1、BRITISH STANDARDBS ISO 16833:2006Road vehicles Wheels Measurement of radial and lateral run-outICS 43.040.50g49g50g3g38g50g51g60g44g49g42g3g58g44g55g43g50g56g55g3g37g54g44g3g51g40g53g48g44g54g54g44g50g49g3g40g59g38g40g51g55g3g36g54g3g51g40g53g48g44g55g55g40g39g3g37g60g3g38g50g51g60g53g44g42g43g55g3g
2、47g36g58BS ISO 16833:2006This British Standard was published under the authority of the Standards Policy and Strategy Committeeon 16 March 2006 BSI 16 March 2006ISBN 0 580 47034 2National forewordThis British Standard reproduces verbatim ISO 16833:2006 and implements it as the UK national standard.
3、The UK participation in its preparation was entrusted to Technical Committee AUE/4, Tyres and wheels for motor vehicles, which has the responsibility to: aid enquirers to understand the text; present to the responsible international/European committee any enquiries on the interpretation, or proposal
4、s for change, and keep UK interests informed; monitor related international and European developments and promulgate them in the UK.A list of organizations represented on this committee can be obtained on request to its secretary.Cross-referencesThe British Standards which implement international pu
5、blications referred to in this document may be found in the BSI Catalogue under the section entitled “International Standards Correspondence Index”, or by using the “Search” facility of the BSI Electronic Catalogue or of British Standards Online.This publication does not purport to include all the n
6、ecessary provisions of a contract. Users are responsible for its correct application. Compliance with a British Standard does not of itself confer immunity from legal obligations.Summary of pagesThis document comprises a front cover, an inside front cover, the ISO title page, pages ii and iii, a bla
7、nk page, pages 1 to 8, an inside back cover and a back cover.The BSI copyright notice displayed in this document indicates when the document was last issued.Amendments issued since publicationAmd. No. Date CommentsReference numberISO 16833:2006(E)INTERNATIONAL STANDARDISO16833First edition2006-02-15
8、Road vehicles Wheels Measurementof radial and lateral run-out Vhicules routiers Roues Mesurage du faux-rond et du voile BS ISO 16833:2006iiiiiForeword ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of prep
9、aring International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been established has the right to be represented on that committee. International organizations, governmental and non-governmental, in
10、liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization. International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2. The main task
11、of technical committees is to prepare International Standards. Draft International Standards adopted by the technical committees are circulated to the member bodies for voting. Publication as an International Standard requires approval by at least 75 % of the member bodies casting a vote. Attention
12、is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. ISO 16833 was prepared by Technical Committee ISO/TC 22, Road vehicles, Subcommittee SC 19, Wheels.BS ISO 16833
13、:2006blank1Road vehicles Wheels Measurement of radial and lateral run-out 1 Scope This International Standard defines criteria that characterize geometrical uniformity of wheels and describes principles of measurements of these criteria. 2 Normative references The following referenced documents are
14、indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. ISO 3911, Wheels and rims for pneumatic tyres Vocabulary, designation and markingISO 400
15、0-2, Passenger car tyres and rims Part 2: RimsISO 4209-2, Truck and bus tyres and rims (metric series) Part 2: RimsISO 4223-1, Definitions of some terms used in the tyre industry Part 1: Pneumatic tyres ISO 5751-3, Motorcycle tyres and rims (metric series) Part 3: Range of approved rim contoursISO 1
16、3326, Test methods for measuring tyre uniformityInternational vocabulary of basic and general terms in metrology (VIM), BIPM/IEC/IFCC/ISO/ IUPAC/IUPAP/IUML, 19933 Terms and definitions For the purposes of this document, the definitions given in ISO 4223-1, ISO 4000-2, ISO 4209-2, ISO 5751-3, ISO 391
17、1, ISO 13326, the International vocabulary of basic and general terms in metrology (VIM) and the following apply. 3.1radial run-out RROvariation over one revolution of the wheel of the distance X of the seat in question relative to the wheel rotation axis, in millimetres See Figure 1. 3.2lateral run
18、-out LROvariation over one revolution of the wheel of the distance Y of the rim flange in question relative to a fixed reference plane perpendicular to the wheel rotation axis, in millimetres See Figure 1. BS ISO 16833:2006BS ISO 16833:20062 NOTE The values of the radial and lateral run-out are alge
19、braic (with a + or Sign). Dimensions in millimetres a) Radial run-out b) Lateral run-out Key 1 wheel rotation axis 2 fixed reference plane perpendicular to the wheel rotation axis RRO radial run-out LRO lateral run-out X distance of the seat relative to the wheel rotation axis Y distance of the rim
20、flange relative to a fixed reference plane perpendicular to the wheel rotation axis Figure 1 Radial and lateral run-out BS ISO 16833:200633.3 uniformity constant value of any characteristics of the wheel in phase and magnitude both in static and in dynamic conditions around the circumference NOTE Un
21、iformity is concerned with axisymmetry of mass distribution, geometry and forces generated when the solid is in motion. The lack of uniformity in a wheel, when it is rotating around its axis, causes variation of forces, which may vary with the angular speed and are applied to the said axis. 3.4 peak
22、-to-peak difference between the maximum and the minimum values of the measurement signal during one revolution 3.5 first harmonic peak-to-peak amplitude of the fundamental frequency component of the Fourier transform representing the variation NOTE The frequency of first harmonic is equal to the fre
23、quency of rotation. 3.6 second (and higher order) harmonic peak-to-peak amplitude of the second (or higher order) frequency of the Fourier transform representing the variation 4 Principles of measurement 4.1 Datums Datums for each measurement shall be as follows. 4.1.1 Axis of rotation centre hole p
24、iloted wheel For wheels which are centred by the centre hole on the vehicle hub, the axis of rotation is the centre hole axis defined at the wheel plane of the axis of the maximum inscribed cylinder. 4.1.2 Wheel attachment face The wheel attachment face is the hub bearing surface plane P (see Figure
25、 2) of the wheel plane (bearing plane of the wheel on the vehicle hub). 4.1.3 Axis of rotation of nut seat piloted wheel For wheels which are centred by the fasteners nut seats, the axis of rotation is the pitch circle axis defined by the implantation of the fasteners nut seats (see Figure 2). 4Key
26、1 bolt holes 2 fitting system 3 plane P 4 pitch circle diameter defined by the implantation of the fasteners nut seats aWheel rotation axis. bRotation axis. Figure 2 Wheel attachment face and nut seat piloted wheel rotation axis 4.2 Taking measurements For each of the rim seats, the measurements are
27、 defined by the contact points, over a wheel revolution, of a sphere of radius R while maintaining continuous contact on the seat and against the rim flange of the wheel. Except where indicated otherwise on the drawing, the radius R of the sphere shall be 8 r 0,2 mm. Contact points on the seat measu
28、rement X. Contact points on the rim flange measurement Y. 4.3 Measuring In practice, the radial run-out or lateral run-out signal, over the wheel revolution, is made up of the measurement of a large number of points on each seat (128 points min.). See principle of measurement diagram (Figure 3). As
29、the values are algebraic, the diagram sets out for each seat the directions giving the signification +/.BS ISO 16833:20065Key 1 rim axis 2 attachment face 3 flange wall 4 centre hole 5 wheel rotation axisX radial run-out Y lateral run-out aOuter. bInner.Figure 3 Diagram of principle of measurement 5
30、 Criteria specifying the radial run-out and the lateral run-out 5.1 Principle of harmonic decomposition Considering X or Y as a function of the angular position T of the measuring point, it can be expressed in the form of a Fourier series and values read over 360 developed as follows: X(T) X0+ X1cos
31、(T + I1) + X2cos(2T + I2) + + Xncos(nT + In) Y(T) Y0+ Y1cos(T + I1) + Y2cos(2T + I2) + + Yncos(nT + In)See Figure 4 (example for X).BS ISO 16833:20066The value of each harmonic is given by the following expressions: H0 X0or Y0 H1 X1u 2 or Y1u 2 H2 X2u 2 or Y2u 2 Hn Xnu 2 or Ynu 2 See Figure 5. 5.2 D
32、efinition of average X and YDetermine the average X and Y using the following formulas: X on Outer seat XOUTY on Outer seat YOUT X on Inner seat XINY on Inner seat YIN Average X XMAverage Y YMINOUTM() ()()2XXXTTT INOUTM() ()()2YYYTTT See Figure 6 (example for average X).5.3 Criteria specification of
33、 radial run-out and lateral run-out Determine the following criteria based on the results obtained in 5.1 and 5.2. 5.3.1 Peak-to-peak Peak-to-peak is the difference between the maximum value and the minimum value of the function XIN(T),XOUT(T) and XM(T) or YIN(T), YOUT(T) and YM(T) in question. 5.3.
34、2 Harmonic 1, 2, nHarmonic 1, 2, n is the amplitude of the harmonic of rank 1, 2, n in the expression XIN(T), XOUT(T) and XM(T) or YIN(T), YOUT(T) and YM(T) in question, according to the formulas in 5.1. 5.3.3 Low and high point of harmonic 1 Low point is the location on a wheel at which the minimum
35、 value of the first harmonic occurs (see Figure 4, point A). High point is the location on a wheel at which the maximum value of the first harmonic occurs (see Figure 4, point B). BS ISO 16833:20067Key 1 first harmonic (calculated) 2 point B (high point) 3 initial signal (measured) 4 second harmonic
36、 (calculated) 5 point A (low point) X angle () Y X (mm) Figure 4 Graphic representation of the harmonic decomposition of XFigure 5 Geometric representation of the harmonics BS ISO 16833:20068X angle () Y X (mm) Figure 6 Graphic representation of the average XMBS ISO 16833:2006blankBS ISO BSI389 Chis
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