AGMA 2011-B14-2014 Cylindrical Wormgearing Tolerance and Inspection Methods.pdf

1、ANSI/AGMA2011-B14 ANSI/AGMA 2011-B14 (Revision of ANSI/AGMA 2011-A98) American National Standard Cylindrical Wormgearing Tolerance and Inspection Methods AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B14 AGMA 2014 All rights reserved ii Cylindrical Wormgearing Tolerance and Inspection Methods ANSI/AGMA

2、2011-B14 Revision of ANSI/AGMA 2011-A98 Approval of an American National Standard requires verification by ANSI that the requirements for due process, consensus and other criteria for approval have been met by the standards developer. Consensus is established when, in the judgment of the ANSI Board

3、of Standards Review, substantial agreement has been reached by directly and materially affected interests. Substantial agreement means much more than a simple majority, but not necessarily unanimity. Consensus requires that all views and objections be considered, and that a concerted effort be made

4、toward their resolution. The use of American National Standards is completely voluntary; their existence does not in any respect preclude anyone, whether he has approved the standards or not, from manufacturing, marketing, purchasing or using products, processes or procedures not conforming to the s

5、tandards. The American National Standards Institute does not develop standards and will in no circumstances give an interpretation of any American National Standard. Moreover, no person shall have the right or authority to issue an interpretation of an American National Standard in the name of the A

6、merican National Standards Institute. Requests for interpretation of this standard should be addressed to the American Gear Manufacturers Association. CAUTION NOTICE: AGMA technical publications are subject to constant improvement, revision or withdrawal as dictated by experience. Any person who ref

7、ers to any AGMA Technical Publication should be sure that the publication is the latest available from the Association on the subject matter. Tables or other self-supporting sections may be referenced. Citations should read: See ANSI/AGMA 2011-B14, Cylindrical Wormgearing Tolerance and Inspection Me

8、thods, published by the American Gear Manufacturers Association, 1001 N. Fairfax Street, Suite 500, Alexandria, Virginia 22314, http:/www.agma.org. Approved October 3, 2014 ABSTRACT This standard describes and defines variations that may occur in unassembled wormgearing. It displays measuring method

9、s and practices, giving suitable warnings if a preferred probe cannot be used. The applicability of single or double flank composite testing is discussed, using a reference gear. Tooth thickness measurement is shown using direct measurement as well as the use of measurements over wires or pins. Equa

10、tions for the maximum variations are given for the stated ranges, as a function of size, pitch and tolerance grade. Published by American Gear Manufacturers Association 1001 N. Fairfax Street, Suite 500, Alexandria, Virginia 22314 Copyright 2014 by American Gear Manufacturers Association All rights

11、reserved. No part of this publication may be reproduced in any form, in an electronic retrieval system or otherwise, without prior written permission of the publisher. Printed in the United States of America ISBN: 978-1-61481-090-2 American National Standard AMERICAN NATIONAL STANDARD ANSI/AGMA 2011

12、-B14 AGMA 2014 All rights reserved iii Contents Foreword . v 1 Scope . 1 1.1 Tolerance equations and tables 1 1.2 Measuring methods and practices 1 1.3 Exceptions . 1 2 Symbols, terms and definitions 1 2.1 Symbols . 1 2.2 Definition of terms . 1 3 Manufacturing and purchasing considerations 5 3.1 Ma

13、nufacturing certification 5 3.2 Process control 6 3.3 Inspection methods . 6 3.4 Additional considerations 6 3.4.1 Backlash allowance . 6 3.4.2 Material furnished by the purchaser 7 3.4.3 Matching gears as sets . 7 3.4.4 Reference gears for composite measurement 7 3.4.5 Contact pattern 7 3.4.6 Repla

14、cement gearing 7 3.5 Acceptance criteria 7 3.6 Evaluation of tolerance grade . 7 4 Measuring methods and practices . 7 4.1 Worm thread radial runout, VrW. 7 4.1.1 Causes of worm thread radial runout, VrW. 8 4.1.2 Alternative method of determining worm thread runout, VrW. 8 4.2 Worm pitch variation,

15、VpW8 4.2.1 Worm pitch variation, VpW- method A (recommended for 2 to 4 threaded worms only) 8 4.2.2 Worm pitch variation, VpW- method B (recommended for 2 to 20 threaded worms) 9 4.2.3 Causes of worm pitch variations, VpW. 10 4.2.4 Worm accumulative pitch variation, VapW10 4.3 Worm profile variation

16、, VW10 4.4 Worm lead variation, VlW. 12 4.5 Worm lead form variation, VlfW12 4.6 Wormgear tooth runout, VrG12 4.6.1 Form of axial runout 12 4.6.2 Form of radial runout . 12 4.6.3 Runout measuring methods 13 4.6.4 Cause of wormgear tooth runout, VrG13 4.6.5 Alternative methods of determining wormgear

17、 tooth runout, VrG13 4.7 Wormgear pitch variation, VpG, and accumulated pitch variation (total index variation), VapG. 13 4.7.1 Spacing . 13 4.7.2 Reference axis 14 4.7.3 Reference axial surfaces . 14 4.7.4 Reference identification of tooth data . 14 4.7.5 Location of probe or probes 14 4.7.6 Number

18、 of measurements . 14 4.7.7 Basic devices for wormgear pitch and accumulated pitch variation measurement 15 4.7.8 Use and interpretation of the two probe device 15 4.7.9 Use and interpretation of the single probe device . 16 4.7.10 Total accumulated pitch variation within a sector of k pitches, Vapk

19、G(total index variation within a sector of k pitches) 17 4.7.11 Causes of wormgear pitch variation, VpG17 AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B14 AGMA 2014 All rights reserved iv 4.8 Wormgear profile variation, VG. 18 4.9 Master worms 18 4.10 Double flank composite . 18 4.10.1 Applicability of

20、 double flank composite inspections 18 4.10.2 Double flank testing procedures 19 4.11 Single flank composite 19 4.11.1 Applicability of single flank composite inspections 19 4.11.2 Single flank testing procedures . 19 4.12 Worm thread thickness measurement 20 4.12.1 Gear tooth caliper 20 4.12.2 Meas

21、uring over pins 21 5 Equations for worm and wormgear tolerances 22 5.1 Worm runout tolerance 22 5.2 Worm profile variation tolerance . 22 5.3 Worm pitch variation tolerance 22 5.4 Worm total accumulated pitch variation tolerance 23 5.5 Worm lead variation tolerance 23 5.6 Worm lead form tolerance .

22、23 5.7 Gear runout tolerance . 23 5.8 Gear pitch variation tolerance . 23 5.9 Gear total accumulated pitch tolerance 23 Annexes Annex A (informative) Inspection tolerance tables . 24 Annex B Bibliography 45 Tables Table 1 - Symbols used 2 Figures Figure 1 - Functional part of the profile - cutoff po

23、ints, drop-off region . 4 Figure 2 - Lead and lead form variation 4 Figure 3 - Worm thread runout inspection, VrW. 8 Figure 4 - Worm pitch variation inspection, VpW- method A . 9 Figure 5 - Worm pitch variation inspection, VpW- method B . 10 Figure 6 - Worm thread profile inspection, VW. 11 Figure 7

24、 - Worm thread profile tolerance band, VTW11 Figure 8 - Worm thread lead inspection, VlW. 12 Figure 9 - Wormgear tooth runout, VrG13 Figure 10 - Location of probe - wormgear pitch variation, VpG14 Figure 11 - Two probe device . 15 Figure 12 - Schematic of single probe device . 15 Figure 13 - Relatio

25、nships of pitch variation, VpG, and accumulated pitch variation, VapG16 Figure 14 - Pitch variation, VpG, graphical data from two probe device 17 Figure 15 - Pitch variation VpG, and accumulated pitch variation, VapG: graphical data from single probe device 17 Figure 16 - Schematic of a double flank

26、 wormgear tester 18 Figure 17 - Schematic of a single flank wormgear tester 19 Figure 18 - Thread thickness measurement by means of a gear tooth caliper 20 Figure 19 - Thread thickness measurement over pins . 20 AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B14 AGMA 2014 All rights reserved v Foreword T

27、he foreword, footnotes and annexes, if any, in this document are provided for informational purposes only and are not to be construed as a part of ANSI/AGMA 2011-B14, Cylindrical Wormgearing Tolerance and Inspection Methods. The purpose of this standard is to establish geometrical accuracy communica

28、tion between a manufacturer and purchaser of unassembled cylindrical wormgearing with axes at right angles. AGMA 390.02 September 1964 was a replacement for AGMA 234.01 for fine pitch wormgearing. ANSI/AGMA 2000-A88 is a partial revision of AGMA 390.03, but does not cover wormgearing. AGMA 390.03a o

29、f 1988 still only covered fine pitch wormgearing. ANSI/AGMA 2011-A98 then is a replacement for AGMA 390.03a for fine pitch wormgearing. In addition, it also covers coarse pitch wormgearing. The Cylindrical Wormgearing Committee began working on ANSI/AGMA 2011-A98 in August, 1993. At that time, it wa

30、s determined the International Standards Organizations (ISO) method for tolerance grades would be used in this standard. ANSI/AGMA 2011-A98 was approved by the AGMA membership in June, 1998 and approved as an American National standard on October 1, 1998. The new ANSI/AGMA 2011-B14 was required to c

31、orrect a typographical error found in equation 18 of ANSI/AGMA 2011-A98. The metric edition of the standard was not affected. The first draft of ANSI/AGMA 2011-B14 was created in May 2013. It was approved by the membership in June 2014 and as an American National Standard on October 3, 2014. Suggest

32、ions for improvement of this standard will be welcome. They may be submitted to techagma.org. AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B14 AGMA 2014 All rights reserved vi PERSONNEL of the Wormgearing Committee Chairman: Martin Peculis Cleveland Gear Company Vice Chairman: David Payne Baldor Electr

33、ic Company (Clarksville) ACTIVE MEMBERS E. Ayers Boston Gear R.G. Estell The Estell Group R. Holdsworth . Peerless-Winsmith, Inc. T.G. Scott . David Brown Gear Systems Limited P. Wagaj . Gleason Metrology Systems Corporation AGMA 2014 All rights reserved 1 AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B

34、14 American National Standard - Cylindrical Wormgearing Tolerance and Inspection Methods 1 Scope This standard establishes a classification system which may be used to communicate geometrical accuracy specifications of unassembled cylindrical wormgearing with axes at right angles. It also provides i

35、nformation on measuring methods and practices. This standard provides the gear manufacturer and the gear purchaser with a mutually advantageous reference for uniform tolerances and inspection procedures. Tolerance grades 3 through 12 are defined in this standard and are based on the relative effect

36、of geometrical errors on conjugate action for wormgear sets acting as speed reducers. 1.1 Tolerance equations and tables Tolerance equations are provided in clause 5 for calculating the maximum values allowed by the specific tolerance grade. Tables are provided in annex A for reference. 1.2 Measurin

37、g methods and practices Measuring methods and practices are included in order to promote uniform inspection procedures (see clause 4). These methods permit the manufacturer and purchaser to conduct measuring procedures which are accurate and repeatable to a degree compatible with the specified toler

38、ance grade. 1.3 Exceptions This standard applies to individual worm and gear components. It does not establish a tolerance grade for enclosed drive assemblies. Establishing ratings based on tolerance grade is beyond the scope of this standard. Gear design and backlash are also beyond the scope of th

39、is standard. Refer to the latest AGMA Publications Catalog for applicable standards. This standard does not apply to worms with mean diameters larger than 16 inches, nor does it apply to wormgears with mean diameters larger than 100 inches. This standard does not apply to geometry finer than 0.063 a

40、xial pitch. This standard does not apply to spiral gears or any type other than cylindrical single enveloping wormgearing. 2 Symbols, terms and definitions The symbols, terms and definitions used in this standard are, wherever possible, consistent with ANSI/AGMA 1012-G05 and other approved AGMA docu

41、ments. 2.1 Symbols Table 1 is a list of the symbols used in this standard, along with the associated terms. The “Where first used” column gives the clause or equation number where the particular symbol is first used. 2.2 Definition of terms axial plane: The axial plane is the plane containing the li

42、ne of axis of the worm. Diameters may be measured in this plane but thread surfaces would require a theoretical knife edge measurement. These measurements may be obtained by indirect means using normal plane measurements. The probe measurement in Method “A” will give a direct axial measurement, howe

43、ver, since the normal to probe center is repeated at each point. AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B14 AGMA 2014 All rights reserved 2 Table 1 - Symbols used Symbol Description Units Where first used B Axial backlash in the worm in Eq 3 DmMean diameter of gear in Figure 10 d Worm pitch diame

44、ter in Eq 2 dmMean diameter of worm in Eq 13 dpinBest pin diameter in 4.12.2 d3d - d, undersize pitch diameter of worm with backlash in Eq 1 F Distance from worm center to pin center in Eq 6 G Available pin diameter in 4.12.2 L Thread lead in Eq 5 M Diameter over best pins in Eq 6 MAActual over pin

45、measurement in 4.12.2 M3Dimension over pins unequal to theoretical pins in Eq 9 NGNumber of gear teeth - - Eq 19 NWNumber of worm threads - - 4.2.2 pmTrue position pitch 0.0001 in 4.7.8.1 ptTransverse circular pitch of wormgear in Eq 19 pxAxial pitch of worm in Eq 13 VapTotal accumulated pitch varia

46、tion 0.0001 in 2.2 VapGWormgear accumulated pitch variation (total index variation) 0.0001 in 4.7 VapkGWormgear total accumulated pitch variation within a sector of kpitches 0.0001 in 4.7.10 VapTTotal accumulated pitch variation tolerance 0.0001 in 2.2 VapTGWormgear total accumulated pitch variation

47、 tolerance 0.0001 in Eq 21 VapTWWorm total accumulated pitch variation tolerance 0.0001 in Eq 16 VapWAccumulated worm pitch variation 0.0001 in 4.2.4 VlLead variation 0.0001 in 2.2 VlfLead form variation 0.0001 in 2.2 VlfTLead form tolerance 0.0001 in 2.2 VlfTWWorm lead form tolerance 0.0001 in 4.5

48、VlfWWorm lead form variation 0.0001 in 4.5 VlTLead tolerance 0.0001 in 2.2 VlTWWorm lead variation tolerance 0.0001 in 4.4 VlWWorm lead variation 0.0001 in 4.4 VpPitch variation 0.0001 in 2.2 VpGWormgear pitch variation 0.0001 in 4.7 VpTPitch variation tolerance 0.0001 in 2.2 VpTGWormgear pitch vari

49、ation tolerance 0.0001 in Eq 20 VpTWWorm pitch variation tolerance 0.0001 in 4.2.1 VpWWorm pitch variation 0.0001 in 4.2 VrRunout 0.0001 in 2.2 VrGWormgear tooth runout 0.0001 in 4.6 AMERICAN NATIONAL STANDARD ANSI/AGMA 2011-B14 AGMA 2014 All rights reserved 3 Symbol Description UnitsWhere first used VrTRunout tolerance 0.0001 in 2.2 VrTGWormgear runout tolerance 0.0001 in Eq 19 VrTWWorm runout tolerance 0.0001 in Eq 13 VrWWorm thread radial runout 0.0001 in 4.1 VsGWormgear spacing variation 0.0001 in Figure 13 VtThread thickness variation 0.0001 in 2.2