1、raising standards worldwideNO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAWBSI Standards PublicationBS EN ISO 12180-2:2011Geometrical pr o d u c tspecifications (GPS) CylindricityPart 2: Specification operatorsBS EN ISO 12180-2:2011 BRITISH STANDARDNational forewordThis British
2、 Standard is the UK implementation of EN ISO 12180-2:2011. It supersedes DD CEN ISO/TS 12180-2:2007,which is withdrawn.The UK participation in its preparation was entrusted to T e c h n i c a l C o m m i t t e e T D W / 4 , T e c h n i c a l P r o d u c t R e a l i z a t i o n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 organizatio
3、ns 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 66721 3 ICS 17.040.20 Compliance with a British Standard ca
4、nnot 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 12180-2 April 20
5、11 ICS 17.040.20 Supersedes CEN ISO/TS 12180-2:2007English Version Geometrical product specifications (GPS) - Cylindricity - Part 2: Specification operators (ISO 12180-2:2011) Spcification gomtrique des produits (GPS) - Cylindricit - Partie 2: Oprateurs de spcification (ISO 12180-2:2011)Geometrische
6、 Produktspezifikation (GPS) - Zylindrizitt - Teil 2: Spezifikationsoperatoren (ISO 12180-2:2011) This European Standard was approved by CEN on 26 February 2011. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard
7、the status of 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, Fr
8、ench, German). 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, Bulgari
9、a, Croatia, 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 ST
10、ANDARDIZATION 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 12180-2:2011: EBS EN ISO 12180-2:2011 EN ISO
11、12180-2:2011 (E) 3 Foreword This document (EN ISO 12180-2:2011) 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 verifi
12、cation” the 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
13、. Attention 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 12180-2:2007. According to the CEN/CENELEC Inter
14、nal Regulations, 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, Luxemb
15、ourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and the United Kingdom. Endorsement notice The text of ISO 12180-2:2011 has been approved by CEN as a EN ISO 12180-2:2011 without any modification. BS EN ISO 12180-2:2011ISO 12180-2:2011(E) IS
16、O 2011 All rights reserved iiiContents Page Foreword iv Introduction.v 1 Scope1 2 Normative references1 3 Terms and definitions .1 4 Complete specification operator .2 4.1 General .2 4.2 Probing system2 5 Compliance with the specification 2 Annex A (informative) Harmonic content of nominally cylindr
17、ical workpiece and extraction strategy.3 Annex B (informative) Extraction strategies 7 Annex C (informative) Relationship to the GPS matrix model .10 Bibliography12 BS EN ISO 12180-2:2011ISO 12180-2:2011(E) iv ISO 2011 All rights reservedForeword ISO (the International Organization for Standardizati
18、on) is a worldwide federation of national standards bodies (ISO member 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 re
19、presented on that committee. International organizations, governmental 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
20、are drafted in accordance with the rules given in the ISO/IEC Directives, 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 Internati
21、onal Standard requires approval by at least 75 % of the member bodies casting 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 12180-2 was
22、 prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product specifications and verification. This first edition of ISO 12180-2 cancels and replaces ISO/TS 12180-2:2003, which has been technically revised. ISO 12180 consists of the following parts, under the general title Geometr
23、ical product specifications (GPS) Cylindricity: Part 1: Vocabulary and parameters of cylindrical form Part 2: Specification operators BS EN ISO 12180-2:2011ISO 12180-2:2011(E) ISO 2011 All rights reserved vIntroduction This part of ISO 12180 is a geometrical product specification (GPS) standard and
24、is to be regarded as a general GPS standard (see ISO/TR 14638). It influences chain link 3 of the chain of standards on form of a surface (independent of a datum). The ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which this part of ISO 12180 is a part. The fund
25、amental rules of ISO/GPS given in ISO 8015 apply to this part of ISO 12180 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this part of ISO 12180, unless otherwise indicated. For more detailed information on the relationship of this part of ISO 121
26、80 to other standards and the GPS matrix model, see Annex C. This part of ISO 12180 specifies the specification operators according to ISO 17450-2 for cylindricity of integral features. At the time of publication of this part of ISO 12180, ISO/TC 213 has not been able to reach consensus on defaults
27、for filter undulation per revolution (UPR), probe tip radius and method of association (reference cylinder). This means that it is necessary for a cylindricity specification to explicitly state which values are intended for use with these specification operations in order for it to be unique. Conseq
28、uently, 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 specified when proving conformance. Extracting data always involves applying
29、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. morphological filter). The type of filtering influences the definition of cylindri
30、city 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 content, thus giving incorrect values. To correct this, a longwave pass fil
31、ter is employed. A Gaussian filter is used, since this is the state-of-the-art in International Standards. This filter has some shortcomings, e.g. it can distort, rather than eliminate some roughness features and it can distort, rather than transmit correctly some waviness features. It is envisioned
32、 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 usually insignificant. If a larger tip radiu
33、s 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 0 N is chosen to eliminate effects of elastic deformation of the workpiece from the specification operator. On metal surfaces with adequate thi
34、ckness, 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 and straightness directions, can cause specification uncertainty. This part of ISO 12180
35、is not intended to disallow any means of measuring cylindricity. BS EN ISO 12180-2:2011BS EN ISO 12180-2:2011INTERNATIONAL STANDARD ISO 12180-2:2011(E) ISO 2011 All rights reserved 1Geometrical product specifications (GPS) Cylindricity Part 2: Specification operators 1 Scope This part of ISO 12180 s
36、pecifies the complete specification operator for cylindricity of complete integral features only, i.e. geometrical characteristics of features of type cylinder. 2 Normative references The following referenced documents are indispensable for the application of this document. For dated references, onl
37、y 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 characteristics of phase correct filters ISO 12180-1:2011, Geom
38、etrical product specifications (GPS) Cylindricity Part 1: Vocabulary and parameters of cylindrical form ISO 12181-1:2011, Geometrical product specifications (GPS) Roundness Part 1: Vocabulary and parameters of roundness ISO 12780-1:2011, Geometrical product specifications (GPS) Straightness Part 1:
39、Vocabulary and parameters of straightness ISO 14253-1:1998, Geometrical Product Specifications (GPS) Inspection by measurement of workpieces and measuring equipment Part 1: Decision rules for proving conformance or non-conformance with specifications ISO 17450-2:1), Geometrical product specification
40、s (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 ISO 11562, ISO 12180-1, ISO 12181-1, ISO 12780-1 and ISO 17450-2 apply. 1) To be published. (Revision of ISO/TS 174
41、50-2:2002) BS EN ISO 12180-2:2011ISO 12180-2:2011(E) 2 ISO 2011 All rights reserved4 Complete specification operator 4.1 General The complete specification operator (as defined in ISO 17450-2) is a full ordered set of unambiguous specification operations in a well-defined order. The complete specifi
42、cation operator defines the transmission band for the cylindricity surface, together with an appropriate stylus tip geometry. NOTE In practice, it is unrealistic to hope to achieve comprehensive coverage of the cylindrical feature given by the theoretical minimum density of points (see Annex B) with
43、in an acceptable time span using available technology. Therefore, more limited extraction strategies are employed that give specific, rather than general, information concerning the deviations from cylindrical form. 4.2 Probing system 4.2.1 Probing method A contacting probing system with a stylus ti
44、p, as defined in 4.2.2, is part of the specification operator. 4.2.2 Stylus tip geometry The theoretically exact stylus tip geometry is a sphere. 4.2.3 Probing force The probing force is 0 N. 5 Compliance with the specification For proving conformance or non-conformance with the specification, ISO 1
45、4253-1 applies. BS EN ISO 12180-2:2011ISO 12180-2:2011(E) ISO 2011 All rights reserved 3Annex A (informative) Harmonic content of nominally cylindrical workpiece and extraction strategy A.1 Harmonic content A finite length signal can be decomposed into a number of sinusoidal components called a Four
46、ier series. A Fourier series consists of a fundamental sinusoid whose wavelength is the length of the signal and harmonic sinusoids, whose wavelengths divide into the fundamental wavelength a whole number of times. The fundamental sinusoid is called the first harmonic of the signal. The sinusoid who
47、se wavelength is half the fundamental wavelength is called the second harmonic. The sinusoid whose wavelength is one third the fundamental wavelength is called the third harmonic, and so on (see Figure A.1). Thus, the nth harmonic is that sinusoid whose wavelength divides into the fundamental wavele
48、ngth exactly n times. a) First harmonic b) Second harmonic c) Third harmonic Figure A.1 First three harmonics of a signal A generatrix profile can be decomposed into its harmonic components in this manner. A roundness profile is slightly different in that the signals start and end are joined togethe
49、r. Here, the fundamental wavelength of the Fourier series is the circumference of the circle or one undulation per revolution (UPR). The harmonics consist of the higher undulations per revolution (e.g. the second harmonic is the 2 UPR, the third harmonic is the 3 UPR, etc.). BS EN ISO 12180-2:2011ISO 12180-2:2011(E) 4 ISO 2011 All rights reservedAll of the above-mentioned signals decomposed into Fourier series are profiles, whereas the surface of a cylinder is an area. An area can be thought of as the comb
