SIST EN 15302:2008

Railway applications - Method for determining the equivalent conicity

The wheel-rail interface is fundamental to explain the dynamic running behaviour of a railway vehicle. It must therefore be understood and among the parameters by which it is characterised, the one called "equivalent conicity" plays an essential role since it allows the satisfactory appreciation of the wheel-rail contact on tangent track and on large-radius curves.
As the term equivalent conicity is used in a number of standards documents, including UIC leaflets, ISO standards and European standard, it is necessary to have an unambiguous way of determining it.
The purpose of this leaflet is to propose a method for determining equivalent conicity which can be applied in the context of standards documents.
This leaflet does not define limits for the equivalent conicity and gives no tolerances for the shape of the railhead and the wheel profile to get acceptable results of the conicity.

Bahnanwendungen - Methode zur Bestimmung der äquivalenten Konizität

Die Kontaktgeometrie zwischen Rad und Schiene ist von grundlegender Bedeutung für das dynamische Fahrverhalten eines Schienenfahrzeugs. Dabei ist der Parameter der „äquivalenten Konizität“ von besonderer Bedeutung bei der Beschreibung der Kontaktgeometrie im geraden Gleis und in Gleisbögen mit großen Halbmessern.
Zur Bestimmung der äquivalenten Konizität ist ein eindeutiges Verfahren erforderlich, welches sowohl in Europäischen und nationalen Normen als auch anderen Dokumenten (rechtlicher und technischer Natur) verwendet wird. Um zu erreichen, dass die Ergebnisse vergleichbar sind, wird in dieser Norm eine Vergleichsrechnung festgelegt. Diese Europäische Norm beinhaltet außerdem einen Vorschlag für ein mögliches Berechnungsverfahren, welches jedoch nicht ausdrücklich empfohlen wird.
Dieses Verfahren beinhaltet Referenzprofile, Profilkombinationen, Toleranzen und Referenzergebnisse mit Toleranzgrenzen und ermöglicht so die Beurteilung der Zulässigkeit eines Mess- und Berechnungssystems, unter Berücksichtigung von Zufalls- und Gitterfehlern des Meßsystems.
Es legt keinen Grenzwert für die äquivalente Konizität fest und gibt keine Toleranzen für das Schienenkopfprofil und das Radprofil an, um akzeptable Konizitätswerte zu erhalten.
Für andere Anwendungszwecke kann es nützlich oder erforderlich sein, weitergehende Verfahren zu verwenden, z. B. durch die Berücksichtigung einer elastischen Kontaktfläche oder des Wankwinkels des Radsatzes in Folge seiner Querverschiebung. Diese Verfahren liegen außerhalb des Anwendungsbereiches dieser Europäischen Norm.

Applications ferroviaires - Méthode de détermination de la conicité équivalente

Pour expliquer le comportement dynamique de marche d'un véhicule ferroviaire, l'interface roue-rail tient un rôle fondamental. Aussi sa connaissance est nécessaire et, parmi les parametres permettant de la caractériser, celui dénommé "conicité équivalente" joue un rôle essentiel puisqu'il permet d'appréhender au mieux le contact roue-rail en alignement et dans les courbes de grand rayon.
Il est nécessaire d'avoir un mode opératoire de détermination précis pour la conicité équivalente qui est utilisée dans des normes européennes et nationales et dans des documents (juridiques et techniques). Les résultats doivent etre cohérents. Pour y parvenir, un calcul de comparaison est défini. La présente norme propose également une méthode de calcul possible qui n'est pas explicitement recommandée.
Ce mode opératoire contient des profils de référence, des combinaisons de profils, des tolérances et des résultats de référence avec des limites de tolérance et permet d'évaluer l'acceptabilité d'un systeme de mesure et de calcul, y compris les erreurs aléatoires et les erreurs de grille du systeme de mesure.
Le présent document ne définit pas de limite pour la conicité équivalente et ne donne aucune tolérance sur la forme du champignon de rail ni sur le profil de roue pour obtenir des résultats acceptables sur la conicité.
Pour d'autres besoins, il peut s'avérer utile ou nécessaire d'utiliser des théories plus sophistiquées, par exemple, en incluant des zones de contact élastiques ou l'angle de roulis de l'essieu du au déplacement transversal. Ces méthodes n'entrent pas dans le domaine d'application de la présente norme.

Železniške naprave - Metoda za ugotavljanje ustrezne koničnosti

General Information

• Status: Withdrawn
• Publication Date: 09-Apr-2008
• Withdrawal Date: 07-Nov-2010
• ICS: 45.060.01 - Railway rolling stock in general
• Technical Committee: IŽNP - Reilway applications
• Current Stage: 9900 - Withdrawal (Adopted Project)
• Start Date: 08-Nov-2010
• Due Date: 01-Dec-2010
• Completion Date: 08-Nov-2010
• Directive: 93/38/EEC - Procurement procedures of entities operating in the water, energy, transport and telecommunications sectors
• Directive: 96/48/EC - Interoperability of the trans-European high-speed rail system
• Mandate: M/024 - Mandate to CEN/CENELEC/ETSI for programming and standardization in the field of railway equipment
• Mandate: M/275 - Mandate to CEN/CENELEC/ETSI for standardization in the field of railway equipment on the interoperability of the Trans-European high-speed rail system
• Ref Project: EN 15302:2008 - Railway applications - Method for determining the equivalent conicity

Relations

• Consolidated By: SIST EN 15302:2008+A1:2010 - Railway applications - Method for determining the equivalent conicity
• Effective Date: 18-Jan-2023
• Consolidated By: SIST EN 15302:2008+A1:2010 - Railway applications - Method for determining the equivalent conicity
• Effective Date: 19-Jan-2023
• Revised: SIST EN 15302:2008/kFprA1:2010 - Railway applications - Method for determining the equivalent conicity
• Effective Date: 15-Feb-2010
• Consolidated By: SIST EN 15302:2008+A1:2010 - Railway applications - Method for determining the equivalent conicity
• Effective Date: 01-Dec-2010

Standards Content (Sample)

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Railway applications - Method for determining the equivalent conicityApplications ferroviaires - Méthode de détermination de la conicité équivalenteBahnanwendungen - Methode zur Bestimmung der äquivalenten Konizität45.060.01Železniška vozila na splošnoRailway rolling stock in generalICS:SIST EN 15302:2008enTa slovenski standard je istoveten z:EN 15302:200801-junij-2008SIST EN 15302:2008SLOVENSKI
STANDARD







EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 15302March 2008ICS 17.040.20; 45.060.01 English VersionRailway applications - Method for determining the equivalentconicityApplications ferroviaires - Méthode de détermination de laconicité équivalenteBahnanwendungen - Verfahren zur Bestimmung deräquivalenten KonizitätThis European Standard was approved by CEN on 7 February 2008.CEN 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 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 translationunder the responsibility of a CEN member into its own language and notified to the CEN Management Centre has the 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,Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre: rue de Stassart, 36
B-1050 Brussels© 2008 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 15302:2008: E



EN 15302:2008 (E) 2 Contents Page Foreword.9 Introduction.10 1 Scope.13 2 Normative references.13 3 Symbols.14 4 Principle of determining the equivalent conicity.15 4.1 Integration of the equation of the wheelset movement of a conical profile.15 4.2 Determining the wavelength of a conical profile.16 4.3 Definition of equivalent conicity for nonlinear profiles.17 5 Description of the reference procedure.17 5.1 General principles.17 5.2 Determining 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 conicity.19 6 Benchmark calculation.19 6.1 Overview.19 6.2 Validation of evaluation method.19 Annex A (informative)
Example of presentation of ∆∆∆∆r function and conicity.21 Annex B (informative)
Example of method for determining the equivalent conicity by integration of the nonlinear differential equation.22 B.1 Principle.22 B.2 Steps of the procedure.25 B.3 Special cases.26 Annex C (informative)
Example of method for determining the equivalent conicity by linear regression of the ∆∆∆∆r function.28 C.1 Principles.28 C.2 Steps of the procedure.28 C.3 Particularities.28 Annex D (normative)
Reference profiles.29 D.1 Wheel A.29 D.1.1 Drawing.29 D.1.2 Analytic definition.29 D.1.3 Cartesian coordinates.30 D.2 Wheel B.31 D.2.1 Drawing.31 D.2.2 Analytic definition.31 D.2.3 Cartesian coordinates.32 D.3 Wheel H.33 D.3.1 Drawing.33 D.3.2 Analytic definition.33 D.3.3 Cartesian coordinates.34 D.4 Wheel I.35 D.4.1 Drawing.35 D.4.2 Analytic definition.35



EN 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 profiles.39 E.1 Wheel A / Rail A.40 E.1.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.43 E.2 Wheel B / Rail A.44 E.2.1 Diagram ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.47 E.3 Wheel H / Rail A.48 E.3.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe 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 tanγγγγe function.51 E.4 Wheel I / Rail A.52 E.4.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation 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 tanγγγγe function.55 E.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A.56 E.5.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.59 E.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A.60 E.6.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.63 E.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A.64 E.7.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.67 E.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A.67 E.8.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.71 E.9 (Right Wheel A – Left Wheel B) / Rail A.72 E.9.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 tanγγγγe function.75 Annex F (normative)
Tolerances on equivalent conicity.76 F.1 Wheel A / Rail A.77



EN 15302:2008 (E) 4 F.1.1 Diagram.77 F.1.2 Numerical values.78 F.2 Wheel B / Rail A.80 F.2.1 Diagram.80 F.2.2 Numerical values.81 F.3 Wheel H / Rail A.83 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 (-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.99 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 mm.104 G.2 Wheel A / Rail A — Random error in mm.105 G.3 Wheel A / Rail A — Random error in mm.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 errors.111 H.1 Grid error.111 H.2 Random error.113 Annex I (informative)
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 2.11 Figure 3 — Benchmark process, Step 3.12 Figure 4 — Dimensions on the wheelset.15 Figure 5 — y = f(x) function.16 Figure A.1 — ∆∆∆∆r = f(y) function and tanγγγγe = f(y).21 Figure B.1 — Representation of dx, dy.22



EN 15302:2008 (E) 5 Figure B.2 — Representation of ds, dΨΨΨΨ.22 Figure B.3 — Representation of r1, r2, e.23 Figure B.4 — ∆∆∆∆r = f(y) characteristic with negative slope.26 Figure B.5 — Calculation of ∫rdyû integral.26 Figure B.6 — Determination of yem , calculation of ∫∆rdyand determination of yˆ.27 Figure B.7 — Determination of yemin = f(yˆ) and yemax = f(yˆ) functions.27 Figure B.8 — Determination of C constant.27 Figure D.1 — Wheel A.29 Figure D.2 —Wheel B.31 Figure D.3 — Wheel H.33 Figure D.4 — Wheel I.35 Figure D.5 — Rail A.37 Figure E.1a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel 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, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel B / Rail A.44 Figure E.2b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel B / Rail A.45 Figure E.3a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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, tanγγγγa, tanγγγγe functions 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, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel A / Rail A.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, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel B / Rail A.60 Figure E.6b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel B / Rail A.61 Figure E.7a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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.65



EN 15302:2008 (E) 6 Figure E.8a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel I / Rail A.68 Figure E.8b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel I / Rail A.69 Figure E.9a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions 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 — (Right 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 A.86 Figure F.5 — Diagram modified Wheel A / Rail A.89 Figure F.6 — Diagram modified Wheel B /
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