BS 436-5-1997 Spur and helical gears - Definitions and allowable values of deviations relevant to radial composite deviations and runout information《齿轮和螺旋齿轮 第5部分 齿轮齿根啮合面偏差容许值和定义》.pdf

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1、BRITISH STANDARD BS436-5:1997 ISO1328-2: 1997 Cylindrical gears ISOsystem of accuracy Part5: Definitions and allowable values of deviations relevant to radial composite deviations and runout information ICS21.200BS436-5:1997 This BritishStandard, having been prepared under the directionof the Engine

2、ering SectorBoard, was published underthe authority of the Standards Board and comes intoeffect on 15October1997 BSI03-2000 ISBN 0 580 28751 3 National foreword This BritishStandard reproduces verbatim ISO1328-2:1997 and implements it as the UK national standard. The UK participation in its preparat

3、ion was entrusted by Technical Committee MCE/5, Gears, to Subcommittee MCE/5/6, Calculation of gears, which has the responsibility to: aid enquirers to understand the text; present to the responsible international/European committee any enquiries on the interpretation, or proposals for change, and k

4、eep the UK interests informed; monitor related international and European developments and promulgate them in the UK. A list of organizations represented on this subcommittee can be obtained on request to its secretary. Cross-references The BritishStandards which implement international or European

5、publications referred to in this document may be found in the BSI Standards Catalogue under the section entitled “International Standards Correspondence Index”, or by using the “Find” facility of the BSI Standards Electronic Catalogue. A British Standard does not purport to include all the necessary

6、 provisions of a contract. Users of British Standards are responsible for their correct application. Compliance with a British Standard does not of itself confer immunity from legal obligations. Summary of pages This document comprises a front cover, an inside front cover, pagesi andii, theISO title

7、 page, pagesiitoiv, pages1 to10 and a back cover. This standard has been updated (see copyright date) and may have had amendments incorporated. This will be indicated in the amendment table on the inside front cover. Amendments issued since publication Amd. No. Date CommentsBS436-5:1997 BSI 03-2000

8、i Contents Page National foreword Inside front cover Foreword iii Text of ISO1328-2 1ii blankBS 436-5:1997 ii BSI 03-2000 Contents Page Foreword iii Introduction 1 1 Scope 1 2 Normative references 1 3 Definitions 1 4 Symbols, quantities and units 1 5 Gear tooth accuracy terms relevant to radial comp

9、osite deviations 1 6 Structure of the gear accuracy system 2 7 Formulae for grade5 accuracy tolerances for radial composite deviations 3 Annex A (informative) Tables of allowable values of radial composite deviations 4 Annex B (informative) Allowable values of runout with tolerance tables 7 Annex C

10、(informative) Bibliography 10 Figure 1 Radial composite deviation diagram 2 Figure B.1 Runout diagram of a gear with16 teeth 7 Table 1 Symbols used within ISO1328-2 1 Table A.1 Total radial composite tolerance, F i 5 Table A.2 Tooth-to-tooth radial composite tolerance, f i 6 Table B.1 Runout toleran

11、ce, F r 8 Descriptors: Gears, cylindrical gears, accuracy, tolerances of position, run-out tolerances, definitions.BS 436-5:1997 BSI 03-2000 iii Foreword ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of p

12、reparing International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been established has the right to be represented on that committee. International organizations, governmental and non-governmental,

13、in liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization. Draft International Standards adopted by the technical committees are circulated to the member bodies for voting. Pub

14、lication as an International Standard requires approval by at least75% of the member bodies casting a vote. International Standard ISO1328-2 was prepared by Technical Committee ISO/TC60, Gears. ISO1328 consists of the following parts, under the general title Cylindrical gears ISO system of accuracy:

15、 Part1: Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth; Part2: Definitions and allowable values of deviations relevant to radial composite deviations and runout information. Annex A, Annex B and Annex C of this part of ISO1328 are for information only.i

16、v blankBS 436-5:1997 BSI 03-2000 1 Introduction Together with definitions and allowable values of gear element deviations, ISO1328:1975 also provided advice on appropriate inspection methods. In the course of revising ISO1328:1975 and taking into account several important aspects, it was agreed that

17、 the description and advice on gear inspection methods would be published separately, and that, together with parts1 and2 of ISO1328, a system of standards and technical reports (listed in clause2 and Annex C) should be established. 1 Scope This part of ISO1328 establishes a system of accuracy relev

18、ant to radial composite deviations of individual cylindrical involute gears. It specifies the appropriate definitions of gear tooth accuracy terms, the structure of the gear accuracy system and the allowable values of the above mentioned deviations. The radial measurement accuracy system has differe

19、nt grade ranges than elemental ranges in ISO1328-1. The diameter and module ranges for radial composite deviations and runout are also different. The radial composite accuracy system comprises9 accuracy grades for F i or f i of which grade4 is the highest and grade12 is the lowest. The module range

20、extends from0,2mm to10mm and the diameter range from5,0mm to1000mm, seeclauses6 and 7. Annex A gives tables based on the formulae in clause7. Runout is defined in Annex B and values are not given in the standard for determining accuracy grade5. Annex B provides information on runout for use if agree

21、d upon between purchaser and manufacturer. 2 Normative references The following standards contain provisions which, through reference in this text, constitute provisions, of this International Standard. At the time of publication, the editions indicated were valid. All standards are subject to revis

22、ion, and parties to agreements based on this International Standard are encouraged to investigate the possibility of applying the most recent editions of the standards indicated below. Members of IEC and ISO maintain registers of currently valid International Standards. ISO701:1976, International ge

23、ar notation Symbols for geometrical data. ISO1122-1:1983, Glossary of gear terms Part1:Geometrical definitions. ISO1328-1:1995, Cylindrical gears ISO System of accuracy Part1: Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth. ISO/TR 10064-2:1996, Cylindri

24、cal gears Code of inspection practice Part2: Inspection related to radial composite deviations, runout, tooth thickness and backlash. 3 Definitions For the purposes of this part of ISO1328, the definitions given in ISO1122-1 apply. 4 Symbols, quantities and units Symbols are based on those given in

25、ISO701. Only symbols for quantities used in this part of ISO1328 are given in Table 1. Table 1 Symbols used within ISO1328-2 5 Gear tooth accuracy terms relevant to radial composite deviations 5.1 Product gear The “product gear” is the gear which is being measured or evaluated. 5.2 Radial composite

26、deviations Measured values of radial composite deviations are affected by the accuracy of the master gear and the total contact ratio of the product gear with the master gear (refer to ISO/TR10064-2). 5.3 Total radial composite deviation, F i Total radial composite deviation is the difference betwee

27、n the maximum and minimum values of centre distance which occur during a radial (double-flank) composite test, when the product gear with its right and left flank simultaneously in contact with those of the master gear, is turned through one complete revolution. Figure 1 shows an example of a releva

28、nt diagram. Symbol Quantity Unit d reference diameter mm m n normal module mm “ overlap ratio f i tooth-to-tooth radial composite deviation 4m F i total radial composite deviation 4m L AE active length mm Q accuracy grade number z number of teeth F r runout 4mBS 436-5:1997 2 BSI 03-2000 5.4 Tooth-to

29、-tooth radial composite deviation,f l Tooth-to-tooth radial composite deviation is the value of the radial composite deviation corresponding to one pitch,360 /z, during the complete cycle of engagement of all the product gear teeth. The maximum value f l of all the product gear teeth should not exce

30、ed the specified allowable value (seeFigure 1). 5.5 Master gear The master gear for a radial composite test should engage the product gear over the “active length”, L AE , as defined in ISO1328-1. The tolerances have been established for spur gears and can be used to determine an accuracy grade. Sin

31、ce the overlap ratio, “ , may influence the results of radial composite measurements of helical gears, the master gear used shall be subject to agreement between purchaser and manufacturer. When used for helical gears, the master gear facewidth should be such that “is less than or equal to0,5 with t

32、he product gear. 6 Structure of the gear accuracy system Determination of the accuracy grade by measurement of radial composite deviations in accordance with this part of ISO1328 does not imply that the elemental deviations (e.g.pitch, profile, lead,etc. from ISO1328-1) will conform to the same grad

33、e. Statements in documents concerning required accuracy shall include reference to the relevant standard, ISO1328-1 or ISO1328-2, as appropriate. The tolerances for radial composite deviation apply only to the inspection of a gear running with a master gear. They do not apply to the measurement of t

34、wo product gears running together. 6.1 Gear accuracy Gear accuracy is evaluated by comparing measured deviations against the numerical values determined according to clause7. The values calculated using the formulae apply to accuracy grade5. The step factor between two consecutive grades is equal to

35、i.e.,values of each next higher (lower) grade are determined by multiplying (dividing) by Therequired value for any accuracy grade can be determined by multiplying the un-rounded calculated value for accuracy grade5 by2 to exponent 0,5 (Q 5), where Q is the accuracy grade of the required value. When

36、 gear geometry is not within the specified ranges of clause1, use of the formulae shall be agreed upon between purchaser and manufacturer. 6.2 Validity of radial composite deviation When tolerance values are small, particularly when less than54m, the measuring apparatus including the master gear sha

37、ll be of sufficiently high precision as to ensure that values can be measured and repeated with the required accuracy. The tolerances have been established for spur gears and can be used to determine an accuracy grade. However, subject to agreement between purchaser and manufacturer they can similar

38、ly be used for helical gears. Seealso5.5. Figure 1 Radial composite deviation diagram 2; 2.BS 436-5:1997 BSI 03-2000 3 7 Formulae for grade5 accuracy tolerances for radial composite deviations Use the actual values of module and diameter in the following formulae. a) Total radial composite deviation

39、, F l F i =3,2m n +1,01+6,4 b) Tooth-to-tooth radial composite deviation, f i F i =2,96m n +0,01+0,8 The formulae with the system of accuracy presented in clause6 are used if no other agreement is specified. The values for the tables in Annex A were determined using the relevant mean values as state

40、d inA.2. The tables of tolerances should only be used with agreement between purchaser and manufacturer. d dBS 436-5:1997 4 BSI 03-2000 Annex A (informative) Tables of allowable values of radial composite deviations A.1 Purpose This annex gives a method for applying the formulae of clause7 and subcl

41、ause6.1 to develop tables of tolerances: F i =(F r + f i )(2 0,5(Q5) )=(3,2m n +1,01+6,4)(2 0,5(Q5) ) A.2 Ranges of parameters The recommended lower and upper range limits for applying the formulae to tables are: a) for the reference diameter, d composite:5/20/50/125/280/560/1000mm b) for the normal

42、 module, m n composite:0,2/0,5/0,8/1,0/1,5/2,5/4/6/10mm When applying the formulae of clause7 for tables of tolerances, the parameters m nand d can be introduced as the geometrical mean values of the relevant range limits. If the actual module is7, for example, the range limits are normally m n =6 a

43、nd m n =10 and the table value calculated with A.3 Rounding rules The tolerance values are rounded versions of values calculated using the formulae in clause7 and subclause6.1. If values are greater than104m, they are rounded to the nearest integer. If less than104m, they are rounded to the nearest0

44、,54m value or integer. A.4 Validity When procurement documents state the required gear accuracy grade with reference to ISO1328-2, but without other indication, that accuracy grade applies only to deviations of all elements according to clauses6 and7. However, by agreement, different tolerance limit

45、s may be specified using tables for any quantity. A.5 Tables of radial deviation tolerances The tabulated values in this annex are based on values calculated using the formulae in clause7 with the criteria ofA.2 andA.3. Total radial composite tolerance values are shown in Table A.1 and tooth-to-toot

46、h radial composite tolerance values in Table A.2. d m n 610 ()7,746. =BS 436-5:1997 BSI 03-2000 5 Table A.1 Total radial composite tolerance, F i Reference diameter d mm Normal module m n mm Accuracy grade 4 5 6 7 8 9 10 11 12 F i 4m 0,2k m n k 0,5 7,5 11 15 21 30 42 60 85 120 0,5m n k 0,8 8,0 12 16

47、 23 33 46 66 93 131 5k dk 20 0,8m n k 1,0 9,0 12 18 25 35 50 70 100 141 1,0m n k 1,5 10 14 19 27 38 54 76 108 153 1,5m n k 2,5 11 16 22 32 45 63 89 126 179 2,5m n k 4,0 14 20 28 39 56 79 112 158 223 0,2k m n k 0,5 9,0 13 19 26 37 52 74 105 148 0,5m n k 0,8 10 14 20 28 40 56 80 113 160 0,8m n k 1,0 1

48、1 15 21 30 42 60 85 120 169 20 dk 50 1,0m n k 1,5 11 16 23 32 45 64 91 128 181 1,5m n k 2,5 13 18 26 37 52 73 103 146 207 2,5m n k 4,0 16 22 31 44 63 89 126 178 251 4,0m n k 6,0 20 28 39 56 79 111 157 222 314 6,0m n k 10 26 37 52 74 104 147 209 295 417 0,2k m n k 0,5 12 16 23 33 46 66 93 131 185 0,5

49、m n k 0,8 12 17 25 35 49 70 98 139 197 0,8m n k 1,0 13 18 26 36 52 73 103 146 206 1,0m n k 1,5 14 19 27 39 55 77 109 154 218 50 dk 125 1,5m n k 2,5 15 22 31 43 61 86 122 173 244 2,5m n k 4,0 18 25 36 51 72 102 144 204 288 4,0m n k 6,0 22 31 44 62 88 124 176 248 351 6,0m n k 10 28 40 57 80 114 161 227 321 454 0,2k m n k 0,5 15 21 30 42 60 85 120 170 240 0,5m n k 0,8 16 22 31 44 63 89 126 178 252 0,8m n k 1,0 16 23 33 46 65 92 131 185 261 125 dk 280 1,0m n k 1,5 17 24 34 48 68 97 137

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