DIN 32711-1-2009 Shaft to collar connection - Polygon profil P3G - Part 1 Generalities and geometry《轴环连接 多边形轮廓P3G 第1部分 一般性和几何性》.pdf

1、March 2009 Translation by DIN-Sprachendienst.English price group 7No part of this translation may be reproduced without prior permission ofDIN Deutsches Institut fr Normung e. V., Berlin. Beuth Verlag GmbH, 10772 Berlin, Germany,has the exclusive right of sale for German Standards (DIN-Normen).ICS 2

2、1.120.10!$Z)“1550661www.din.deDDIN 32711-1Shaft-to-hub connection P3G polygon profile Part 1: General information and geometryEnglish translation of DIN 32711-1:2009-03Welle-Nabe-Verbindung Polygonprofil P3G Teil 1: Allgemeines und GeometrieEnglische bersetzung von DIN 32711-1:2009-03Liaison arbre m

3、oyeu Polygon profil P3G Partie 1: Gnralits et gomtrieTraduction anglaise de DIN 32711-1:2009-03Together with DIN32711-2:2009-03,supersedesDIN 32711:1979-03www.beuth.deDocument comprises pagesIn case of doubt, the German-language original shall be considered authoritative.1007.11 DIN 32711-1:2009-03

4、A comma is used as the decimal marker. Contents Page Foreword3 1 Scope 4 2 Normative references 4 3 Characteristics of P3G polygon connections.4 4 Geometry definitions.4 5 Designation 6 6 Tolerance definitions.6 7 Production 9 8 Inspection method.9 Bibliography 10 Figures Figure 1 “A” P3G polygon sh

5、aft profile 5 Figure 2 “B” P3G polygon hub profile 6 Figure 3 Effect of the eccentric e on the shape of the profile 7 Figure 4 Example of set-up for measuring polygon shafts 9 Tables Table 1 Nominal sizes 8 2 DIN 32711-1:2009-03 Foreword This standard has been prepared by Working Committee NA 060-34

6、-32 AA of Section Antriebstechnik of the Normenausschuss Maschinenbau (Mechanical Engineering Standards Committee). The polygon shaft-hub connections serve to transmit torques between machine components. They are suitable for permanent and/or repeatedly detachable connections, as well as for interfe

7、rence fits. The original version of this standard, DIN 32711, was published in March 1979. As this was before the rapid spread of NC machining technology, the standard was based on the kinematics of a mechanically-controlled polygon grinding machine made by a German manufacturer. This meant that it

8、was not absolutely necessary to include the equation in the standard. Now that it is possible to produce polygon-profile shafts and hubs on a variety of CNC machine tools, this omission has become apparent and therefore the standard has been revised. The present standard is a revised version of the

9、1979 edition of DIN 32711. It takes into account technological progress made since then, particularly developments in the field of NC machining. For this reason, the fundamental mathematical principles of polygon profiles required for writing NC programs have now been added to the standard. In the p

10、rocess of revising the standard for P3G polygon profiles, it was subdivided into two parts. Part 1 contains information on the profile geometry, in particular the equations required for NC-supported production processes. Part 2 contains data which designers require to calculate the dimensions of pol

11、ygon joints. The classical calculation model described here should be replaced in due course by other formulae corresponding to the respective state of engineering practice. Great importance has been placed on ensuring the interchangeability of the parts manufactured in accordance with the standard.

12、 This standard comprises the following parts: Part 1: General information and geometry Part 2: Calculation of mechanical properties and dimensions Amendments This standard differs from DIN 32711:1979-03 as follows: a) the mathematical definition of the profile curve has been added; b) Figures 3 and

13、4 have been added; c) the standard has been divided into two parts; d) nominal sizes have been extended to 180 mm; e) editorial revisions have been made. Previous editions DIN 32711: 1979-03 3 DIN 32711-1:2009-03 1 Scope This standard specifies the dimensions and geometry definitions of P3G polygon

14、connections. The scope of this standard extends to industrial products, e.g. those used in general engineering, and in machine tool, motor vehicle and aircraft construction, as well as in the electronics industry. 2 Normative references The following referenced documents are indispensable for the ap

15、plication of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the document (including any amendments) applies. DIN 32711-2, Shaft-to-hub connection P3G polygon profile Part 2: Calculation of mechanical properties and dimensions DIN IS

16、O 286-1, ISO system of limits and fits Bases of tolerances, deviations and fits DIN ISO 286-2, ISO system of limits and fits Tables of standard tolerance grades and limit deviations for holes and shafts 3 Characteristics of P3G polygon connections The P3G polygon profile is a uniform-thickness profi

17、le (G in the designation is the abbreviation for the German word “Gleich”, meaning equal or uniform). It represents a special form of the trochoid and has the following characteristic features: the P3G polygon profile is a harmonic curve; it leads to low notch effects or no notch effect at all; high

18、er torques can be transmitted than by other shape-interlocking shaft-hub connections; self-centring of hub and shaft when torque is applied; cost-effective manufacturing when the polygon profile and sections with circular cross-sections of one and the same part can be machined without having to re-c

19、lamp the workpiece; no room for tool movement or withdrawal is required, i.e. the polygon profile may follow directly after a shaft collar; the P3G profiles are not suitable for connections that need to permit longitudinal movement while transmitting a torque. 4 Geometry definitions A polygon curve

20、is described by the following equations: in parameter form in Cartesian coordinates ()() ( ) ( ) sin3sin3cos3cos = eeRx )( ()( )()( ) cos3sin3sin3cos += eeRy )( 4 mmDIN 32711-1:2009-03 in polar coordinates ()()223sin33cos += eeRr )( ()()+=3cos3sin3arctaneRe)( Where (see Figure 1) and (see Figure 2).

21、 2/m 1dR = 2/4mdR =The parameter angle achieves all values from 0 to 360. This angle is not a physical angle and shall not be confused with the angle coordinate of a polar coordinate system. Figure 1 “A” P3G polygon shaft profile 5 mmDIN 32711-1:2009-03 Figure 2 “B” P3G polygon hub profile 5 Designa

22、tion Designation of an “A” P3G polygon shaft profile, nominal size 40, with tolerance zone g6 for d1: Polygon profile DIN 32711 A P3G 40 g6 (Figure 1) Designation of a “B” P3G polygon hub profile, nominal size 40, with tolerance zone H7 for d4: Polygon profile DIN 32711 B P3G 40 H7 (Figure 2) To sho

23、w P3G profiles in drawings, it is sufficient to draw a simplified contour comprising arcs of circles instead of depicting the true trochoid curve: 1115,62/ edr += or and: or 2415,62/ edr +=1125,62/ edr =2425,62/ edr = )16(8,0247edd =The centres of the circles defining the arcs are located at 120 spa

24、cings on a circle of radius 5,5 e1 or 5,5 e2, respectively. IMPORTANT NOTE These are approximation equations which are intended solely for depicting the curves in drawings. This simplified form shall not be used for manufacturing P3G parts, e.g. on a CNC machine tool. The equations given in the clau

25、se “Geometry definitions” shall be used for the latter purpose. 6 Tolerance definitions Dimensional tolerances The dimensional tolerances (see Table 1) relate to the diameters d1(shafts) and d4(hubs). The standard ISO tolerances as defined in DIN ISO 286 for circular cross-sections shall be applied.

26、 6 DIN 32711-1:2009-03 Shape tolerances The shape of the polygon profile is determined by the eccentric e, or by the ratio e/d1, (e/d4) (see Figure 3). This means that shape tolerances can be expressed in relation to e and standard ISO tolerances can be applied. Larger e/d1(e/d4) ratios produce “mor

27、e pointed” profiles, smaller e/d1(e/d4) ratios produce “rounder” profiles. The tolerance zones js4 and Js4 given for e determine the tolerance zone covering all profile shapes of the corresponding eccentric tolerance, as well as all surface irregularities. This definition ensures full compatibility

28、with the previous version of the standard, DIN 32711:1979-03. Figure 3 Effect of the eccentric e on the shape of the profile 7 DIN 32711-1:2009-03 Table 1 Nominal sizes Dimensions in millimetres Shaft Hub Nominal size d1d2d3e1d4d5d6Pre- liminary hole for d6Grinding wheel diameter d7e2r1r2Tolerance z

29、one g6 k6 js4 H7 H8 max. 14 14 14,88 13,12 0,44 14 14,88 13,12 12,9 5 0,44 9,86 4,14 16 16 17 15 0,5 16 17 15 14,8 0,5 11,25 4,75 18 18 19,12 16,88 0,56 18 19,12 16,88 16,6 0,56 12,64 5,36 20 20 21,26 18,74 0,63 20 21,26 18,74 18,3 6,3 0,63 14,1 5,9 22 22 23,4 20,6 0,7 22 23,4 20,6 20,3 0,7 15,55 6,

30、45 25 25 26,6 23,4 0,8 25 26,6 23,4 23 8 0,8 17,7 7,3 28 28 29,8 26,2 0,9 28 29,8 26,2 25,8 0,9 19,85 8,15 30 30 32 28 1 30 32 28 27,6 1 21,5 8,5 32 32 34,24 29,76 1,12 32 34,24 29,76 29,4 1,12 23,28 8,72 35 35 37,5 32,5 1,25 35 37,5 32,5 32,1 10 1,25 25,63 9,37 40 40 42,8 37,2 1,4 40 42,8 37,2 36,8

31、 1,4 29,1 10,9 45 45 48,2 41,8 1,6 45 48,2 41,8 41,4 13 1,6 32,9 12,1 50 50 53,6 46,4 1,8 50 53,6 46,4 46 1,8 36,7 13,3 55 55 59 51 2 55 59 51 50,5 2 40,5 14,5 60 60 64,5 55,5 2,25 60 64,5 55,5 55 16 2,25 44,63 15,37 65 65 69,9 60,1 2,45 65 69,9 60,1 59,6 2,45 48,43 16,57 70 70 75,6 64,4 2,8 70 75,6

32、 64,4 63,9 2,8 53,2 16,8 75 75 81,3 68,7 3,15 75 81,3 68,7 68,2 3,15 57,98 17,02 80 80 86,7 73,3 3,35 80 86,7 73,3 72,8 3,35 61,78 18,22 85 85 92,1 77,9 3,55 85 92,1 77,9 77,4 3,55 65,58 19,42 90 90 98 82 4 90 98 82 81,5 4 71 19 95 95 103,5 86,5 4,25 95 103,5 86,5 86 4,25 75,13 19,87 100 100 109 91

33、4,5 100 109 91 90,5 20 4,5 79,25 20,75 110 110 119,9 100,1 4,95 110 119,9 100,1 99,6 4,95 87,18 22,83 120 120 130,8 109,2 5,4 120 130,8 109,2 108,7 5,4 95,1 24,9 130 130 141,7 118,3 5,85 130 141,7 118,3 117,8 25 5,85 103,03 26,98 140 140 152,6 127,4 6,3 140 152,6 127,4 126,9 6,3 110,95 29,05 150 150

34、 163,5 136,5 6,75 150 163,5 136,5 136 6,75 118,88 31,13 160 160 174,4 145,6 7,2 160 174,4 145,6 145,1 7,2 126,8 33,2 170 170 185,3 154,7 7,65 170 185,3 154,7 154,2 7,65 134,73 35,28 180 180 196 164 8 180 196 164 163,5 30 8 142 38 8 DIN 32711-1:2009-03 7 Production The previous version of standard DI

35、N 32711, published in 1979, was based on processes using a mechanically-controlled, polygon grinding machine made by a German manufacturer, which was commercially available at the time. Today, several NC machining methods are available, for instance CNC eccentric grinding, CNC milling etc. In additi

36、on, broaching and material removal (erosion) processes can be used to machine hub profiles. The equations stated in this new version of the standard describe the profile shape in terms of the cross-section produced by a kinematically-controlled polygon grinding machine, thus ensuring full compatibil

37、ity. 8 Inspection method The diameter d1of P3G shafts can be checked using commercially available industrial measuring devices having two points or two edges. The eccentric e (or 2 e) should preferably be checked using length feeler gauges (dial gauges or comparable instruments) and rotating the wor

38、kpiece. Internal three-point measuring devices are suitable for checking P3G hubs. Figure 4 shows an example of a set-up for measuring polygon shafts. Figure 4 Example of set-up for measuring polygon shafts 9 DIN 32711-1:2009-03 10 Bibliography Frank A., Pflanzl M.: Die Polygon-Verbindungen P3G und

39、P4C Geometrische Grundlagen, Funktionsverhalten und Fertigung (Polygon connections P3G and P4C Geometric principles, operating characteristics and production), VDI Berichte 1384 Welle-Nabe-Verbindungen, pp. 105120 Frank A., Trantin H., Pflanzl M.: Die Polygon-Normen“ DIN 32711 und DIN 32712 Upgradin

40、g“ oder Neunormung (The “polygon standards” DIN 32711 and DIN 32712 “Upgrading” or defining new standards), VDI Berichte 1790 Welle-Nabe-Verbindungen, pp. 7789 Gttlicher, Ch.: Entwicklung einer verbesserten Festigkeitsberechnung fr P3G-Polygon-Welle-Nabe-Verbindungen bei Torsion und kombinierter Bie

41、ge- und Torsionsbeanspruchung (Development of improved production calculations for P3G shaft-to-hub connections subject to torsion and combined torsion/bending loads). Dissertation, Technische Hochschule Darmstadt, 1994 Leidich, E.: FVA-Forschungsreport 2005, Forschungsvorhaben Nr. 477 Vergleichende

42、 Betrachtung der Fertigungstechnologien fr P3G-WNV hinsichtlich Fertigungskosten (-zeiten) und Toleranzen 0147“ (Comparative discussion of production technologies for P3G shaft-to-hub connections with regard to production costs (time) and tolerances 0417), FVA-Heft No. 801, 2006 Mechnik, R.-P.: Fest

43、igkeitsberechnung von genormten und optimierten Polygon-Welle-Nabe-Verbindungen unter reiner Torsion (Calculating the mechanical strength of standardized and optimized shaft-to-hub connections subject to torsion only). Dissertation, Technische Hochschule Darmstadt, 1988 Reinholz, R.: Tragfhigkeit vo

44、n P3G-Welle-Nabe-Verbindungen bei Dauerschwingbeanspruchung (Load-bearing capacity of P3G shaft-to-hub connections under continuously oscillating loads). Dissertation, TU Berlin, 1994 Ziaei, M.: Analytische Untersuchung unrunder Profilformen und numerische Optimierung genormter Polygonprofile fr Wel

45、le-Nabe-Verbindungen (Analytical studies of non-circular profile shapes and numerical optimization of standardized polygon profiles for shaft-to-hub connections). Habilitation, Technische Universitt Chemnitz, 2002 DIN 32712-1:2009-03, Shaft-to-hub connection P4C Polygon profile Part 1: General information and geometry DIN 32712-2:2009-03, Shaft-to-hub connection P4C Polygon profile Part 2: Calculation of mechanical properties and dimensions