ISO/TR TECHNICAL REPORT 16015 First edition 2003-03-15 Geometrical product specifications (GPS) Systematic errors and contributions to measurement uncertainty of length measurement due to thermal influences Spécifications géométriques des produits (GPS) 一 Erreurs systematiques et contributions a I'incertitude de mesure de la longueur, dues aux influences thermiques Reference number ISO/TR 16015:2003(E) ISO @ISO2003 by IHS under lic itted without license from IHS Not for Resale ISO/TR16015:2003(E) PDF disclaimer This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In accepts no liability in this area. Adobe is a trademark of Adobe Systems Incorporated. Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by IsO member bodies. In the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below ISO2003 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, IsO's member body in the country of the requester. ISO copyright office Case postale 56 . CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail [email protected] Web www.iso.org Published in Switzerland ationalgazaiSandardizato @Iso2003-All rightsreserved ermittedwithoutlicense from IHS Not for Resale ISO/TR16015:2003(E) Contents Page Foreword Introduction 1 Scope 2 Normative references 3 Terms and definitions. 3.1 Terms concerning coefficient of thermal expansion . 3.2 Terms concerningthermal expansion....... 3.3 Dimensional consequences of temperature variation ... 3.4 Measuring instruments, measuring procedures and metrology. 3.5 Dimensional quantities related to thermal effects..... 4 Symbols and abbreviated terms.. 5 Procedure.. 5.1 General. 10 5.2 Evaluate uncertainties of workpiece and working standard temperatures 10 5.3 Evaluate uncertainties of coefficients of thermal expansion .. 11 5.4 Evaluate length uncertainty due to environmental temperature variation .. 5.5 Evaluatestandarduncertaintycomponentduetootherthermaleffects.. Annex A (informative) Advisory information on temperature environment for length measurement.... 14 Annex B (informative) Uncertainty in length measurement due to thermal effects - Example.. Annex C (informative) Relationship to the GPS matrix model 37 Bibliography . 38 Copyright International Organizaion for Standardization rights reserved ili nse from IHS Not for Resale ISO/TR 16015:2003(E) Foreword 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 technicalcommittees.Eachmemberbodyinterestedinasubjectforwhichatechnicalcommitteehasbeer InternationalElectrotechnicalCommission(lEC)onallmattersofelectrotechnicalstandardization. International Standards are drafted in accordance with the rules given in the ISO/lEC Directives, Part 2. 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. In exceptional circumstances, when a technical committee has collected data of a different kind from that which is normally published as an International Standard ("state of the art", for example), it may decide by a informative in nature and does not have to be reviewed until the data it provides are considered to be no longer valid or useful. Attention is drawn to the possibility that some of the elements of this docu