Skip to main content

Measurement Uncertainty and Requirements of Production System. Selected Issues of Measurement Uncertainty Theory

  • Chapter
  • First Online:
Coordinate Metrology

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

Abstract

This chapter describes the theoretical bases together with the author’s concept of identification of reproducibility error of the measuring point (REMP), as the basis of the matrix method (MM) used for CMM error identification and the assessment of their accuracy. Also the importance of coordinate metrology for quality management and the evaluation of measurement uncertainty as a key task in deciding product geometry compliance with its specifications (GPS, geometrical product specification) are pointed out. There is also presented one of the most accurate coordinate measuring machines in the laboratory, with the air-conditioning system ensuring thermal stability in the range of ±0.05 °C. This chapter presents the theory of measurement uncertainty, the vector concept of describing coordinate measurement accuracy, and the REMP. It discusses the results of the author’s original work concerning the determination of coordinate system accuracy at the measuring point and presents it as the basis for the new concept of CMS accuracy assessment. It also examines the issue of standards construction and the methodology of their application, which includes the possibility of identifying the accuracy at the measuring point. The discussion on coordinate measurement uncertainty in accordance with international standards and the author’s research results, including the method using a calibrated object or standard, the concept of a multiposition method with the use of a noncalibrated object or simulative, analytical and expert methods is also presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Note: Do not confuse with the positioning error defined in Sect. 4.1.

References

  1. Abacerli, A.J., Pereira, P.H., Calonego, N.: A case study on testing CMM uncertainty simulation software (VCMM). J. Braz. Soc. Mech. Sci. Eng. XXXII(1/9) (2010)

    Google Scholar 

  2. Balsamo, A., Pedone, P., Ricci, E., Verdi, M.: Low-cost interferometric compensation of geometrical errors; CIRP Ann. Manuf. Technol. 58(1), 459–462 (2009)

    Google Scholar 

  3. Baran, W.: Teoretyczne podstawy opracowania wyników pomiarów geodezyjnych (Teoretical base for development of geodetic measurements results) PWN, Warsaw (1983)

    Google Scholar 

  4. Beaman, J., Morse, E.: Experimental evaluation of software estimates of task specific measurement uncertainty for CMMs. Precis. Eng. 34(1), 28–33 (2010)

    Article  Google Scholar 

  5. Belforte, G., Bona et al.: Coordinate measuring and machine tools selfcalibration and error correction. Ann. CIRP 36(1):359–364 (1987)

    Google Scholar 

  6. Bosch, J.A.: Coordinate Measuring Machines and Systems. Marcel Dekker Inc., New York (1995)

    Google Scholar 

  7. Busch, K., Kunzmann, H., Waldele, F.: Numerical error correction of CMM. In: Proceedings of the International Symposium on Metrology for Quality Control in Production, Tokyo, pp. 270–282 (1984)

    Google Scholar 

  8. Curran, E., Phelan, P., Quick check error verification of coordinate measuring machines. J. Mater. Process. Technol. pp. 155–156, pp. 1207–1213 (2004)

    Google Scholar 

  9. van Dorp, B., Haitjema, H., Delbressine, F., Bergmans, R., Schellekens, P.: Virtual CMM using Monte Carlo methods based on frequency content of the error signal. In: Decker, J.E., Brown, N. (Eds.) Proceedings of the SPIE 4401 Recent Developments in Traceable Dimensional Measurements’, SPIE (2001)

    Google Scholar 

  10. Dutschke, W.: Fertigungsmesstechnik. Taubner Verlag, Stuttgart (1993)

    Google Scholar 

  11. Deutsches Institut fur Normung. (1996) DIN 1319-1: Fundamentals of Metrology. Part 3: Evaluation of Measurements of a Single Measurand, Measurement Uncertainty

    Google Scholar 

  12. EASYTRAC Project: “Easier and cheaper traceability in industry by up-to-date methods of calibration, “EU Contract No. G6RD-CT–2000-00188 Work package 6.4 “Reversal technique to calibrate gear and thread standards”—Final Report from DTU—Calibration of Thread Gauges on CMMs

    Google Scholar 

  13. Estler, W.T., Edmundson, K.L., Peggs, G.N., Parker, D.H.: Large-scale metrology—an update. CIRP Ann. Manufac. Technol. 51(2), 587–609 (2002)

    Google Scholar 

  14. ETALON AG, www.etalon.de

  15. FEINMESS GmbH & Co. KG, www.feinmess.com

  16. Flack, D.: CMM Verification. Measurement Practice Guide No. 42. New Delhi, National Phisical Laboratory (2001)

    Google Scholar 

  17. Fletcher, S., Longsta, A., Myers, A.: Investigation into the accuracy of a proposed laser diode based multilateration machine tool calibration system. J. Phys.: Conf. Ser. 13, 398–401 (2005)

    Google Scholar 

  18. Franke, M., Hartig, F., Wendt, K.: Measuring large 3D structures using a portable 4-arm laser interferometer. In: Sładek, J., Jakubiec, W. (eds.) Advances in Coordinate Metrology, Monograph, pp. 35–42. University of Bielsko-Biała, Bielsko-Biała. ISBN 978–83–62292–52–3 2010 (2010)

    Google Scholar 

  19. Geise, G., Hartmann, M.: Geometrische Aspekte bei Ausgleichproblemen in der Koordi- natenmesstechnik. Konferenz INFERT 82, Dresden 1–2 Sept 1982

    Google Scholar 

  20. Główny Urząd Miar—Central Office of Measures (Warsaw 1996)—International vocabulary of basic and general terms in metrology (VIM)—second edition 1993 ISO

    Google Scholar 

  21. Główny Urząd Miar—Central Office of Measures (Warsaw 1999) Guide to the Expression of Uncertainty in Measurement (GUM) ISO 1993/1995 with the addition to polish edition of J.M. Jaworski

    Google Scholar 

  22. Halupczok, E.: Definicja dokładności współrzędnościowej techniki pomiarowej na przykładzie maszyny UPMC CARAT (Definition of accuracy of coordinate measurement technique on the example of UPMC CARAT machine) Carl Zeiss Industrielle MeBtechnik GmbH, Esslingen

    Google Scholar 

  23. Hansen, H.N.: A database system for uncertainty estimation in coordinate metrology. Metrology for Quality Control in Production. In: Proceedings of 6th ISMQC IMEKO

    Google Scholar 

  24. Hansen, H.N., Trapet, E.: An approach to uncertainty estimation in coordinate metrology. In: Kunzmann, H., Waldele, F., Wilkening, G., Corbet, J., MacKeow, P.P., Weck, M., Huemmler, J. (eds.) Progress in Precision Engineering and Nanotechnology, vol. 1, pp. 323–326. PTB—Braunschweig u. Berlin P.u.Oe. (1997)

    Google Scholar 

  25. Hansen, H.N., De Chiffre, L., Savio, E.: Traceability in coordinate metrology. In: PRIME 2001 International Conference, pp. 363–368 (2001)

    Google Scholar 

  26. Hart, H., Lotze, W., Woschni, E.G.: Messgenauigkeit. Verlag Technik, Berlin (1987)

    Google Scholar 

  27. Hartmann, W.W., Geise G.: Displaydarstellungen als Entscheidungshilfe fur Messauswer- tungsstrategien in der Koordinatenmesstechnik. Feingeratetechnik 1984/1

    Google Scholar 

  28. Haitjema, H., van Dorp, B., Morel, M., Schellekens, P.H.J.: Uncertainty estimation by the concept of virtual instruments. In: Decker, J.E., Brown, N. (eds.) Proceedings of the SPIE 4401 Recent Developments in Traceable Dimensional Measurements’, SPIE (2001)

    Google Scholar 

  29. Hartig, F.: How to work with the on-line virtual CMM. In: Proceedings of Workshop on Trace- bylity of CMM—PTB, Braunschweig October 9–10 (1997)

    Google Scholar 

  30. Herbst, C., Tutsch, R.: Simulation of micro coordinate measuring machine for parallel measurement of microstructures. Sładek, J., Jakubiec, W.(eds.) Advances in Coordinate Metrology, pp. 15–24. University of Bielsko-Biala, Bielsko-Biala (2010)

    Google Scholar 

  31. Hernla, M.: Messumsicherheit bei Koordinatenmessungen. Expert Verlag (2007)

    Google Scholar 

  32. Hocken, R.: Tree-dimensional metrology. Ann. CIRP 26(2), 378–382 (1977)

    Google Scholar 

  33. Hughes, E.B., Wilson, A., Peggs, G.N.: Design of a high-accuracy CMM based on multi- lateration techniques. CIRP Ann. Manuf. Technol. 49(1), 391–394 (2000)

    Google Scholar 

  34. ISO 9000: Series of standards for quality management and quality assurance system

    Google Scholar 

  35. ISO/CD TS 15530–2: Use of multiple measurement strategie

    Google Scholar 

  36. ISO/TR 14638:1995, Geometrical Product Specifications (GPS): Masterplan

    Google Scholar 

  37. ISO/TS 15530–3:2004: Use of calibrated workpieces or standards

    Google Scholar 

  38. ISO/TS 15530–5 (Draft) GPS: Use of expert judgement

    Google Scholar 

  39. ISO/TS 15530–4:2008: Evaluating tasc-specific measurement uncertainy using simulation

    Google Scholar 

  40. Jaeger, G.: Limitations of precision length measurements based on interferometers. Measurement 43(5), 652–658 (2010)

    Article  Google Scholar 

  41. Jakubiec, W., Starczak, M.: Identification of parameters of virtual coordinate measuring machines model. In: IVth International Scientific Conference—Coordinate Measuring Technique, Lodz University of Technology Scientific Books, branch in Bielsko-Biała, no. 53, Bielsko-Biała 2000, pp. 115–118

    Google Scholar 

  42. Jakubiec, W., Starczak, M.: EMU—Friendly software for estimation of measurements uncertainty for CMM. In: 8th International Symposium on Measurement and Quality Control in Production. Erlangen 2004. VDI Verlag GmbH, Dusseldorf (2004)

    Google Scholar 

  43. Jakubiec, W., Starczak, M.: Metodyka wyznaczania niepewności pomiarów współrzędnościowych (Methodology of evaluation of the coordinate measurements uncertainty) In: VIth International Scientific Conference—Coordinate Measuring Technique, Bielsko- Biała. University of Bielsko-Biała, Scientific Books 10 (2004)

    Google Scholar 

  44. Jakubiec, W.: Analityczne wyznaczanie niepewności pomiaru we współrzędnościowej technice pomiarowej (Analilitical evaluation of the measurement uncertainty in coordinate measurement technique) University of Bielsko-Biała. Scientific Books 22, Bielsko-Biała (2008)

    Google Scholar 

  45. Jakubiec, W., Płowucha, W., Starczak, M.: EMU—oprogramowanie do analitycznego wyznaczania niepewności pomiarów współrzędnościowych (Software for analilitical evaluation of the coordinate measurements uncertainty). In: Sładek, J., Jakubiec, W. (eds.) Advances in Coordinate Metrology, pp. 83–89. University of Bielsko-Biała, Bielsko-Biała (2010)

    Google Scholar 

  46. Jakubiec, W., Płowucha, W., Starczak, M., Wizner, M.: Wdrażanie oprogramowania do analitycznego wyznaczania niepewności pomiarów współrzędnościowych (Implementation of the software for analilitical evaluation of the coordinate measurements uncertainty). In: Sładek J., Jakubiec, W. (eds.) Advances in Coordinate Metrology, pp. 90–97. University of Bielsko-Biała, Bielsko-Biała (2010)

    Google Scholar 

  47. Jakubiec, W., Płowucha, W., Starczak, M.: Analytical evaluation of the coordinate measurements uncertainy. In: Sładek, J., Jakubiec, W. (eds.) Advances in Coordinate Metrology, pp. 169–176. University of Bielsko-Biała, Bielsko-Biała (2010)

    Google Scholar 

  48. Joskowicz, L., Ostrovsky-Berman, Y., Myers, Y.: Efficient representation and computation of geometric uncertainty: The linear parametric model. Precis. Eng. 34(1), 2–6 (2010)

    Article  Google Scholar 

  49. Koch, K.P., Peter, R., Weisig, S., Koordinatenmessung mit einem Lasertiangulationstaster. Feinwerktechnik & Messtechnik F&M 95, Heft 6 (1988)

    Google Scholar 

  50. Kotulski, Z., Szczepiński, W.: Rachunek błędów dla inżynierów (Calculus of errors for engineers). WNT Warsaw (2004)

    Google Scholar 

  51. Kowalski, M.: Analiza pomiarów na współrzędnościowych maszynach pomiarowych obarczonych błędami kształtu (Analisys of measurements done with the use of coordinate measuring machines affected by form errors). Doctoral Dissertation, Cracow University of Technology (1993)

    Google Scholar 

  52. Kowalski, M.: Model wirtualnej wielowspółrzędnościowej maszyny pomiarowej i jej zastosowanie (Model of virtual multi-coordinate measuring machine and its application) In: Proceedings of VIth Scientific-Technical Conference Metrology in Production Engineering, pp. 218–223. Rzeszow University of Technology (1995)

    Google Scholar 

  53. Kowalski, M.: Wybrane aspekty realizacji modelu wirtualnej współrzędnościowej maszyny pomiarowej (Chosen aspects of realization of the virtual coordinate measuring machine model), pp. 117–126. Polish Academy of Sciences—KBM, Scientific Book no. 63, Works of Institute of Machine Technology and Production Automation, Cracow University of Technology (1999)

    Google Scholar 

  54. Kowalski, M.: Zastosowanie wirtualnej WMP do wyznaczania i minimalizacji błędów pomiarowych (The use of virtual CMM for determintaion and minimization of measurement errors). In: Proceedings of VIIIth scientific-technical conference Metrologia w technikach wytwarzania maszyn (Metrology in Machine Production), vol. II, pp. 401–408. Szczecin–Międzyzdroje 13–15 IX (1999)

    Google Scholar 

  55. Kowalski, M., Sładek, J.: Opracowanie wirtualnej wielowspółrzędnościowej maszyny pomiarowej z zastosowaniem do badań i korekcji błędów obiektów rzeczywistych i optymalizacji pomiarów (Development of virtual multi- coordinate measuring machine with the application for researches and correction of errors of real objects and for measurements optimization) PB 1367/T0795/08 KBN Research Grant (1995–1998)

    Google Scholar 

  56. Kowalski, M., Sładek, J., et al.: Opracowanie wirtualnej wielowspółrzędnościowej maszyny pomiarowej z zastosowaniem do badań i korekcji błędów obiektów rzeczywistych i optymalizacji pomiarów pomiarów (Development of virtual multi- coordinate measuring machine with the application for researches and correction of errors of real objects and for measurements optimization). Final Report of Research Project PB 1367/T07/95/08, Cracow University of Technology, not published (1998)

    Google Scholar 

  57. Kowalski, M., Sładek, J., Rakoczy, R.: Opis wirtualnej współrzędnościowej maszyny pomiarowej (Decription of virtual coordinate measuring machine). In: IIIrd International Scientific Conference—Coordinate Measuring Technique, pp. 71–80. Lodz University of Technology Scientific Books, branch in Bielsko-Biała, No. 44, Bielsko-Biała (1998)

    Google Scholar 

  58. Kupiec, M.: Optyczno-stykowa metoda pomiarów współrzędnościowych (Optic-contact method for coordinate measurements). Doctoral Dissertation—Cracow University of Technology, Faculty of Mechanical Engineering 2008 work realized under research grant with Department of Photonics Engineering of Institute of Micromechanics and Photonics—Faculty of Mechatronics at Warsaw University of Technology no. 3 T10C 010 29 nt: Optonumeryczny system do pomiaru elementów geometrycznych zintegrowany z Współrzędnościową Maszyną Pomiarową (Opto-numerical system for measuring the geometrical elements integrated with Coordinate Measuring Machine) (2005–2008)

    Google Scholar 

  59. Lau, K.C., Hocken, R.J.: Tree and five axis laser tracking systems. US Patent No. 4714339 (1987)

    Google Scholar 

  60. Leica Geosystems, A.G.: www.metrology.leica-geosystems.com

  61. Lotze, W.: Rechnergestutzte Koordinatenmesstechnik. Werkstatt und Betrieb 113(6), 391–395 (1980)

    Google Scholar 

  62. Lotze, W.: Prufkorper fur Koordinatenmessgeraten. Feingeratetechnik 30, und VDI- Z 123 1981, pp. 154–155 (1981)

    Google Scholar 

  63. Lotze, W., Teichmann, U.: Einfluss von Gestalt – und Lageabweichungen auf die Unsicher- heit der Rechnergestutzehn Koordinatenmessung. Feingeratetechnik 8, 139–343 (1976)

    Google Scholar 

  64. Lotze, W., Teichmann, U.: Genauigkeit und Prufung von Koordinatenmessgeraten. Feingeratetechnik 35, 339–342 (1986)

    Google Scholar 

  65. Lotze, W., Hartmann, M.W., Bressel, E.: Leistungsstand der rechnergestutzten Koordinaten- messtechnik an der TU Dresden. Feingeratetechnik 9, 387–390 (1982)

    Google Scholar 

  66. Mailhe, J., Linares, J.M., Sprauel, J.M., Bourdet, P.: Geometrical checking by virtual gauge, including measurement uncertainties. CIRP Ann. Manuf. Technol. 57, 513–516 (2008)

    Google Scholar 

  67. Maihle, J., Linares, J.M., Sprauel, J.M.: The statistical gauge in geometrical verification: Part I. Field of probability of the presence of matter. Precis. Eng. 33(4), 333–341 (2009)

    Article  Google Scholar 

  68. Maihle, J., Linares, J.M., Sprauel, J.M.: The statistical gauge in geometrical verification. Part II. The virtual gauge and verification process. Precis. Eng. 33(4), 342–352 (2009)

    Article  Google Scholar 

  69. Metoda Macierzowa (Matrix Method—MM)—Microsoft Excel Application—Cracow University of Technology Laboratory of Coordinate Metrology (2000)

    Google Scholar 

  70. Metropolis, N., Ulam, S.: The monte carlo metod. J. Am. Stat. Assoc. 44(247), 335–341 (1949)

    Google Scholar 

  71. Metrosage: www.metrosage.com

  72. Moustafa, S., Gerwien, N., Haertig, F., Wendt K.: Comparison of error mapping techniques for coordinate measuring machines using the plate method and Laser Tracer. In: XIX IMEKO World Congress Fundamental and Applied Metrology, Lisbon, Portugal, 6–11 Sept 2009

    Google Scholar 

  73. Nakamura, O., Goto, M., Toyoda, K., Tanimura, I., Kurosawa, A.: Development of coordinate measuring systems with tracking laser interferometers. Ann. CIRP 40(1), 523–530 (1991)

    Google Scholar 

  74. Nawara, L., Kowalski, M.: Analiza błędów w pomiarach przestrzennych (Analysis of errors in spatial measurements). Mechanik 12, 674–679 (1980)

    Google Scholar 

  75. Nawara, L., Sładek, J.: Investigations of measuring heads errors influence on the measuring accuracy of multi-coordinate machine. In: 7th International Conference on Automated Inspection and Product-Control, pp. 305–312. Birmingham England (1985)

    Google Scholar 

  76. Nawara, L., Kowalski, M., Sładek, J.: Badanie maszyn pomiarowych 3-koordynatowych ze względu na dokładność. PTMiU (Examination of 3-coordinate measuring machines due to accuracy PTMiU). Quarterly PAN (Polish Academy of Sciences). 2, 141–150 (1983)

    Google Scholar 

  77. Nawara, L., Kowalski, M., Sładek, J.: The Influence of kinematics errors on the profile shapes by means of CMM. Ann. CIRP 37(1), 398–401 (1989)

    Google Scholar 

  78. Nawara, L., Kowalski, M., Sładek, J.: Pewna metoda oceny błędów maszyn pomiarowych (Sure method for assessment of measuring machines errors). Mechanik 1, 14–19 (1987)

    Google Scholar 

  79. Neumann, H.J i innii Praezisionmesstechnik in der Fertigungs mit Koordinatenmessgeraeten. Expert Verlag (2005)

    Google Scholar 

  80. Ostrowska, K.: Accuracy assessment method for measurements done with the use of articulated arm coordinate measuring machines. Doctoral Dissertation, Cracow University of Technology, Faculty of Mechanical Engineering (2010)

    Google Scholar 

  81. Ozono, S., Takamasu, K.: Data processing and calibration of coordinate measuring machine. Int. J. Jpn. Soc. Prec. Eng. 29(2), 105–108 (1995)

    Google Scholar 

  82. Pfeifer, T., Bambach, M.: Definition und Prufung von Kriterien zur Bestimmung systematischer und zufalliger Fehler von Dreikoordinatenmessgeraten. Forschungsberichte des Landes Nordhein-Westfalen No. 2856

    Google Scholar 

  83. Physikalisch-Technische Bundesanstalt: www.ptb.de

  84. PN-EN ISO 10012:2003- Systemy zarządzania pomiarami—Wymagania dotyczące procesów pomiarowych i wyposażenia pomiarowego (Measurement management systems—Requirements for measurement processes and measuring equipment)

    Google Scholar 

  85. PN/EN/ISO 14253: Kontrola wyrobów i sprzętu za pomocą pomiarów (Inspection by measurement of workpieces and measuring equipment)

    Google Scholar 

  86. PN/EN/ISO 14253-1: Reguły decyzji przy orzekaniu zgodności lub niezgodności ze specyfikacją (Decision rules for proving conformance or non-conformance with specifications)

    Google Scholar 

  87. PN/EN/ISO 14253-2: Przewodnik do oceny niepewności pomiarów podczas wzorcowania sprzętu pomiarowego i kontroli wyrobów (Guidance for the estimation of uncertainty in GPS measurement, in calibration of measuring equipment and in product verification)

    Google Scholar 

  88. PN-EN ISO/IEC 17025:2005: Ogólne wymagania dotyczące kompetencji laboratoriów badawczych i wzorcujących (General requirements for the competence of testing and calibration laboratories)

    Google Scholar 

  89. PN-EN ISO 9001:2009: Systemy zarządzania jakością. Wymagania (Quality management systems—Requirements)

    Google Scholar 

  90. PN-EN ISO 9004:2001: Systemy zarządzania jakością—Wytyczne doskonalenia funkcjonowania (Quality management systems—Guidelines for performance improvements)

    Google Scholar 

  91. PN–71/N-02050: Metrologia nazwy i określenia (Metrology names and terms)

    Google Scholar 

  92. Polski Komitet Normalizacji: Międzynarodowy słownik metrologii—Pojęcia podstawowe i ogólne oraz terminy z nimi związane (VIM). PKN-ISO/IEC Guide 99:2010 (“International vocabulary of metrology—Basic and general concepts and associated terms (VIM)”) (2010)

    Google Scholar 

  93. Pressel, H.G.: Genau messen mit Koordinatenmessgeraeten. Expert Verlag, Rennigen-Malmsheim (2003)

    Google Scholar 

  94. Schwenke, H.: Abschatzung von Messunsicherheiten durch Simulation an Beispielen aus der Fertigungsmesstechnik. Dissertation der Technischen Universitat Chemnitz—PTB-F 36 Braunschweig Juli (1999)

    Google Scholar 

  95. Schwenke, H., Trapet, E., Waldele, F.: Calibration of coordinate measuring machines to improve and to know the measurement uncertainty. In: IIIth International Scientific Conference—Coordinate Measuring Technique, Lodz University of Technology Scientific Books, branch in Bielsko-Biała, No. 44, Bielsko-Biała, pp. 213–232, 1998

    Google Scholar 

  96. Schwenke, H., Franke, M., Hannaford, J., Kunzmann, H.: Error mapping of CMMs and machine tools by a single tracking interferometer. CIRP Ann. Manuf. Technol. 54(1), 475–478 (2005)

    Google Scholar 

  97. Schwenke, H., Knapp, W., Haitjema, H., Weckenmann, A., Schmitt, R., Delbressine, F.: Geometric error measurement and compensation of machines—an update. CIRP Ann. Band 57(2), 660–675 (2008)

    Google Scholar 

  98. Sitnik, R., Sładek, J., et al.: Opto-numeryczny system do pomiaru elementów geometrycznych zintegrowany z Współrzędnościową Maszyną Pomiarową (Opto-numeric system integrated with Coordinate Measuring Machine for measuring geometrical elements) Reseach grant no. 3 T10C 010 29

    Google Scholar 

  99. Sładek, J.: Assessment of the accuracy of contact probe heads used in coordinate measuring machines. Ph.D. Thesies—Cracow University of Technology, Faculty of Mechanical Engineering (1990)

    Google Scholar 

  100. Sładek, J.: Metody oceny dokładności WMP a prognozowanie dokładności pomiarów (Methods for accuracy assessment of CMM vs forecasting of measurement accuracy). In: IInd National Scientific Conference (with international participation)—Coordinate Measuring Technique, pp. 211–221. Lodz University of Technology Scientific Books, branch in Bielsko-Biała, Bielsko-Biała (1996)

    Google Scholar 

  101. Sładek, J.: Metrological assessment of CMMs and the possibilities of forecasting a measurement accuracy. In: 13 Conference, BIAM’96, Zagreb, Croatia, pp. D15–D183 June 18–21 1996

    Google Scholar 

  102. Sładek, J.: Strategy of applying coordinate metrology in quality assurances systems with regards to a measuring accuracy. In: Ford, D.G., Postlethwaite, S.R. (eds.) Laser Metrology and Machine Performance, pp. 497–508. Computational Mechanic Publications, Southampton-Boston (1997)

    Google Scholar 

  103. Sładek, J.: Errors identification and measurement accuracy assessment of coordinate measuring machines (CMM). Adv. Technol. Mach. Equip. Postępy Technologii Maszyn i Urządzeń, Quarterly PAN (Polish Academy of Sciences). 23(4), 113–136 (1999)

    Google Scholar 

  104. Sładek, J., Model wirtualny WMP z zastosowaniem do oceny dokładności realizowanych pomiarów w warunkach czasu quasi-rzeczywistego (CMM virtual model with the application to accuracy assessment of measurements realized in equations of quasi- real time). In: IVth International Scientific Conference Coordinate Measuring Technique. pp. 193–208. Lodz University of Technology Scientific Books, branch in Bielsko-Biała, No. 53, Bielsko-Biała (2000)

    Google Scholar 

  105. Sładek, J.: A neural network model of CMM applied for measurement accuracy assessment. In: Proceedings IMECO World Congress, Vienna, vol. 11, 23–26 Sept 2000, pp. 281–286

    Google Scholar 

  106. Sładek, J.: Modelowanie i ocena dokładności maszyn oraz pomiarów współrzędnościowych (Modeling and accuracy assessment of coordinate machines and measurements), No. 87. Cracow University of Technology Scientific Books—Mechanika, Cracow (2001)

    Google Scholar 

  107. Sładek, J: Conception of description of coordinate measurement accuracy—on the basis of determination 3D—point uncertainty error. J. Mech. Eng. 53(6) (2002)

    Google Scholar 

  108. Sładek, J.: Opracowanie systemu oceny dokładności pomiarów oraz metody identyfikacji własnego pola błędów współrzędnościowych maszyn pomiarowych (Developing of a system for assessing the accuracy of measurements and of a method for identification coordinate measuring machine’s errors field). Final Report of the Research Project funded by the KBN under contract No. PB-0921/T07/99/1

    Google Scholar 

  109. Sładek, J.: Metoda oceny dokładności pomiarów realizowanych redundantnymi systemami współrzędnościowymi (RSW) (Method for accuracy assessment of measurements done with the use of redundant coordinate systems (RCS)) Research Project No. N505 255935 (2008–2010)

    Google Scholar 

  110. Sładek, J., Kowalski, M.: Anwendung des Virtuellen normales zur Schätzung der Genauigkeit bei Mehrkoordinaten-Messungen. 6 Internationales Symposium von Donau Adria Assoziation für Automation und Messtechnik, DAAAM, Automation und Metrologie: Mensch, Technik, Umwelt: TU Krakow, Fakultät Maschinenbau, Cracow 24–26 Okt. 1995, pp. 187–188

    Google Scholar 

  111. Sładek, J., Krawczyk, M.: Rozwój metrologii współrzędnościowej w systemach zapewnienia jakości. Zagadnienia jakości i środowiska eksploatacji maszyn (Development of Coordinate Metrology in quality assurances systems. The quality and machine operating environment issues), Wrocław, 2004. Inżynieria Maszyn, Agenda Wydawnicza Wrocławskiej Rady FSN NOT

    Google Scholar 

  112. Sładek, J., Rakoczy, R.: Wykorzystanie koncepcji sztucznych sieci neuronowych do modelowania współrzędnościowej maszyny pomiarowej (WMP) przy zastosowaniu wzorca przestrzennego (The use of the concept of artificial neural networks for modeling the coordinate measuring machine (CMM) with the use of spatial standard) Works of Institute of Machine Technology and Production Automation, Polish Academy of Sciences, Committee on Machine Building, Technology Bases Section, Scientific Book no. 63, Cracow University of Technology, 1999, pp. 193–206

    Google Scholar 

  113. Sładek, J., Rakoczy, R., Szwajkowski, A.: Application of neural networks for modelling coordinate measuring machines. In: Kunzmann, H., Waeldele, F., Wilkening, G., Corbet, J., MacKeow, PP., Weck, M., Huemmler, J. (eds.) Progress in Precision Engineering and Nanotechnology, vol. 1, pp. 323–326. PTB-Braunschweig u. Berlin P.u.OeVerlag (1997)

    Google Scholar 

  114. Sładek, J., Rakoczy, R., Majdosz. R.: Realizacja i badanie powiązań informatycznych CAD WMP CAD z uwzględnieniem możliwości prognozowania dokładności pomiarów (Realisation and testing of the CAD CMM CAD IT couplings, considering the aspect of possibilities of measurement accuracy prognostication). In: IVth International Scientific Conference—Coordinate Measuring Technique, pp. 209–221. Lodz University of Technology Scientific Books, branch in Bielsko-Biała, no. 53, Bielsko-Biała (2000)

    Google Scholar 

  115. Sładek, J., Rakoczy, R., Majdosz, R.: Research and realisation of the CAD-CMM-CAD couplings, considering the aspect of possibilities of measurement accuracy prognostication. In: Proceedings of the 2nd International Conference on Surface Machining and Measurements of Sculptured Surfaces, Cracow 20–23 Sept 2000, pp. 71–84

    Google Scholar 

  116. Sładek, J., Krawczyk, M., Ostrowska, K., Gąska, A.: Zastosowanie metody Monte Carlo do wyrażania niepewności pomiarów współrzędnościowych na przykładzie metody wielopozycyjnej (The use of the Monte Carlo method for estimation of coordinate measurements uncertainty on the example of multi-position method). University of Bielsko-Biała Scientific Books no. 81, Bielsko-Biała (2008)

    Google Scholar 

  117. Sładek, J., Ostrowska, K., Gacek, K.: Kinematic metrological model of the coordinate measuring arm (MCMA). In: XIX IMEKO World Congress Fundamental and Applied Metrology, Lisbon, Portugal

    Google Scholar 

  118. Sładek, J., Ostrowska, K., Gąska, A.: Wirtualne współrzędnościowe ramię pomiarowe (WWRP) (Virtual articulated arm coordinate measuring machine (VAACMM), Pomiary Automatyka Kontrola (Measurement Automation and Monitoring), 01/2010

    Google Scholar 

  119. Sładek, J., Ostrowska, K., Gacek, K., Bryndza, M.: Designation of operator impact on errors of measurements realized by coordinate measuring arm. In: Sładek, J., Jakubiec, W. (eds.) Advances in Coordinate Metrology. University of Bielsko-Biała, Bielsko-Biała (2010)

    Google Scholar 

  120. Sładek, J., Sitnik, R., Kupiec, M., Blaszczyk, P: The hibrid coordinate measurement system as a response to industrial requirements, Metrol. Meas. Syst. XVII(1), 109–118` (2010)

    Google Scholar 

  121. Sładek, J., Blaszczyk, P.M., Kupiec, M., Sitnik, R.: The hybrid contact-optical coordinate measuring system. Measurement 44, 503–510 (2011)

    Article  Google Scholar 

  122. Sommer, K.D., Siebert, B.R.L.: Systematic approach to the modelling of measurements for uncertainty evaluation. Metrologia 43, 200–210 (2006)

    Article  Google Scholar 

  123. Summerhays, K.D., Baldwin, J.M., Campbell, D.A., Henke, R.P.: Application of simulation software to coordinate measurement uncertainty evaluation. In: Proceedings of Aspe “Uncertainty Analysis in Measurement and Design”, June–July 2004

    Google Scholar 

  124. Suplement 1 to the “Guide to the expression of uncertainty measurement”. Propagation of distribution using Monte Carlo method, JCGM (2006)

    Google Scholar 

  125. Teichmann, U.: Metrologische Probleme bei der Pruefung von koordinatenmessgeraeten. Feingeraetentechnik, 3 (1978)

    Google Scholar 

  126. Teoh, P.L., Shirinzadeh, B., Foong, C.W., Alici, G.: The measurement uncertainties in the laser interferometry-based sensing and tracking technique. Measurement 32(2), 135–150 (2002)

    Article  Google Scholar 

  127. Takatsuji, T., Goto, M., Kirita, A., Kurosawa, T., Tanimura, Y.: The relationship between the measurement error and the arrangement of laser trackers in laser trilateration. Measur. Sci. Technol. 11(5), 477 (2000)

    Google Scholar 

  128. Trapet, E.: Introduction to traceability with the virtual CMM. In: Proceedings of Workshop on Tracebylity of CMM, PTB-Braunschweig 9–10 Oct 1997

    Google Scholar 

  129. Trapet, E., Waeldele, F.: The virtual CMM concept. In: Ciarlini, PP., Cox, M.G., Pavese, F., Richter, D. (eds.) Advanced Mathematical Tools, II World Conference Scientific, Singapore 1996, pp. 239–247

    Google Scholar 

  130. Trapet, E., et al.: Tracebility of coordinate measurements according to the method of the virtual measuring machine. European Commission SMT- EDG XII/C/5,Project No. Mat.1 CT94-0076 final report

    Google Scholar 

  131. Trapet, E., Franke, M., Hartig, H., Schwenke, H., Waldele, F., Cox, M., Forbes, A., Delbressine, F., Schellekens, P., Trenk, M., Meyer, H., Moritz, G., Guth, Th., Wanner, E.: Tracebility of coordinate measurements according to method of virtual measuring machine. PTB F–35, Braunschweig (1999)

    Google Scholar 

  132. Trenk, M., Franke, M., Schwenke, H.I.: The “Virtual CMM”, a software tool for uncertainty evaluation—practical application in an accredited calibration lab. In: ASPE Proceedings: Uncertainty Analysis in Measurement and Design, July 2004

    Google Scholar 

  133. Treib T.: Error budgeting—applied to calculation and optimisation of the volumetric error field of multiaxis systems. Ann. CIRP 36(1), 365–368 (1987)

    Google Scholar 

  134. VDI/VDE 2617 Genauigkeit von Koordinatenmessgeraten KenngroBen und deren Prufung. Blatt7.Ermittlung der Unsicherheit von Messungen auf Koordinatenmessgeraten durch Simulation VDI/VDE- Richlinien ver. 2008

    Google Scholar 

  135. VDI/VDE 2617 Genauigkeit von Koordinatenmessgeraten KenngroBen und deren Prufung. Blatt 11 Messaufgabenbezogene Messunsicherheit VDI/VDE- Richlinien entwurf 2010

    Google Scholar 

  136. Weckenmann, A.: Ubersicht uber Abnahme und Uberwachungsverfahren fur Mehrkoordinaten-Messgerate. VDI-B 378, 1–10 (1980)

    Google Scholar 

  137. Wendt, K., Schwenke, H., Waldele, F., Krawczyk, M., Kniel, K.: Error mapping of large CMM’s by sequential multi-Iateration using a lasertracker. In: Materials of conference. EUSPEN, 2001

    Google Scholar 

  138. Zhang, G., Veale, R., Charlton, T., Borchardt, B., Hocken, R.: Error compensation of coordinate measuring machines. Ann. CIRP 34(1), 445–447 (1985)

    Google Scholar 

  139. Zhang, G.X., LI, X.H., Lin, Y.B., Liu, S.G., Liu, X.L., LI, X.F., Guo, J.B., Qiu, Z.R., Zhao, S.Z., Jiang, C.Z., Fan, Y.M.: A study on the optimal design of laser-based multi-lateration systems. CIRP Ann. Manuf. Technol. 52(1), 427–430 (2003)

    Google Scholar 

  140. Zhuang, H., Motaghedi, S.H., Roth, Z.S., Bai, Y.: Calibration of multi-beam laser tracking systems. Robot. Comput. Integr. Manuf. 19(4), 301–314 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jerzy A. Sładek .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Sładek, J.A. (2016). Measurement Uncertainty and Requirements of Production System. Selected Issues of Measurement Uncertainty Theory. In: Coordinate Metrology . Springer Tracts in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48465-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-48465-4_2

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48463-0

  • Online ISBN: 978-3-662-48465-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics