1、January 2011 Translation by DIN-Sprachendienst.English price group 33No 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).IC
2、S 17.040.20; 45.060.01!$ma“1742762www.din.deDDIN EN 15302Railway applications Method for determining the equivalent conicity (includes AmendmentA1:2010)English translation of DIN EN 15302:2011-01Bahnanwendungen Verfahren zur Bestimmung der quivalenten Konizitt (enthlt nderung A1:2010)Englische berse
3、tzung von DIN EN 15302:2011-01Applications ferroviaires Mthode de dtermination de la conicit quivalente (Amendement A1:2010 inclus)Traduction anglaise de DIN EN 15302:2011-01SupersedesDIN EN 15302:2009-07www.beuth.deDocument comprises pagesIn case of doubt, the German-language original shall be cons
4、idered authoritative.1260 .11 2DIN EN 15302:2011-01 A comma is used as the decimal marker. National foreword This standard has been prepared by Technical Committee CEN/TC 256 “Railway applications” (Secretariat: DIN, Germany). The responsible German body involved in its preparation was the Normenaus
5、schuss Fahrweg und Schienenfahrzeuge (Railway Standards Committee), Working Committee NA 087-00-02-02 UA Fahrtechnik. Amendments This standard differs from DIN EN 15302:2009-07 as follows: a) Annex ZA concerning the relationship between this standard and EU Directives has been brought in line with t
6、he essential requirements of the new Directive 2008/57/EC on the interoperability of the rail system within the Community. Previous editions DIN EN 15302: 2009-07 2 EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN 15302:2008+A1 November 2010 ICS 17.040.20; 45.060.01 Supersedes EN 15302:2008Engli
7、sh Version Railway applications - Method for determining the equivalent conicity Applications ferroviaires - Mthode de dtermination de la conicit quivalente Bahnanwendungen - Verfahren zur Bestimmung der quivalenten Konizitt This European Standard was approved by CEN on 7 February 2008 and includes
8、Amendment 1 approved by CEN on 28 September 2010.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concer
9、ning such national standards may be obtained on application to the CEN Management Centre or to any CEN member. This European Standard exists in three official versions (English, French, German). A version in any other language made by translation under the responsibility of a CEN member into its own
10、 language and notified to the CEN Management Centre has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia
11、, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG Management Centre: Avenue Marnix 17, B-1000 Brussels
12、 2010 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN 15302:2008+A1:2010: EEN 15302:2008+A1:2010 (E) 2 Contents Page Foreword 9Introduction 101 Scope . 132 Normative references . 133 Symbols . 144 Principle of determining the equiv
13、alent conicity . 154.1 Integration of the equation of the wheelset movement of a conical profile . 154.2 Determining the wavelength of a conical profile . 164.3 Definition of equivalent conicity for nonlinear profiles 175 Description of the reference procedure . 175.1 General principles. 175.2 Deter
14、mining the wheel and rail profiles . 185.2.1 Principles of measurement 185.2.2 Accuracy of the measuring system 185.3 Determining the rolling radius difference function r 185.4 Determining the equivalent conicity . 196 Benchmark calculation 196.1 Overview 196.2 Validation of evaluation method . 19An
15、nex A (informative) Example of presentation of r function and conicity . 21Annex B (informative) Example of method for determining the equivalent conicity by integration of the nonlinear differential equation . 22B.1 Principle . 22B.2 Steps of the procedure . 25B.3 Special cases 26Annex C (informati
16、ve) Example of method for determining the equivalent conicity by linear regression of the r function 28C.1 Principles . 28C.2 Steps of the procedure . 28C.3 Particularities 28Annex D (normative) Reference profiles 29D.1 Wheel A 29D.1.1 Drawing 29D.1.2 Analytic definition . 29D.1.3 Cartesian coordina
17、tes 30D.2 Wheel B 31D.2.1 Drawing 31D.2.2 Analytic definition . 31D.2.3 Cartesian coordinates 32D.3 Wheel H 33D.3.1 Drawing 33D.3.2 Analytic definition . 33D.3.3 Cartesian coordinates 34D.4 Wheel I . 35D.4.1 Drawing 35D.4.2 Analytic definition . 35DIN EN 15302:2011-01 EN 15302:2008+A1:2010 (E) 3 D.4
18、.3 Cartesian coordinates . 36D.5 Rail A . 37D.5.1 Drawing. 37D.5.2 Analytic definition . 37D.5.3 Cartesian coordinates . 38Annex E (normative) Calculation results with reference profiles 39E.1 Wheel A / Rail A . 40E.1.1 Diagram of r, tana, tanefunctions and representation of contact points 40E.1.2 R
19、epresentation of the curves of kinematic rolling movement of the wheelset on track . 41E.1.3 Numerical values for r function . 42E.1.4 Numerical values for tanefunction . 43E.2 Wheel B / Rail A . 44E.2.1 Diagram r, tana, tanefunctions and representation of contact points . 44E.2.2 Representation of
20、the curves of kinematic rolling movement of the wheelset on track . 45E.2.3 Numerical values for r function . 46E.2.4 Numerical values for tanefunction . 47E.3 Wheel H / Rail A . 48E.3.1 Diagram of r, tana, tanefunctions and representation of contact points . 48E.3.2 Representation of the curves of
21、kinematic rolling movement of the wheelset on track . 49E.3.3 Numerical values for r function . 50E.3.4 Numerical values for tanefunction 51E.4 Wheel I / Rail A . 52E.4.1 Diagram of r, tana, tanefunctions and representation of contact points . 52E.4.2 Representation of the curves of kinematic rollin
22、g movement of the wheelset on track . 53E.4.3 Numerical values for r function . 54E.4.4 Numerical values for tanefunction . 55E.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A 56E.5.1 Diagram of r, tana, tanefunctions and representation of contact points . 56E.5.2 Representation of the cu
23、rves of kinematic rolling movement of the wheelset on track . 57E.5.3 Numerical values for r function . 58E.5.4 Numerical values for tanefunction 59E.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A 60E.6.1 Diagram of r, tana, tanefunctions and representation of contact points . 60E.6.2 Re
24、presentation of the curves of kinematic rolling movement of the wheelset on track . 61E.6.3 Numerical values for r function . 62E.6.4 Numerical values for tanefunction 63E.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A 64E.7.1 Diagram of r, tana, tanefunctions and representation of conta
25、ct points . 64E.7.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 65E.7.3 Numerical values for r function . 66E.7.4 Numerical values for tanefunction 67E.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A 67E.8.1 Diagram of r, tana, tanefunctions and r
26、epresentation of contact points . 67E.8.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 69E.8.3 Numerical values for r function . 70E.8.4 Numerical values for tanefunction 71E.9 (Right Wheel A Left Wheel B) / Rail A . 72E.9.1 Diagram of r, tana, tanefunctions
27、and representation of contact points . 72E.9.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 73E.9.3 Numerical values for r function . 74E.9.4 Numerical values for tanefunction 75Annex F (normative) Tolerances on equivalent conicity 76F.1 Wheel A / Rail A . 77
28、DIN EN 15302:2011-01 EN 15302:2008+A1:2010 (E) 4 F.1.1 Diagram 77F.1.2 Numerical values 78F.2 Wheel B / Rail A . 80F.2.1 Diagram 80F.2.2 Numerical values 81F.3 Wheel H / Rail A . 83F.3.1 Diagram 83F.3.2 Numerical values 84F.4 Wheel I / Rail A 86F.4.1 Diagram 86F.4.2 Numerical values 87F.5 Modified W
29、heel A (-2 mm on left wheel diameter) / Rail A . 89F.5.1 Diagram 89F.5.2 Numerical values 90F.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A . 92F.6.1 Diagram 92F.6.2 Numerical values 93F.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A . 95F.7.1 Diagram 95F.7.2 Numerical value
30、s 96F.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A . 98F.8.1 Diagram 98F.8.2 Numerical values 99F.9 (Right Wheel A Left Wheel B) / Rail A 101F.9.1 Diagram 101F.9.2 Numerical values 102Annex G (informative) Examples of calculation results with introduced errors 104G.1 Wheel A / Rail A R
31、andom error in mm . 104G.2 Wheel A / Rail A Random error in mm . 105G.3 Wheel A / Rail A Random error in mm . 106G.4 Wheel A / Rail A Grid error in mm 107G.5 Wheel A / Rail A Grid error in mm 108G.6 Wheel A / Rail A Grid error in mm 109G.7 Wheel H / Rail A Random error in mm . 110Annex H (informativ
32、e) Guideline for application of errors . 111H.1 Grid error . 111H.2 Random error 114Annex I (informative) Guidelines for application 117Annex ZA (informative) !Relationship between this European Standard and the Essential Requirements of EU Directive 2008/57/EC of the European Parliament and of the
33、Council of 17 June 2008 on the interoperability of the rail system within the Community (Recast)“ 119Bibliography . 124Figures Figure 1 Benchmark process, Step 1 11Figure 2 Benchmark process, Step 2 11Figure 3 Benchmark process, Step 3 12Figure 4 Dimensions on the wheelset . 15Figure 5 y = f(x) func
34、tion . 16Figure A.1 r = f(y) function and tane= f(y) . 21DIN EN 15302:2011-01 EN 15302:2008+A1:2010 (E) 5 Figure B.1 Representation of dx, dy 22Figure B.2 Representation of ds, d . 22Figure B.3 Representation of r1, r2, e . 23Figure B.4 r = f(y) characteristic with negative slope . 26Figure B.5 Calc
35、ulation of rdy integral . 26Figure B.6 Determination of yem, calculation of rdy and determination of y27Figure B.7 Determination of yemin= f( y ) and yemax= f( y ) functions . 27Figure B.8 Determination of C constant 27Figure D.1 Wheel A 29Figure D.2 Wheel B . 31Figure D.3 Wheel H 33Figure D.4 Wheel
36、 I 35Figure D.5 Rail A 37Figure E.1a Diagram of r, tana, tanefunctions and representation of contact points Wheel A / Rail A . 40Figure E.1b Representation of the curves of kinematic rolling movement of the wheelset on track Wheel A / Rail A . 41Figure E.2a Diagram r, tana, tanefunctions and represe
37、ntation of contact points Wheel B / Rail A . 44Figure E.2b Representation of the curves of kinematic rolling movement of the wheelset on track Wheel B / Rail A . 45Figure E.3a Diagram of r, tana, tanefunctions and representation of contact points Wheel H / Rail A . 48Figure E.3b Representation of th
38、e curves of kinematic rolling movement of the wheelset on track Wheel H / Rail A . 49Figure E.4a Diagram of r, tana, tanefunctions and representation of contact points Wheel I / Rail A . 52Figure E.4b Representation of the curves of kinematic rolling movement of the wheelset on track Wheel I / Rail
39、A . 53Figure E.5a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel A / Rail A . 56Figure E.5b Representation of the curves of kinematic rolling movement of the wheelset on track Modified Wheel A / Rail A . 57Figure E.6a Diagram of r, tana, tanefunctions and repre
40、sentation of contact points Modified Wheel B / Rail A . 60Figure E.6b Representation of the curves of kinematic rolling movement of the wheelset on track Modified Wheel B / Rail A . 61Figure E.7a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel H / Rail A . 64Fig
41、ure E.7b Representation of the curves of kinematic rolling movement of the wheelset on track Modified Wheel H / Rail A . 65DIN EN 15302:2011-01 EN 15302:2008+A1:2010 (E) 6 Figure E.8a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel I / Rail A 68Figure E.8b Repre
42、sentation of the curves of kinematic rolling movement of the wheelset on track Modified Wheel I / Rail A 69Figure E.9a Diagram of r, tana, tanefunctions and representation of contact points (Right Wheel A Left Wheel B) / Rail A 72Figure E.9b Representation of the curves of kinematic rolling movement
43、 of the wheelset on track (Right Wheel A Left Wheel B) / Rail A 73Figure F.1 Diagram Wheel A / Rail A . 77Figure F.2 Diagram Wheel B / Rail A . 80Figure F.3 Diagram Wheel H / Rail A . 83Figure F.4 Diagram Wheel I / Rail A . 86Figure F.5 Diagram modified Wheel A / Rail A . 89Figure F.6 Diagram modifi
44、ed Wheel B / Rail A . 92Figure F.7 Diagram modified Wheel H / Rail A . 95Figure F.8 Diagram modified Wheel I / Rail A . 98Figure F.9 Diagram (Right Wheel A Left Wheel B) / Rail A . 101Figure G.1 Wheel A / Rail A Random error in mm . 104Figure G.2 Wheel A / Rail A Random error in mm . 105Figure G.3 W
45、heel A / Rail A Random error in mm . 106Figure G.4 Wheel A / Rail A Grid error in mm 107Figure G.5 Wheel A / Rail A Grid error in mm 108Figure G.6 Wheel A / Rail A Grid error in mm 109Figure G.7 Wheel H / Rail A Random error in mm . 110Figure H.1 Transformation of the point P (x, y) to grid with gri
46、d widths y, z . 111Figure H.2 Grid transformation with grid widths of 0,5 mm . 112Figure H.3 Variation of the grid origin. 112Figure H.4 50 variants of grid origins 114Figure H.5 Random error of measuring points 116Tables Table D.1 Wheel profile: R-UIC 519-A Right wheel 30Table D.2 Wheel profile: R-
47、UIC 519-B Right wheel 32Table D.3 Wheel profile: R-UIC 519-H Right wheel 34Table D.4 Wheel profile: R-UIC 519-I Right wheel . 36Table D.5 Rail profile: S-UIC 519-A Right rail 38Table E.1a Contact geometry wheel / rail: r = f(y) Wheel profile: R-UIC 519-A Rail Profile: S-UIC 519-A . 42Table E.1b Contact geometry wheel / rail: Conicity Wheel profile: R-UIC 519-A Rail profile: S-UIC 519-A 43DIN EN 15302:2011-01 EN 15302:2008+A1:2010 (E) 7 Table E.2a Cont
