1、raising standards worldwideNO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAWBSI Standards PublicationBS EN ISO 12181-2:2011Geometrical pr o d u c t specifications (GPS) RoundnessPart 2: Specification operatorsBS EN ISO 12181-2:2011 BRITISH STANDARDNational forewordThis British S
2、tandard is the UK implementation of EN ISO 12181-2:2011. It supersedes DD CEN ISO/TS 12181-2:2007, which is withdrawn.The UK participation in its preparation was entrusted to T e c h n i c a l C o m m i t t e e T D W / 4 , T e c h n i c a l P r o d u c t R e a l i z a t i o n .A list of organization
3、s represented on this committee can be obtained on request to its secretary.This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. BSI 2011 ISBN 978 0 580 66723 7 ICS 17.040.20 Compliance with a British Standard can
4、not confer immunity from legal obligations.This British Standard was published under the authority of the Standards Policy and Strategy Committee on 30 April 2011.Amendments issued since publicationDate T e x t a f f e c t e dEUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 12181-2 April 201
5、1 ICS 17.040.20 Supersedes CEN ISO/TS 12181-2:2007English Version Geometrical product specifications (GPS) - Roundness - Part 2: Specification operators (ISO 12181-2:2011) Spcification gomtrique des produits (GPS) - Circularit -Partie 2: Oprateurs de spcification (ISO 12181-2:2011 )Geometrische Prod
6、uktspezifikation (GPS) - Rundheit - Teil 2: Spezifikationsoperatoren (ISO 12181-2:2011) This European Standard was approved by CEN on 17 March 2011. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status o
7、f a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN member. This European Standard exists in three official versions (English, French, German
8、). A version in any other language made by translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management Centre has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia,
9、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 STANDARDIZATIO
10、N COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG Management Centre: Avenue Marnix 17, B-1000 Brussels 2011 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN ISO 12181-2:2011: EBS EN ISO 12181-2:2011 EN ISO 12181-2:2011
11、 (E) 3 Foreword This document (EN ISO 12181-2:2011) has been prepared by Technical Committee ISO/TC 213 “Dimensional and geometrical product specifications and verification“ in collaboration with Technical Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the
12、secretariat of which is held by AFNOR. This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by October 2011, and conflicting national standards shall be withdrawn at the latest by October 2011. Attention
13、is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. This document supersedes CEN ISO/TS 12181-2:2007. According to the CEN/CENELEC Internal Regulati
14、ons, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta,
15、 Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and the United Kingdom. Endorsement notice The text of ISO 12181-2:2011 has been approved by CEN as a EN ISO 12181-2:2011 without any modification. BS EN ISO 12181-2:2011ISO 12181-2:2011(E) ISO 2011 All r
16、ights reserved iiiContents Page Foreword iv Introduction.v 1 Scope1 2 Normative references1 3 Terms and definitions .1 4 Complete specification operator .1 4.1 General .1 4.2 Transmission band2 4.3 Probing system4 5 Compliance with specification.4 Annex A (informative) Harmonic content of nominally
17、round workpiece.5 Annex B (informative) Relationship to the GPS matrix model .7 Bibliography9 BS EN ISO 12181-2:2011ISO 12181-2:2011(E) iv ISO 2011 All rights reservedForeword ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member
18、bodies). The work of preparing 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
19、and non-governmental, in 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 Directive
20、s, Part 2. The main task 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 c
21、asting a vote. Attention 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 12181-2 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrica
22、l product specifications and verification. This first edition of ISO 12181-2 cancels and replaces ISO/TS 12181-2:2003, which has been technically revised. ISO 12181 consists of the following parts, under the general title Geometrical product specifications (GPS) Roundness: Part 1: Vocabulary and par
23、ameters of roundness Part 2: Specification operators BS EN ISO 12181-2:2011ISO 12181-2:2011(E) ISO 2011 All rights reserved vIntroduction This part of ISO 12181 is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard (see ISO/TR 14638). It influences cha
24、in link 3 of the chain of standards on form of line independent of datum. The ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which this document is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this document and the default decision rules gi
25、ven in ISO 14253-1 apply to specifications made in accordance with this document, unless otherwise indicated. For more detailed information on the relationship of this part of ISO 12181 to other standards and the GPS matrix model, see Annex B. This part of ISO 12181 specifies the specification opera
26、tors according to ISO 17450-2 for roundness of integral features. This part of ISO 12181 does not specify defaults for filter UPR, probe tip radius and method of association (reference circle). This means that it is necessary for a roundness specification to explicitly state which values are to be u
27、sed for these specification operations in order for it to be unique. Consequently, if a specification does not explicitly state which values are to be used for one or more of these operators, the specification is ambiguous (see ISO 17450-2) and a supplier can use any value for the operator(s) not sp
28、ecified when proving conformance. Extracting data always involves applying a certain filtering process. An additional filtering of the extracted data might or might not be applied. This additional filter can be a mean line filter (Gaussian, spline, wavelet, etc.) or a non-linear filter (e.g. morphol
29、ogical filter). The type of filtering influences the definition of roundness and the specification operators and, therefore, needs to be stated unambiguously. NOTE 1 Stylus filtering is not sufficient on its own to smooth a profile. In certain circumstances, it can create spurious high-frequency con
30、tent, thus giving incorrect values. To correct this, a longwave pass filter is employed. A Gaussian filter is used, since this is the state-of-the-art. This filter has some shortcomings, e.g. it can distort, rather than eliminate some roughness features and it can distort, rather than transmit corre
31、ctly some waviness features. It is envisioned that new filters under development within ISO provide better solutions for several of these issues. NOTE 2 If a smaller tip radius than the one specified is used for a given cut-off length, the resulting measured value is generally higher. This effect is
32、 usually insignificant. If a larger tip radius is used, the resulting measured value is generally lower. The amount of change is heavily dependent on the surface measured. NOTE 3 The measuring force of zero N is chosen to eliminate effects of elastic deformation of the workpiece from the specificati
33、on operator. On metal surfaces with adequate thickness, the effect of normally occurring measuring forces is negligible. NOTE 4 Aliasing and other problems during extraction (see Annex A) due to the higher harmonic content of the skin model, in the roundness directions, can cause specification uncer
34、tainty. This part of ISO 12181 is not intended to disallow any means of measuring roundness. BS EN ISO 12181-2:2011BS EN ISO 12181-2:2011INTERNATIONAL STANDARD ISO 12181-2:2011(E) ISO 2011 All rights reserved 1Geometrical product specifications (GPS) Roundness Part 2: Specification operators 1 Scope
35、 This part of ISO 12181 specifies the complete specification operator for roundness of integral features only and covers complete roundness profiles only, i.e. geometrical characteristics of features of the type circle. 2 Normative references The following referenced documents are indispensable for
36、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 11562:1996, Geometrical Product Specifications (GPS) Surface texture: Profile method Metrological char
37、acteristics of phase correct filters ISO 12181-1:2011, Geometrical product specifications (GPS) Roundness Part 1: Vocabulary and parameters of roundness ISO 14253-1:1998, Geometrical Product Specifications (GPS Inspection by measurement of workpieces and measuring equipment Part 1: Decision rules fo
38、r proving conformance or non-conformance with specifications ISO 17450-2:20111), Geometrical product specifications (GPS) General concepts Part 2: Basic tenets, specifications, operators and uncertainties 3 Terms and definitions For the purposes of this document, the terms and definitions given in I
39、SO 12181-1 and ISO 17450-2 apply. 4 Complete specification operator 4.1 General The complete specification operator (see ISO 17450-2) is a full ordered set of unambiguous specification operations in a well-defined order. The complete specification operator defines the transmission band for the round
40、ness profile, together with an appropriate stylus tip geometry. 1) To be published. (Revision of ISO/TS 17450-2:2002) BS EN ISO 12181-2:2011ISO 12181-2:2011(E) 2 ISO 2011 All rights reserved4.2 Transmission band 4.2.1 Longwave-pass filter The longwave-pass filter shall be a phase correct filter (in
41、accordance with ISO 11562), transmitting waves from 1 UPR and attenuating profile undulations progressively in the undulation region around the cut-off frequency (in UPR) (see Figure 1). Key X undulations per revolution (UPR) Y transmission NOTE Other filter values than those shown in this figure ca
42、n be used, if necessary for the application. Figure 1 Transmission characteristic for longwave-pass filter having cut-off frequencies fc= 15 UPR; 50 UPR; 150 UPR; 500 UPR; 1 500 UPR The attenuation function is given by Equation (1): 2c10ffaea= (1) where ()ln 20,469 7 =a0is the amplitude of sine wave
43、 undulation before filtering; a1is the amplitude of this sine wave undulation after filtering; fcis the cut-off frequency, in undulations per revolution, of the longwave-pass filter; f is the frequency of the sine wave, in undulations per revolution. BS EN ISO 12181-2:2011ISO 12181-2:2011(E) ISO 201
44、1 All rights reserved 34.2.2 Shortwave-pass filter The shortwave-pass filter shall be a phase correct filter (in accordance with ISO 11562), attenuating waves from 1 UPR up to the cut-off frequency (in UPR). It transmits undulations shorter than the cut-off frequency (in UPR) (see Figure 2). Key X u
45、ndulations per revolution (UPR) Y transmission NOTE Other filter values than those shown in this figure can be used, if necessary for the application. Figure 2 Transmission characteristic for shortwave-pass filter having cut-off frequencies fc= 15 UPR; 50 UPR; 150 UPR The attenuation function is giv
46、en by Equation (2): 2c021ffaea= (2) where ()ln 20,469 7 =a0is the amplitude of sine wave undulation before filtering; a2is the amplitude of this sine wave after filtering; fcis the cut-off frequency, in undulations per revolution, of the longwave-pass filter; f is the frequency of the sine wave, in
47、undulations per revolution. BS EN ISO 12181-2:2011ISO 12181-2:2011(E) 4 ISO 2011 All rights reserved4.2.3 Limiting UPR values The wave filter determines the range of periodic sinusoidal undulations per revolution (UPR) of the feature included in the roundness assessment. The range is terminated by v
48、alues taken from Table 1. Table 1 also gives the minimum number of sample points that shall be used for the extracted circumferential line and the minimum ratio between the feature diameter and the tip radius (d:r) needed to avoid distortion of the roundness profile from the influence of the stylus
49、tip. Table 1 Limiting values of UPR Longwave-pass filters Filter transmitting from 1 UPR to Minimum number of sample points Minimum d:r ratioa15 105 5 50 350 15 150 1 050 50 500 3 500 150 1 500 10 500 500 aThe d:r ratio is the ratio between the diameter, d, of the reference circle and the radius, r, of the stylus tip. If the d:r ratio is less than the value stated, the high UPR undulations of the feature within the transmission band are distorted by the influence of the stylus tip. If a sh
