1、raising standards worldwideNO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAWBSI Standards PublicationBS EN ISO 12781-1:2011Geometrical pr o d u c t specifications (GPS) FlatnessPart 1: Vocabulary and parameters of flatnessBS EN ISO 12781-1:2011 BRITISH STANDARDNational forewordT
2、his British Standard is the UK implementation of EN ISO 12781-1:2011. It supersedes DD CEN ISO/TS 12781-1:2007, which is withdrawn.The UK participation in its preparation was entrusted to T e c h n i c a l C o m m i t t e e T D W / 4 , T e c h n i c a l P r o d u c t R e a l i z a t i o n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
3、 organizations 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 66726 8 ICS 01.040.17; 17.040.20 Compliance wit
4、h a British Standard cannot 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
5、EN ISO 12781-1 April 2011 ICS 01.040.17; 17.040.20 Supersedes CEN ISO/TS 12781-1:2007English Version Geometrical product specifications (GPS) - Flatness - Part 1: Vocabulary and parameters of flatness (ISO 12781-1:2011) Spcification gomtrique des produits (GPS) - Planit - Partie 1: Vocabulaire et pa
6、ramtres de planit (ISO 12781-1:2011) Geometrische Produktspezifikation (GPS) - Ebenheit - Teil 1: Begriffe und Kenngren der Ebenheit (ISO 12781-1:2011) This European Standard was approved by CEN on 26 February 2011. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stip
7、ulate the conditions for giving this European Standard 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
8、Standard exists in three official versions (English, French, 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
9、 national standards bodies of Austria, Belgium, Bulgaria, 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, Sw
10、itzerland and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION 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. N
11、o. EN ISO 12781-1:2011: EBS EN ISO 12781-1:2011 EN ISO 12781-1:2011 (E) 3 Foreword This document (EN ISO 12781-1:2011) has been prepared by Technical Committee ISO/TC 213 “Dimensional and geometrical product specifications and verification“ in collaboration with Technical Committee CEN/TC 290 “Dimen
12、sional and geometrical product specification and verification” 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 sta
13、ndards shall be withdrawn at the latest by October 2011. 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
14、ISO/TS 12781-1:2007. According to the CEN/CENELEC Internal 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, Hung
15、ary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and the United Kingdom. Endorsement notice The text of ISO 12781-1:2011 has been approved by CEN as a EN ISO 12781-1:2011 without any mod
16、ification. BS EN ISO 12781-1:2011ISO 12781-1:2011(E) ISO 2011 All rights reserved iiiContents Page Foreword iv Introduction.v 1 Scope1 2 Normative references1 3 Terms and definitions .1 3.1 General terms 1 3.2 Terms relating to the surface .2 3.3 Terms relating to the reference plane .3 3.4 Paramete
17、rs .5 4 Straightness deviations5 Annex A (informative) Mathematical definition of flatness tolerances of nominal integral features.6 Annex B (informative) Synoptic tables of terms, abbreviations and parameters 7 Annex C (informative) Relationship to the GPS matrix model .9 Bibliography11 BS EN ISO 1
18、2781-1:2011ISO 12781-1:2011(E) iv ISO 2011 All rights reservedForeword ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of preparing International Standards is normally carried out through ISO technical comm
19、ittees. 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 liaison with ISO, also take part in the work. ISO collaborates closely with the
20、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 of technical committees is to prepare International Standards. Draft Internation
21、al 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 is drawn to the possibility that some of the elements of this document may be th
22、e subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. ISO 12781-1 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product specifications and verification. This first edition of ISO 12781-1 cancels and replaces ISO/TS
23、12781-1:2003, which has been technically revised. ISO 12781 consists of the following parts, under the general title Geometrical product specifications (GPS) Flatness: Part 1: Vocabulary and parameters of flatness Part 2: Specification operators BS EN ISO 12781-1:2011ISO 12781-1:2011(E) ISO 2011 All
24、 rights reserved vIntroduction This part of ISO 12781 is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard (see ISO/TR 14638). It influences chain link 2 of the chain of standards on form of a surface (independent of a datum). The ISO/GPS Masterplan g
25、iven in ISO/TR 14638 gives an overview of the ISO/GPS system of which this part of ISO 12781 is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this part of ISO 12781 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this part of
26、ISO 12781, unless otherwise indicated. For more detailed information on the relationship of this part of ISO 12781 to other standards and the GPS matrix model, see Annex C. This part of ISO 12781 defines terms and concepts necessary for defining the specification operators according to ISO 17450-2 f
27、or flatness of integral features. 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
28、ogical filter). The type of filtering influences the definition of flatness and the specification operators and, therefore, needs to be stated unambiguously. This part of ISO 12781 is not intended to disallow any means of measuring flatness. BS EN ISO 12781-1:2011BS EN ISO 12781-1:2011INTERNATIONAL
29、STANDARD ISO 12781-1:2011(E) ISO 2011 All rights reserved 1Geometrical product specifications (GPS) Flatness Part 1: Vocabulary and parameters of flatness 1 Scope This part of ISO 12781 defines the terms and concepts related to flatness of individual complete integral features only. 2 Normative refe
30、rences The following referenced documents are 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 14660-1:1999, Geometrical Product Spec
31、ifications (GPS) Geometrical features Part 1: General terms and definitions ISO 14660-2:1999, Geometrical Product Specifications (GPS) Geometrical features Part 2: Extracted median line of a cylinder and a cone, extracted median surface, local size of an extracted feature ISO 17450-1:1), Geometrical
32、 Product Specifications (GPS) General concepts Part 1: Model for geometrical specification and verification 3 Terms and definitions For the purposes of this document, the terms and definitions given in ISO 14660-1, ISO 14660-2, ISO 17450-1 and the following apply. 3.1 General terms 3.1.1 flatness pr
33、operty of a plane 3.1.2 nominal plane mathematically defined plane as specified by the design 1) To be published. (Revision of ISO/TS 17450-1:2005). BS EN ISO 12781-1:2011ISO 12781-1:2011(E) 2 ISO 2011 All rights reserved3.2 Terms relating to the surface 3.2.1 extracted surface flatness digital repr
34、esentation of the real surface See Figure 1. NOTE The extraction conventions for flatness are given in ISO 12781-2. This extracted surface is an extracted integral feature as defined in ISO 14660-1. Key 1 extracted surface 2 real surface Figure 1 Extracted surface 3.2.2 flatness surface extracted su
35、rface (type plane) intentionally modified by a filter NOTE 1 This is the surface to which the concepts and parameters of this part of ISO 12781 can be applied. NOTE 2 The areal Gaussian filter is a convolution of two orthogonal profile Gaussian filters. 3.2.3 local flatness deviation deviation of a
36、point on a flatness surface from a reference plane, the deviation being normal to the reference plane See Figure 2. NOTE 1 The deviation is negative if from the reference plane the point lies in the direction of the material. NOTE 2 For reference plane, see 3.3.1. BS EN ISO 12781-1:2011ISO 12781-1:2
37、011(E) ISO 2011 All rights reserved 3Key 1 any reference plane aNegative local flatness deviation. bPositive local flatness deviation. Figure 2 Local form deviation for flatness 3.3 Terms relating to the reference plane 3.3.1 reference plane associated plane fitting the flatness surface in accordanc
38、e with specified conventions, to which the deviations from flatness and the flatness parameters are referred 3.3.1.1 minimum zone reference planes two parallel planes enclosing the flatness surface and having the least separation NOTE The abbreviated term MZ is used to refer to minimum zone referenc
39、e elements. See Figure 3. 3.3.1.1.1 outer minimum zone reference plane minimum zone reference plane outside the material See Figure 3. 3.3.1.1.2 inner minimum zone reference plane minimum zone reference plane inside the material See Figure 3. 3.3.1.1.3 mean minimum zone reference plane arithmetic me
40、an plane of the minimum zone reference planes See Figure 3. BS EN ISO 12781-1:2011ISO 12781-1:2011(E) 4 ISO 2011 All rights reservedKey 1 outer minimum zone reference plane 2 mean minimum zone reference plane 3 inner minimum zone reference plane aLeast separation. Figure 3 Minimum zone reference pla
41、nes 3.3.1.2 least squares reference plane plane such that the sum of the squares of the local flatness deviations is a minimum NOTE The abbreviated term LS is used to refer to least squares reference elements and the abbreviated term G (for Gaussian) is used as a prefix for parameters based on least
42、 squares reference elements. See Figure 4. Key 1 least squares reference plane aNegative local flatness deviation. bPositive local flatness deviation. Figure 4 Least squares reference plane BS EN ISO 12781-1:2011ISO 12781-1:2011(E) ISO 2011 All rights reserved 53.4 Parameters 3.4.1 peak-to-valley fl
43、atness deviation value of the largest positive local flatness deviation added to the absolute value of the largest negative local flatness deviation NOTE 1 The peak-to-valley flatness deviation is defined for all reference planes. NOTE 2 The peak-to-valley straightness deviation is the only paramete
44、r that is defined for minimum zone reference planes. NOTE 3 The modifier GT is used in specifications to indicate that a form tolerance applies to the peak-to-valley deviation relative to the least squares reference element. 3.4.2 peak-to-reference flatness deviation value of the largest positive lo
45、cal flatness deviation from the least squares reference plane NOTE 1 The peak-to-reference flatness deviation is only defined for least squares reference planes. NOTE 2 The modifier GP is used in specifications to indicate that a form tolerance applies to the peak-to-reference deviation relative to
46、the least squares reference element. 3.4.3 reference-to-valley flatness deviation absolute value of the largest negative local flatness deviation from the least squares reference plane NOTE 1 The reference-to-valley flatness deviation is only defined for least squares reference planes. NOTE 2 The mo
47、difier GV is used in specifications to indicate that a form tolerance applies to the reference-to-valley deviation relative to the least squares reference element. 3.4.4 root-mean-square flatness deviation Frmssquare root of the sum of the squares of the local flatness deviations from the least squa
48、res reference plane NOTE 1 The root-mean-square flatness deviation is only defined for least squares reference planes. NOTE 2 The modifier GQ is used in specifications to indicate that a form tolerance applies to the root-mean-square deviation relative to the least squares reference element. NOTE 3
49、The root-mean-square flatness deviation is given by: 2rmsl1dAF FAA= where Frmsis the root-mean-square flatness deviation; Flis the local flatness deviation; A is the surface area of the flatness feature. 4 Straightness deviations The deviations of the local straightness profiles of the flatness features are specified in ISO 12780-1. BS EN ISO 12781-1:2011ISO 12781-1:2011(E) 6 ISO 2011 All rights reservedAnnex A (informative) Mathematical definition of flatness tolerances of nominal integral featur
