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BS EN 15302:2021

BS EN 15302:2021

$215.11

Railway applications. Wheel-rail contact geometry parameters. Definitions and methods for evaluation

Published By Publication Date Number of Pages
BSI 2021 144
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This document establishes definitions and evaluation methods for wheel-rail contact geometry parameters influencing the vehicle running dynamic behaviour:

  1. the rolling radius difference between the two wheels of a wheelset (? r-function) which serves as a basis for all further calculations;

  2. the equivalent conicity function from which are derived:

    1. a single equivalent conicity value for a specified amplitude which is relevant for the assessment of vehicle running stability on straight track and in very large radius curves according to EN 14363 ;

    2. the nonlinearity parameter which characterizes the shape of this function and is related to the vehicle behaviour particularly in the speed range close to the running stability limit;

  3. the rolling radii coefficient which is used to describe the theoretical radial steering capability of a wheelset in a curved track.

Additional information is given about the relationship between the contact angles of the two wheels of a wheelset (?tan?-function) and about the roll angle parameter.

NOTE

Out of the presented parameters only those related to the contact angle are relevant for independently rotating wheels of wheel pairs.

Descriptions of possible calculation methods are included in this document. Test case calculations are provided to achieve comparable results and to check the proper implementation of the described algorithms.

To validate alternative methods not described in this document acceptance criteria are given for the equivalent conicity function. This includes reference profiles, profile combinations, tolerances and reference results with tolerance limits.

This document also includes minimum requirements for the measurement of wheel and rail profiles as well as of the parameters needed for the transformation into a common coordinate system of right- and left-hand profiles.

This document does not define limits for the wheel-rail contact geometry parameters and gives no tolerances for the rail profile and the wheel profile to achieve acceptable results.

For the application of this document some general recommendations are given.

PDF Catalog

PDF Pages PDF Title
2 undefined
11 1 Scope
2 Normative references
12 3 Terms and definitions
13 4 Symbols and abbreviations
14 5 Overview of the process for determining contact parameters
6 Description of wheel and rail profiles
6.1 General
16 6.2 Uncertainty of the measuring systems
17 7 Plausibility check and processing of measured wheel and rail profiles
18 8 Determining the wheel-rail contact positions and contact functions
8.1 General
8.2 Determining the rolling radius difference function
19 8.3 Other wheel-rail contact geometry functions
9 Determining the equivalent conicity and the related nonlinearity parameter
9.1 Background to equivalent conicity
9.1.1 Mathematical description of the kinematic lateral wheelset motion
20 9.1.2 Determining the wavelength of a coned wheelset
21 9.2 Determining the equivalent conicity
9.3 Determining the nonlinearity parameter
22 10 Determining the rolling radii coefficient
10.1 Background and definition
24 10.2 Determining point E for the calculation of the rolling radii coefficient
25 11 Other wheel-rail contact parameters
26 12 Testing of calculation software for contact geometry parameters
12.1 Overview
12.2 Validation of the calculation algorithms
12.3 Assessment of the smoothing process
30 13 Assessment of the complete process for determination of wheel-rail contact parameters
13.1 General
13.2 Reproducibility of contact parameter determination based on rail profile measurement
13.2.1 Manual rail profile measuring devices
31 13.2.2 Vehicle based rail profile measuring systems
32 13.3 Reproducibility of contact parameter determination based on wheel profile measurement
13.3.1 Manual wheel profile measuring devices
13.3.2 Ground based wheel profile measuring systems
34 Annex A (informative)Example of presentation of contact geometry functions
35 Annex B (informative)Derivation of the kinematic equation of wheelset motion
38 Annex C (informative)Determination of the lateral peak displacements
40 Annex D (informative)Method for determining the wavelength of the wheelset motion by two-step integration of the nonlinear differential equation
D.1 General
D.2 Step 1
D.3 Step 2
42 Annex E (informative)Method for determining the wavelength of the wheelset motion by direct integration of the nonlinear differential equation
43 Annex F (informative)Method for determining the equivalent conicity by linear regression of the Δr function
F.1 General
F.2 Concerns regarding the method
45 Annex G (informative)Method for determining linearization parameters by harmonic linearization
G.1 General
46 G.2 Concerns regarding the method
47 Annex H (informative)Handling of special cases of the Δr function
50 Annex I (normative)Reference profiles for testing
I.1 General
51 I.2 Wheel A
I.2.1 Drawing
I.2.2 Analytic definition
52 I.2.3 Cartesian coordinates
54 I.3 Wheel B
I.3.1 Drawing
I.3.2 Analytic definition
55 I.3.3 Cartesian coordinates
57 I.4 Wheel C
I.4.1 Drawing
I.4.2 Analytic definition
58 I.4.3 Cartesian coordinates
60 I.5 Wheel H
I.5.1 Drawing
I.5.2 Analytic definition
61 I.5.3 Cartesian coordinates
63 I.6 Wheel I
I.6.1 Drawing
I.6.2 Analytic definition
64 I.6.3 Cartesian coordinates
66 I.7 Rail A
I.7.1 Drawing
I.7.2 Analytic definition
67 I.7.3 Cartesian coordinates
69 Annex J (normative)Calculation results with reference profiles
J.1 General
70 J.2 Wheel A/Rail A
J.2.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
71 J.2.2 Numerical values for Δr function
72 J.2.3 Numerical values for tanγe function
74 J.3 Wheel B/Rail A
J.3.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
75 J.3.2 Numerical values for Δr function
76 J.3.3 Numerical values for tanγe function
78 J.4 Wheel C/Rail A
J.4.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
79 J.4.2 Numerical values for Δr function
81 J.4.3 Numerical values for tanγe function
83 J.5 Wheel H/Rail A
J.5.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
84 J.5.2 Numerical values for Δr function
85 J.5.3 Numerical values for tanγe function
87 J.6 Wheel I/Rail A
J.6.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
88 J.6.2 Numerical values for Δr function
89 J.6.3 Numerical values for tanγe function
91 J.7 Modified Wheel A (−2 mm on left wheel diameter)/Rail A
J.7.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
92 J.7.2 Numerical values for Δr function
93 J.7.3 Numerical values for tanγe function
95 J.8 Modified Wheel B (−2 mm on left wheel diameter)/Rail A
J.8.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
96 J.8.2 Numerical values for Δr function
97 J.8.3 Numerical values for tanγe function
99 J.9 Modified Wheel H (−2 mm on left wheel diameter)/Rail A
J.9.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
100 J.9.2 Numerical values for Δr function
101 J.9.3 Numerical values for tanγe function
103 J.10 Modified Wheel I (−2 mm on left wheel diameter)/Rail A
J.10.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
104 J.10.2 Numerical values for Δr function
105 J.10.3 Numerical values for tanγe function
107 J.11 (Right Wheel A – Left Wheel B)/Rail A
J.11.1 Representation of contact points, diagrams of Δr, Δtanγ, tanγe functions and representation of kinematic rolling movement of the wheelset on track
108 J.11.2 Numerical values for Δr function
109 J.11.3 Numerical values for tanγe function
111 Annex K (normative)Tolerances on equivalent conicity for testing calculations
K.1 General
112 K.2 Wheel A/Rail A
K.2.1 Diagram
113 K.2.2 Numerical values
115 K.3 Wheel B/Rail A
K.3.1 Diagram
116 K.3.2 Numerical values
118 K.4 Wheel C/Rail A
K.4.1 Diagram
119 K.4.2 Numerical values
121 K.5 Wheel H/Rail A
K.5.1 Diagram
122 K.5.2 Numerical values
124 K.6 Wheel I/Rail A
K.6.1 Diagram
125 K.6.2 Numerical values
127 K.7 Modified Wheel A (−2 mm on left wheel diameter)/Rail A
K.7.1 Diagram
128 K.7.2 Numerical values
130 K.8 Modified Wheel B (−2 mm on left wheel diameter)/Rail A
K.8.1 Diagram
131 K.8.2 Numerical values
133 K.9 Modified Wheel H (−2 mm on left wheel diameter)/Rail A
K.9.1 Diagram
134 K.9.2 Numerical values
136 K.10 Modified Wheel I (−2 mm on left wheel diameter)/Rail A
K.10.1 Diagram
137 K.10.2 Numerical values
139 K.11 (Right Wheel A – Left Wheel B)/Rail A
K.11.1 Diagram
140 K.11.2 Numerical values

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BS EN 15302:2021
$215.11