{"id":385136,"date":"2024-10-20T03:29:16","date_gmt":"2024-10-20T03:29:16","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/bs-en-153022021\/"},"modified":"2024-10-26T06:19:22","modified_gmt":"2024-10-26T06:19:22","slug":"bs-en-153022021","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/bsi\/bs-en-153022021\/","title":{"rendered":"BS EN 15302:2021"},"content":{"rendered":"

This document establishes definitions and evaluation methods for wheel-rail contact geometry parameters influencing the vehicle running dynamic behaviour:<\/p>\n

    \n
  1. \n

    the rolling radius difference between the two wheels of a wheelset (? r<\/i>-function) which serves as a basis for all further calculations;<\/p>\n<\/li>\n

  2. \n

    the equivalent conicity function from which are derived:<\/p>\n

      \n
    1. \n

      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<\/span><\/span> ;<\/p>\n<\/li>\n

    2. \n

      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;<\/p>\n<\/li>\n<\/ol>\n<\/li>\n

    3. \n

      the rolling radii coefficient which is used to describe the theoretical radial steering capability of a wheelset in a curved track.<\/p>\n<\/li>\n<\/ol>\n

      Additional information is given about the relationship between the contact angles of the two wheels of a wheelset (?tan?<\/i>-function) and about the roll angle parameter.<\/p>\n

      \n
      \n NOTE\n <\/div>\n

      Out of the presented parameters only those related to the contact angle are relevant for independently rotating wheels of wheel pairs.<\/p>\n<\/div>\n

      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.<\/p>\n

      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.<\/p>\n

      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.<\/p>\n

      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.<\/p>\n

      For the application of this document some general recommendations are given.<\/p>\n

      PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
      2<\/td>\nundefined <\/td>\n<\/tr>\n
      11<\/td>\n1 Scope
      2 Normative references <\/td>\n<\/tr>\n
      12<\/td>\n3 Terms and definitions <\/td>\n<\/tr>\n
      13<\/td>\n4 Symbols and abbreviations <\/td>\n<\/tr>\n
      14<\/td>\n5 Overview of the process for determining contact parameters
      6 Description of wheel and rail profiles
      6.1 General <\/td>\n<\/tr>\n
      16<\/td>\n6.2 Uncertainty of the measuring systems <\/td>\n<\/tr>\n
      17<\/td>\n7 Plausibility check and processing of measured wheel and rail profiles <\/td>\n<\/tr>\n
      18<\/td>\n8 Determining the wheel-rail contact positions and contact functions
      8.1 General
      8.2 Determining the rolling radius difference function <\/td>\n<\/tr>\n
      19<\/td>\n8.3 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 <\/td>\n<\/tr>\n
      20<\/td>\n9.1.2 Determining the wavelength of a coned wheelset <\/td>\n<\/tr>\n
      21<\/td>\n9.2 Determining the equivalent conicity
      9.3 Determining the nonlinearity parameter <\/td>\n<\/tr>\n
      22<\/td>\n10 Determining the rolling radii coefficient
      10.1 Background and definition <\/td>\n<\/tr>\n
      24<\/td>\n10.2 Determining point E for the calculation of the rolling radii coefficient <\/td>\n<\/tr>\n
      25<\/td>\n11 Other wheel-rail contact parameters <\/td>\n<\/tr>\n
      26<\/td>\n12 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 <\/td>\n<\/tr>\n
      30<\/td>\n13 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 <\/td>\n<\/tr>\n
      31<\/td>\n13.2.2 Vehicle based rail profile measuring systems <\/td>\n<\/tr>\n
      32<\/td>\n13.3 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 <\/td>\n<\/tr>\n
      34<\/td>\nAnnex A (informative)Example of presentation of contact geometry functions <\/td>\n<\/tr>\n
      35<\/td>\nAnnex B (informative)Derivation of the kinematic equation of wheelset motion <\/td>\n<\/tr>\n
      38<\/td>\nAnnex C (informative)Determination of the lateral peak displacements <\/td>\n<\/tr>\n
      40<\/td>\nAnnex 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 <\/td>\n<\/tr>\n
      42<\/td>\nAnnex E (informative)Method for determining the wavelength of the wheelset motion by direct integration of the nonlinear differential equation <\/td>\n<\/tr>\n
      43<\/td>\nAnnex F (informative)Method for determining the equivalent conicity by linear regression of the \u0394r function
      F.1 General
      F.2 Concerns regarding the method <\/td>\n<\/tr>\n
      45<\/td>\nAnnex G (informative)Method for determining linearization parameters by harmonic linearization
      G.1 General <\/td>\n<\/tr>\n
      46<\/td>\nG.2 Concerns regarding the method <\/td>\n<\/tr>\n
      47<\/td>\nAnnex H (informative)Handling of special cases of the \u0394r function <\/td>\n<\/tr>\n
      50<\/td>\nAnnex I (normative)Reference profiles for testing
      I.1 General <\/td>\n<\/tr>\n
      51<\/td>\nI.2 Wheel A
      I.2.1 Drawing
      I.2.2 Analytic definition <\/td>\n<\/tr>\n
      52<\/td>\nI.2.3 Cartesian coordinates <\/td>\n<\/tr>\n
      54<\/td>\nI.3 Wheel B
      I.3.1 Drawing
      I.3.2 Analytic definition <\/td>\n<\/tr>\n
      55<\/td>\nI.3.3 Cartesian coordinates <\/td>\n<\/tr>\n
      57<\/td>\nI.4 Wheel C
      I.4.1 Drawing
      I.4.2 Analytic definition <\/td>\n<\/tr>\n
      58<\/td>\nI.4.3 Cartesian coordinates <\/td>\n<\/tr>\n
      60<\/td>\nI.5 Wheel H
      I.5.1 Drawing
      I.5.2 Analytic definition <\/td>\n<\/tr>\n
      61<\/td>\nI.5.3 Cartesian coordinates <\/td>\n<\/tr>\n
      63<\/td>\nI.6 Wheel I
      I.6.1 Drawing
      I.6.2 Analytic definition <\/td>\n<\/tr>\n
      64<\/td>\nI.6.3 Cartesian coordinates <\/td>\n<\/tr>\n
      66<\/td>\nI.7 Rail A
      I.7.1 Drawing
      I.7.2 Analytic definition <\/td>\n<\/tr>\n
      67<\/td>\nI.7.3 Cartesian coordinates <\/td>\n<\/tr>\n
      69<\/td>\nAnnex J (normative)Calculation results with reference profiles
      J.1 General <\/td>\n<\/tr>\n
      70<\/td>\nJ.2 Wheel A\/Rail A
      J.2.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      71<\/td>\nJ.2.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      72<\/td>\nJ.2.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      74<\/td>\nJ.3 Wheel B\/Rail A
      J.3.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      75<\/td>\nJ.3.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      76<\/td>\nJ.3.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      78<\/td>\nJ.4 Wheel C\/Rail A
      J.4.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      79<\/td>\nJ.4.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      81<\/td>\nJ.4.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      83<\/td>\nJ.5 Wheel H\/Rail A
      J.5.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      84<\/td>\nJ.5.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      85<\/td>\nJ.5.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      87<\/td>\nJ.6 Wheel I\/Rail A
      J.6.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      88<\/td>\nJ.6.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      89<\/td>\nJ.6.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      91<\/td>\nJ.7 Modified Wheel A (\u22122 mm on left wheel diameter)\/Rail A
      J.7.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      92<\/td>\nJ.7.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      93<\/td>\nJ.7.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      95<\/td>\nJ.8 Modified Wheel B (\u22122 mm on left wheel diameter)\/Rail A
      J.8.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      96<\/td>\nJ.8.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      97<\/td>\nJ.8.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      99<\/td>\nJ.9 Modified Wheel H (\u22122 mm on left wheel diameter)\/Rail A
      J.9.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      100<\/td>\nJ.9.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      101<\/td>\nJ.9.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      103<\/td>\nJ.10 Modified Wheel I (\u22122 mm on left wheel diameter)\/Rail A
      J.10.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      104<\/td>\nJ.10.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      105<\/td>\nJ.10.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      107<\/td>\nJ.11 (Right Wheel A \u2013 Left Wheel B)\/Rail A
      J.11.1 Representation of contact points, diagrams of \u0394r, \u0394tan\u03b3, tan\u03b3e functions and representation of kinematic rolling movement of the wheelset on track <\/td>\n<\/tr>\n
      108<\/td>\nJ.11.2 Numerical values for \u0394r function <\/td>\n<\/tr>\n
      109<\/td>\nJ.11.3 Numerical values for tan\u03b3e function <\/td>\n<\/tr>\n
      111<\/td>\nAnnex K (normative)Tolerances on equivalent conicity for testing calculations
      K.1 General <\/td>\n<\/tr>\n
      112<\/td>\nK.2 Wheel A\/Rail A
      K.2.1 Diagram <\/td>\n<\/tr>\n
      113<\/td>\nK.2.2 Numerical values <\/td>\n<\/tr>\n
      115<\/td>\nK.3 Wheel B\/Rail A
      K.3.1 Diagram <\/td>\n<\/tr>\n
      116<\/td>\nK.3.2 Numerical values <\/td>\n<\/tr>\n
      118<\/td>\nK.4 Wheel C\/Rail A
      K.4.1 Diagram <\/td>\n<\/tr>\n
      119<\/td>\nK.4.2 Numerical values <\/td>\n<\/tr>\n
      121<\/td>\nK.5 Wheel H\/Rail A
      K.5.1 Diagram <\/td>\n<\/tr>\n
      122<\/td>\nK.5.2 Numerical values <\/td>\n<\/tr>\n
      124<\/td>\nK.6 Wheel I\/Rail A
      K.6.1 Diagram <\/td>\n<\/tr>\n
      125<\/td>\nK.6.2 Numerical values <\/td>\n<\/tr>\n
      127<\/td>\nK.7 Modified Wheel A (\u22122 mm on left wheel diameter)\/Rail A
      K.7.1 Diagram <\/td>\n<\/tr>\n
      128<\/td>\nK.7.2 Numerical values <\/td>\n<\/tr>\n
      130<\/td>\nK.8 Modified Wheel B (\u22122 mm on left wheel diameter)\/Rail A
      K.8.1 Diagram <\/td>\n<\/tr>\n
      131<\/td>\nK.8.2 Numerical values <\/td>\n<\/tr>\n
      133<\/td>\nK.9 Modified Wheel H (\u22122 mm on left wheel diameter)\/Rail A
      K.9.1 Diagram <\/td>\n<\/tr>\n
      134<\/td>\nK.9.2 Numerical values <\/td>\n<\/tr>\n
      136<\/td>\nK.10 Modified Wheel I (\u22122 mm on left wheel diameter)\/Rail A
      K.10.1 Diagram <\/td>\n<\/tr>\n
      137<\/td>\nK.10.2 Numerical values <\/td>\n<\/tr>\n
      139<\/td>\nK.11 (Right Wheel A \u2013 Left Wheel B)\/Rail A
      K.11.1 Diagram <\/td>\n<\/tr>\n
      140<\/td>\nK.11.2 Numerical values <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

      Railway applications. Wheel-rail contact geometry parameters. Definitions and methods for evaluation<\/b><\/p>\n\n\n\n\n
      Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
      BSI<\/b><\/a><\/td>\n2021<\/td>\n144<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":385145,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[255,2641],"product_tag":[],"class_list":{"0":"post-385136","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-17-040-20","7":"product_cat-bsi","9":"first","10":"instock","11":"sold-individually","12":"shipping-taxable","13":"purchasable","14":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/385136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/385145"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=385136"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=385136"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=385136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}