1、Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled Copy, (c) BSIg49g50g3g38g50g51g60g44g49g42g3g58g44g55g43g50g56g55g3g37g54g44g3g51g40g53g48g44g54g54g44g50g49g3g40g59g38g40g51g55g3g36g54g3g51g40g53g48g44g55g55g40g39g3g37g60g3g38g50g51g60g53g44g42g43g55g3g47g36g58I
2、CS 17.040.20; 45.060.01Railway applications Method for determining the equivalent conicityBRITISH STANDARDBS EN 15302:2008BS EN 15302:2008Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled Copy, (c) BSIThis British Standard was published under the authority of the
3、Standards Policy and Strategy Committee on 30 June 2008 BSI 2008ISBN 978 0 580 55590 9these requirements to claim compliance with the document.)This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application.Compliance with a
4、 British Standard cannot confer immunity from legal obligations.Amendments/corrigenda issued since publicationDate Comments“Normative” A (mandatory) requirement defined as an expression in the content of a document conveying criteria to be fulfilled if compliance with the document is to be claimed a
5、nd from which no deviation is permitted CEN/CENELEC Internal Regulations, Part 3: Rules for the Structure and Drafting of European Standards (PNE-Rules). “Informative” Information (not mandatory) intended to assist the understanding or use of the document. Informative annexes shall not contain requi
6、rements, except as optional requirements. (For example, a test method that is optional may contain requirements but there is no need to comply with National forewordThis British Standard is the UK implementation of EN 15302:2008. The UK participation in its preparation was entrusted by Technical Com
7、mittee RAE/1, Railway applications, to Panel RAE/1/-/8, Vehicle/track interaction.A list of organizations represented on this committee can be obtained on request to its secretary.Definitions of normative and informative. EUROPEAN STANDARDNORME EUROPENNEEUROPISCHE NORMEN 15302March 2008ICS 17.040.20
8、; 45.060.01English VersionRailway applications - Method for determining the equivalentconicityApplications ferroviaires - Mthode de dtermination de laconicit quivalenteBahnanwendungen - Verfahren zur Bestimmung derquivalenten KonizittThis European Standard was approved by CEN on 7 February 2008.CEN
9、members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards may be obtained on applica
10、tion 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 translationunder the responsibility of a CEN member into its own language and notified to the CEN Management Centre has t
11、he same status as theofficial versions.CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland,France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal
12、,Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMIT EUROPEN DE NORMALISATIONEUROPISCHES KOMITEE FR NORMUNGManagement Centre: rue de Stassart, 36 B-1050 Brussels 2008 CEN All rights of exploitation in any form and by any means reserv
13、edworldwide for CEN national Members.Ref. No. EN 15302:2008: ELicensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled Copy, (c) BSIEN 15302:2008 (E) 2 Contents Page Foreword9 Introduction .10 1 Scope 13 2 Normative references 13 3 Symbols 14 4 Principle of determining t
14、he equivalent conicity15 4.1 Integration of the equation of the wheelset movement of a conical profile 15 4.2 Determining the wavelength of a conical profile16 4.3 Definition of equivalent conicity for nonlinear profiles .17 5 Description of the reference procedure 17 5.1 General principles17 5.2 De
15、termining the wheel and rail profiles 18 5.2.1 Principles of measurement.18 5.2.2 Accuracy of the measuring system .18 5.3 Determining the rolling radius difference function r .18 5.4 Determining the equivalent conicity19 6 Benchmark calculation .19 6.1 Overview.19 6.2 Validation of evaluation metho
16、d 19 Annex A (informative) Example of presentation of r function and conicity21 Annex B (informative) Example of method for determining the equivalent conicity by integration of the nonlinear differential equation 22 B.1 Principle22 B.2 Steps of the procedure25 B.3 Special cases .26 Annex C (informa
17、tive) Example of method for determining the equivalent conicity by linear regression of the r function .28 C.1 Principles28 C.2 Steps of the procedure28 C.3 Particularities .28 Annex D (normative) Reference profiles.29 D.1 Wheel A.29 D.1.1 Drawing.29 D.1.2 Analytic definition29 D.1.3 Cartesian coord
18、inates .30 D.2 Wheel B.31 D.2.1 Drawing.31 D.2.2 Analytic definition31 D.2.3 Cartesian coordinates .32 D.3 Wheel H.33 D.3.1 Drawing.33 D.3.2 Analytic definition33 D.3.3 Cartesian coordinates .34 D.4 Wheel I 35 D.4.1 Drawing.35 D.4.2 Analytic definition35 BS EN 15302:2008Licensed Copy: Wang Bin, ISO/
19、EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled Copy, (c) BSIEN 15302:2008 (E) 3 D.4.3 Cartesian coordinates.36 D.5 Rail A.37 D.5.1 Drawing.37 D.5.2 Analytic definition .37 D.5.3 Cartesian coordinates.38 Annex E (normative) Calculation results with reference profiles39 E.1 Wheel A / Rail A
20、.40 E.1.1 Diagram of r, tana, tanefunctions and representation of contact points 40 E.1.2 Representation of the curves of kinematic rolling movement of the wheelset on track .41 E.1.3 Numerical values for r function .42 E.1.4 Numerical values for tanefunction.43 E.2 Wheel B / Rail A .44 E.2.1 Diagra
21、m r, tana, tanefunctions and representation of contact points .44 E.2.2 Representation of the curves of kinematic rolling movement of the wheelset on track .45 E.2.3 Numerical values for r function .46 E.2.4 Numerical values for tanefunction.47 E.3 Wheel H / Rail A .48 E.3.1 Diagram of r, tana, tane
22、functions and representation of contact points.48 E.3.2 Representation of the curves of kinematic rolling movement of the wheelset on track .49 E.3.3 Numerical values for r function .50 E.3.4 Numerical values for tanefunction 51 E.4 Wheel I / Rail A.52 E.4.1 Diagram of r, tana, tanefunctions and rep
23、resentation of contact points.52 E.4.2 Representation of the curves of kinematic rolling movement of the wheelset on track .53 E.4.3 Numerical values for r function .54 E.4.4 Numerical values for tanefunction.55 E.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A 56 E.5.1 Diagram of r, tana
24、, tanefunctions and representation of contact points.56 E.5.2 Representation of the curves of kinematic rolling movement of the wheelset on track .57 E.5.3 Numerical values for r function .58 E.5.4 Numerical values for tanefunction 59 E.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A 60 E
25、.6.1 Diagram of r, tana, tanefunctions and representation of contact points.60 E.6.2 Representation of the curves of kinematic rolling movement of the wheelset on track .61 E.6.3 Numerical values for r function .62 E.6.4 Numerical values for tanefunction 63 E.7 Modified Wheel H (-2 mm on left wheel
26、diameter) / Rail A 64 E.7.1 Diagram of r, tana, tanefunctions and representation of contact points.64 E.7.2 Representation of the curves of kinematic rolling movement of the wheelset on track .65 E.7.3 Numerical values for r function .66 E.7.4 Numerical values for tanefunction 67 E.8 Modified Wheel
27、I (-2 mm on left wheel diameter) / Rail A67 E.8.1 Diagram of r, tana, tanefunctions and representation of contact points.67 E.8.2 Representation of the curves of kinematic rolling movement of the wheelset on track .69 E.8.3 Numerical values for r function .70 E.8.4 Numerical values for tanefunction
28、71 E.9 (Right Wheel A Left Wheel B) / Rail A.72 E.9.1 Diagram of r, tana, tanefunctions and representation of contact points.72 E.9.2 Representation of the curves of kinematic rolling movement of the wheelset on track .73 E.9.3 Numerical values for r function .74 E.9.4 Numerical values for tanefunct
29、ion75 Annex F (normative) Tolerances on equivalent conicity 76 F.1 Wheel A / Rail A .77 BS EN 15302:2008Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled Copy, (c) BSIEN 15302:2008 (E) 4 F.1.1 Diagram.77 F.1.2 Numerical values .78 F.2 Wheel B / Rail A80 F.2.1 Diag
30、ram.80 F.2.2 Numerical values .81 F.3 Wheel H / Rail A83 F.3.1 Diagram.83 F.3.2 Numerical values .84 F.4 Wheel I / Rail A .86 F.4.1 Diagram.86 F.4.2 Numerical values .87 F.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A 89 F.5.1 Diagram.89 F.5.2 Numerical values .90 F.6 Modified Wheel B (
31、-2 mm on left wheel diameter) / Rail A 92 F.6.1 Diagram.92 F.6.2 Numerical values .93 F.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A 95 F.7.1 Diagram.95 F.7.2 Numerical values .96 F.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A 98 F.8.1 Diagram.98 F.8.2 Numerical values .9
32、9 F.9 (Right Wheel A Left Wheel B) / Rail A.101 F.9.1 Diagram.101 F.9.2 Numerical values .102 Annex G (informative) Examples of calculation results with introduced errors.104 G.1 Wheel A / Rail A Random error in mm104 G.2 Wheel A / Rail A Random error in mm 105 G.3 Wheel A / Rail A Random error in m
33、m 106 G.4 Wheel A / Rail A Grid error in mm .107 G.5 Wheel A / Rail A Grid error in mm .108 G.6 Wheel A / Rail A Grid error in mm .109 G.7 Wheel H / Rail A Random error in mm 110 Annex H (informative) Guideline for application of errors111 H.1 Grid error 111 H.2 Random error .113 Annex I (informativ
34、e) Guidelines for application .115 Annex ZA (informative) Relationship between this European Standard and the Essential Requirements of EU Directive Council Directive 96/48/EC as amended by 2004/50/EC 117 Bibliography 119 Figures Figure 1 Benchmark process, Step 1.11 Figure 2 Benchmark process, Step
35、 2.11 Figure 3 Benchmark process, Step 3.12 Figure 4 Dimensions on the wheelset15 Figure 5 y = f(x) function .16 Figure A.1 r = f(y) function and tane= f(y).21 Figure B.1 Representation of dx, dy.22 BS EN 15302:2008Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled
36、 Copy, (c) BSIEN 15302:2008 (E) 5 Figure B.2 Representation of ds, d .22 Figure B.3 Representation of r1, r2, e23 Figure B.4 r = f(y) characteristic with negative slope 26 Figure B.5 Calculation of rdy integral .26 Figure B.6 Determination of yem, calculation of rdy and determination of y.27 Figure
37、B.7 Determination of yemin= f( y ) and yemax= f( y ) functions27 Figure B.8 Determination of C constant27 Figure D.1 Wheel A 29 Figure D.2 Wheel B .31 Figure D.3 Wheel H 33 Figure D.4 Wheel I35 Figure D.5 Rail A 37 Figure E.1a Diagram of r, tana, tanefunctions and representation of contact points Wh
38、eel A / Rail A .40 Figure E.1b Representation of the curves of kinematic rolling movement of the wheelset on track Wheel A / Rail A.41 Figure E.2a Diagram r, tana, tanefunctions and representation of contact points Wheel B / Rail A.44 Figure E.2b Representation of the curves of kinematic rolling mov
39、ement of the wheelset on track Wheel B / Rail A.45 Figure E.3a Diagram of r, tana, tanefunctions and representation of contact points Wheel H / Rail A .48 Figure E.3b Representation of the curves of kinematic rolling movement of the wheelset on track Wheel H / Rail A.49 Figure E.4a Diagram of r, tan
40、a, tanefunctions and representation of contact points Wheel I / Rail A.52 Figure E.4b Representation of the curves of kinematic rolling movement of the wheelset on track Wheel I / Rail A.53 Figure E.5a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel A / Rail A .
41、56 Figure E.5b Representation of the curves of kinematic rolling movement of the wheelset on track Modified Wheel A / Rail A.57 Figure E.6a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel B / Rail A .60 Figure E.6b Representation of the curves of kinematic rolli
42、ng movement of the wheelset on track Modified Wheel B / Rail A.61 Figure E.7a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel H / Rail A .64 Figure E.7b Representation of the curves of kinematic rolling movement of the wheelset on track Modified Wheel H / Rail A
43、.65 BS EN 15302:2008Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 11/09/2008 08:18, Uncontrolled Copy, (c) BSIEN 15302:2008 (E) 6 Figure E.8a Diagram of r, tana, tanefunctions and representation of contact points Modified Wheel I / Rail A .68 Figure E.8b Representation of the curves of kine
44、matic rolling movement of the wheelset on track Modified Wheel I / Rail A.69 Figure E.9a Diagram of r, tana, tanefunctions and representation of contact points (Right Wheel A Left Wheel B) / Rail A.72 Figure E.9b Representation of the curves of kinematic rolling movement of the wheelset on track (Ri
45、ght Wheel A Left Wheel B) / Rail A.73 Figure F.1 Diagram Wheel A / Rail A 77 Figure F.2 Diagram Wheel B / Rail A 80 Figure F.3 Diagram Wheel H / Rail A 83 Figure F.4 Diagram Wheel I / Rail A86 Figure F.5 Diagram modified Wheel A / Rail A89 Figure F.6 Diagram modified Wheel B / Rail A92 Figure F.7 Di
46、agram modified Wheel H / Rail A95 Figure F.8 Diagram modified Wheel I / Rail A98 Figure F.9 Diagram (Right Wheel A Left Wheel B) / Rail A101 Figure G.1 Wheel A / Rail A Random error in mm104 Figure G.2 Wheel A / Rail A Random error in mm105 Figure G.3 Wheel A / Rail A Random error in mm106 Figure G.
47、4 Wheel A / Rail A Grid error in mm.107 Figure G.5 Wheel A / Rail A Grid error in mm.108 Figure G.6 Wheel A / Rail A Grid error in mm.109 Figure G.7 Wheel H / Rail A Random error in mm110 Figure H.1 Transformation of the point P (x, y) to grid with grid widths y, z 111 Figure H.2 Grid transformation
48、 with grid widths of 0,5 mm 112 Figure H.3 Variation of the grid origin112 Figure H.4 50 variants of grid origins.113 Figure H.5 Random error of measuring points .114 Tables Table D.1 Wheel profile: R-UIC 519-A Right wheel.30 Table D.2 Wheel profile: R-UIC 519-B Right wheel.32 Table D.3 Wheel profile: R-UIC 519-H Right wheel.34 Table D.4 Wheel profile: R-UIC 519-I Right wheel 36 Table D.5 Rail profile: S-UIC 519-A Right rail .38 Table E.1a Contact geometry wheel / rail: r = f(y) Wheel profile: R-UIC 519-A Rail Profile: S-UIC 519-A 42 Table E.1b Contact geometry whe
