgeRadius.The Bevel G

10、earing Committee recognized the need for additional equations to aid in thedesign of bevel gears. The equations for geometry factors found in the annex ofANSI/AGMA 2003-B97 require detailed information on the proposed cutting tool before aproper calculation can be performed. In addition, the minimum

11、 top land thickness isrequiredtoaidindeterminingthemaximumcasedepthallowedoncarburizedbevelgears.The equations required for these values were not published in AGMA documentation, butcould be found, for some cases, in the publications listed in the bibliography of thisinformation sheet. AGMA 929-A06

12、expands on those equations to include gearsmanufactured with the face hobbing cutting method.In the case of non-generated gears, the equations in this document may yield differentvaluesforpiniontoplandthicknessesandgeartoothdepthatthetoeandheelthanobtainedon some well known commercial software. The

13、pinion top land thickness is reduced bycurvature added to the pinion, a natural consequence of the non-generated gear memberhavingnoprofilecurvatureontheteeth. Forthegearmember,thenon-generatingprocesscutsarootlinetangenttothegearrootcone,arootlinewhichdoesnotwraparoundtherootconeasinthegeneratedcas

14、e. Thisleavesthetoeandheelendsofthetoothslotsshallowcompared to the generated gear case, and the gear tooth space at the ends of the teethnarrower. Thenon-generatedgearistheimaginarygeneratinggearforthepinion. Sothepinion teeth, which fit in the non-generated gear tooth slots, are thinner at the end

15、s thantheir generated gear counterparts.The cutter edge radii calculated in this document are based on the geometrical conditionspresent and include a manufacturing gauging flat. Individual blade manufacturers havestandardbladeedgeradiiandmanufacturingtolerancesfortheirproductswhichshouldbeconsidere

16、dwhen sourcingnon-standard radii. Itis recommendedto work closely withtheblade supplier to ensure design specifications and sourced product specifications areconsistent.The first draft of AGMA 929-A06 was made in February, 1999. It was approved by theAGMA Technical Division Executive Committee in Au

17、gust, 2006.Suggestionsforimprovementofthisdocumentwillbewelcome. TheyshouldbesenttotheAmericanGearManufacturersAssociation,500MontgomeryStreet,Suite350,Alexandria,Virginia 22314.AGMA 929-A06AMERICAN GEAR MANUFACTURERS ASSOCIATIONv AGMA 2006 - All rights reservedPERSONNEL of the AGMA Bevel Gear Commi

18、tteeChairman: Robert F. Wasilewski Arrow Gear CompanyVice Chairman: George Lian Amarillo Gear Company.ACTIVE MEMBERST. Guertin Liebherr Gear Technology CompanyJ. Kolonko Rexnord Geared ProductsT.J. Krenzer Gleason CorporationP.A. McNamara Caterpillar, IncK. Miller Dana Spicer Off Highway ProductsW.

19、Tsung Dana Corporation.AGMA 929-A06 AMERICAN GEAR MANUFACTURERS ASSOCIATIONvi AGMA 2006 - All rights reserved(This page is intentionally blank)1 AGMA 2006 - All rights reservedAGMA 929-A06AMERICAN GEAR MANUFACTURERS ASSOCIATIONAmerican Gear ManufacturersAssociation -Calculation of BevelGear Top Land

20、 andGuidance on CutterEdge Radius1 ScopeThisinformationsheetprovidesasetofequationsforthe calculation of bevel gear top land and guidanceon cutter edge radius. It integrates the equations inANSI/AGMA 2005-D03, Design Manual for BevelGears, and Gleason publication SD3124B,Formulas for Cutter Specific

21、ations and Tooth Thick-ness Measurements for Spiral Bevel and HypoidGears, with modifications to include face hobbing,and additions for the top land calculations fornon-generated manufacturing methods, to achievecompatibility between publications.Itisintendedtoprovideassistanceincompletingthecalcula

22、tionsrequiringdeterminationoftoplandsandcutter edge radii in ANSI/AGMA 2003-B97, Ratingthe Pitting Resistance and Bending Strength ofGenerated Straight Bevel, Zerol Bevel and SpiralBevel Gear Teeth.Annexes are provided for additional relatedinformation and calculation examples.2 Symbols, terminology

23、 and definitions2.1 Symbols and terminologyTheequationsinthisinformationsheetarewritteninterms generally used for hypoids. See table 1.Forothergears,thenomenclaturefromANSI/AGMA2005-D03, table 9 are used (see table 3).NOTE: Some of the symbols and terminology con-tained in this document may differ f

24、rom those used inother documents and AGMA standards. Users of thisstandard should assure themselves that they areusingthe symbols, terminology and definitions in the mannerindicated herein.Table 1 - Symbols and termsSymbol Term Units Where firstusedAiG, AiPInner cone distance, gear or pinion inch Eq

25、 7, Eq 1AmG, AmPMean cone distance, gear or pinion inch Eq 9, Eq 1AoG,AoPOuter cone distance, gear or pinion inch Eq 7, Eq 3AxGCone distance for involute lengthwise curvature pointwhere normal circular pitch and slot width is a maximuminch Eq 31aG,aPMean addendum, gear or pinion inch Eq 50, Eq 50aiG

26、,aiPInner addendum, gear or pinion inch Eq 78, Eq 77aiG,aiPAdjusted inner addendum, gear or pinion inch Eq 82, Eq 81aoG,aoPOuter addendum, gear or pinion inch Eq 163, Eq 162B Outer normal backlash allowance inch Eq 6bG,bPMean dedendum, gear or pinion inch Eq 19, Eq 22biG,biPInner dedendum, gear or p

27、inion inch Eq 25, Eq 24boG,boPOuter dedendum, gear or pinion inch Eq 20, Eq 22bxG,bxPDedendum at cone distance AxG, gear or pinion inch Eq 44, Eq 45boGTheoretical outer gear dedendum inch Eq 19c Clearance inch Eq 77(continued)AGMA 929-A06 AMERICAN GEAR MANUFACTURERS ASSOCIATION2 AGMA 2006 - All righ

28、ts reservedTable 1 (continued)Symbol Term Units Where firstusedD, d Pitch diameter, gear or pinion inch Eq 140, Eq 139FG,FPFace width of gear or pinion inch Eq 25, Eq 2FiPHypoid pinion face width from calculation point to inside inch Eq 1FoPHypoid pinion face width from calculation point to outside

29、inch Eq 3FxGDistance from mean cone to cone distance at involutecurvatureinch Eq 38kEGear rotation factor - - Eq 52N, n Number of teeth, gear or pinion - - Eq 79, Eq 79pmMean circular pitch inch Eq 27pnMean normal circular pitch inch Eq 27Q Intermediate factor inch Eq 35q Generating angle at mean de

30、grees Eq 9qiGenerating angle at inside degrees Eq 13qoGenerating angle at outside degrees Eq 11qxGenerating angle at involute curvature degrees Eq 39RbNG1,RbNP2Mean normal base radius, convex, gear or pinion inch Eq 143, Eq 142RbNG2,RbNP1Mean normal base radius, concave, gear or pinion inch Eq 144,

31、Eq 141RibVG,RibVPInner base radius - concave, gear or pinion inch Eq 90, Eq 87RibXG,RibXPInner base radius - convex, gear or pinion inch Eq 89, Eq 88RiG,RiPOriginal inner pitch radius, gear or pinion inch Eq 76, Eq 75RioG,RioPInner outside radius, gear or pinion inch Eq 86, Eq 85RNG,RNPMean normal p

32、itch radius, gear or pinion inch Eq 140, Eq 139RoNG,RoNPMean normal outside radius, gear or pinion inch Eq 146, Eq 145RbNG1,RbNP2Outer normal base radius, convex, gear or pinion inch Eq 160, Eq 159RbNG2,RbNP1Outer normal base radius, concave, gear or pinion inch Eq 161, Eq 158RiG,RiPNew inner pitch

33、radius, gear or pinion inch Eq 84, Eq 83RNG,RNPOuter normal pitch radius, gear or pinion inch Eq 157, Eq 156RoNG,RoNPOuter normal outside radius, gear or pinion inch Eq 163, Eq 162RbNG1,RbNP2Inner normal base radius, convex, gear or pinion inch Eq 179, Eq 178RbNG2,RbNP1Inner normal base radius, conc

34、ave, gear or pinion inch Eq 180, Eq 177RNG,RNPInner mean normal pitch radius, gear or pinion inch Eq 176, Eq 175RoNG,RoNPInner normal outside radius, gear or pinion inch Eq 182, Eq 181rcCutter radius inch Eq 9rTG,rTPMaximum blade edge radius, gear or pinion inch Eq 74, Eq 73r1G,r1PMaximum blade edge

35、 radius for no running interference,gear or pinioninch Eq 74, Eq 73r1VG,r1VPMaximum blade edge radius for no running interferenceconcave, gear or pinioninch Eq 106, Eq 103r1XG,r1XPMaximum blade edge radius for no running interferenceconvex, gear or pinioninch Eq 105, Eq 104r2G,r2PMaximum blade edge

36、radius that can be manufactured,gear or pinioninch Eq 74, Eq 73r2RG,r2RPRoughing cutter edge radius, gear or pinion inch Eq 113, Eq 114(continued)AGMA 929-A06AMERICAN GEAR MANUFACTURERS ASSOCIATION3 AGMA 2006 - All rights reservedTable 1 (continued)Symbol Term Units Where firstusedr3G,r3PMaximum bla

37、de edge radius to avoid mutilation, gear orpinioninch Eq 74, Eq 73r3VG,r3VPMaximum blade edge radius to avoid mutilation concave,gear or pinioninch Eq 136, Eq 133r3XG,r3XPMaximum blade edge radius to avoid mutilation convex,gear or pinioninch Eq 135, Eq 134r2RG,r2RPMaximum roughing blade edge radius

38、 which can bemanufactured, gear or pinioninch Eq 111, Eq 112r2VG,r2VPMaximum finishing blade edge radius concave, defined bymaximum roughing blade edge radius and minimum stockallowance, gear or pinioninch Eq 118, Eq 115r2XG,r2XPMaximum finishing blade edge radius convex, defined bymaximum roughing

39、blade edge radius and minimum stockallowance, gear or pinioninch Eq 117, Eq 116r2VG,r2VPMaximum finishing blade edge radius concave, gear orpinioninch Eq 122, Eq 119r2XG,r2XPMaximum finishing blade edge radius convex, gear orpinioninch Eq 121, Eq 120SAG,SAPStock allowance, gear or pinion inch Eq 65,

40、 Eq 66S1Crown gear to cutter center distance inch Eq 34Tmn, tmnMean normal circular thickness at pitch line, gear orpinioninch Eq 47, Eq 48TnGear mean normal circular thickness without backlash inch Eq 47tiNG,tiNPInner normal circular thickness at pitch line, gear or pinion inch Eq 189, Eq 188tLiNG,

41、 tLiNPInner normal top land, gear or pinion inch Eq 192, Eq 190tLNG,tLNPMean normal top land, gear or pinion inch Eq 154, Eq 152tLoNG,tLoNPOuter normal top land, gear or pinion inch Eq 173, Eq 171tmPMean pinion transverse circular thickness inch Eq 49toNG,toNPOuter normal circular thickness at pitch

42、 line, gear orpinioninch Eq 170, Eq 169W Finishing point width gear (Unitool and single sided) inch Table 2WBG,WBPFinishing blade point, gear or pinion inch Eq 69, Eq 70WBRG,WBRPRoughing blade point, gear or pinion inch Eq 67, Eq 68WeEffective gear point width inch Eq 52WiG,WiPInner slot width, gear

43、 or pinion inch Eq 59, Eq 60WLG,WLPMinimum slot width, gear or pinion inch Eq 61, Eq 62WMG,WMPMaximum slot width, gear or pinion inch Eq 63, Eq 64WmG,WmPMean slot width, gear or pinion inch Eq 50, Eq 51WoG,WoPOuter slot width, gear or pinion inch Eq 55, Eq 56WRG,WRPRoughing point width, gear or pini

44、on inch Eq 65, Eq 66WxG,WxPSlot width at AxG(maximum gear or pinion slot) inch Eq 57, Eq 58xiVG,xiVPLimit tooth height for interference concave, gear or pinion inch Eq 102, Eq 97xiXG,xiXPLimit tooth height for interference convex, gear or pinion inch Eq 101, Eq 99y Amount of fillet mutilation permit

45、ted inch Eq 129, Pitch angle, gear or pinion degrees Eq 76, Eq 75RGear root angle degrees Eq 17aG,aPChange in inner addendum, gear or pinion inch Eq 80, Eq 79(continued)AGMA 929-A06 AMERICAN GEAR MANUFACTURERS ASSOCIATION4 AGMA 2006 - All rights reservedTable 1 (continued)Symbol Term Units Where fir

46、stusedbiGDepth reduction on non-generated gear at inside inch Eq 18boGDepth reduction on non-generated gear at outside inch Eq 17bxGDepth reduction on non-generated gear at involutecurvatureinch Eq 42cG,cPChange in clearance, gear or pinion inch Eq 7, Eq 6f Width of blade flat inch Eq 111qiIncrement

47、 in generating angle at inside degrees Eq 16qoIncrement in generating angle at outside degrees Eq 15qxIncrement in generating angle at involute curvature degrees Eq 41WG,WPDifference between minimum slot width and blade point,gear or pinioninch Eq 128, Eq 1272Normal tilt of finishing cutter non-gene

48、rated degrees Eq 8G,PDedendum angle of gear or pinion degrees Eq 19, Eq 22iGenerating angle at inside degrees Eq 14oGenerating angle at outside degrees Eq 12xGenerating angle at involute curvature, for face hobbing degrees Eq 341Second auxiliary angle degrees Eq 10iVG,iVPInner profile radius of curv

49、ature concave, gear or pinion inch Eq 96, Eq 93iXG,iXPInner profile radius of curvature convex, gear or pinion inch Eq 95, Eq 94 Angle between gear root plane and plane in which taper isspecifieddegrees Eq 53b Sum of pinion and gear mean dedendums inch Eq 28biSum of pinion and gear inner dedendums inch Eq 30boSum of pinion and gear outer dedendums inch Eq 29bxSum of pinion and gear dedendums at cone distance AxGinch Eq 46 Includ