Skip to main content

Simulation Methods for Assessing Accuracy of Measurements

  • Chapter
  • First Online:
Coordinate Metrology

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

  • 1829 Accesses

Abstract

This chapter presents simulation methods for assessing the accuracy of coordinate measurements, which are considered as a continuously tested alternative to the classic methods described in Chap. 3. It describes the bases for modeling measuring systems. It also presents the concept of CMM error identification, which is based on the measurement of reference objects, as a basis for the construction of a virtual measuring machine. Moreover, it reports the concept of virtual CMM as developed by the National Metrology Institute of Germany (in German Physikalisch-Technische Bundesanstalt, PTB), the basis for the ISO/TS 15530-4:2008 standard, using plate standards and models developed in the Laboratory of Coordinate Metrology at Cracow University of Technology (LCM CUT). These include a universal model based on the identification of component errors, other models based on further developments of the matrix method (MM), and on the use of artificial neural networks and the Monte Carlo method-based model. In the last case, both the concept of testing of so-called residual errors and the new principle for the development of virtual CMM for systems using CAA software correction is given. In addition, the description of the virtual model of a coordinate measuring machine for an articulated arm, which is described in Chap. 4, is presented. Here, the rules for the application of measuring system simulators for the task of forecasting coordinate measurement accuracy are also investigated. This chapter discusses the results of research aimed at verifying the correctness of the developed models and the software used to implement virtual CMM and the virtual articulated arm CMM in practice.

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

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, No.1/9 (2010)

    Google Scholar 

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

    Article  Google Scholar 

  3. Bendat, J.S., Piersol, A.G.: Random data: analysis and measurement procedures. Wiley, New York (1971)

    MATH  Google Scholar 

  4. Berndt, G.: Grudlagen und Geräte technischer Längenmessungen. Julius Springer, Berlin (1921)

    Google Scholar 

  5. Berndt, G., Hultzsch, E., Weinhold, H.: Funktionstoleranz und Meßunsicherheit. Wissenschaftliche Zeitschrift der Universität Dresden 17, 465–471 (1968)

    Google Scholar 

  6. Breyer K.H.: Prüfen von Mass, Form und Lage mit Koordinatenmessgeräten. VDI-B 529/84

    Google Scholar 

  7. Dietrich, E., Schultze, A.: Pruefprozesseignung. Hanser Verlag, Munich (2007)

    Google Scholar 

  8. 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 SPIE 4401 Recent Developments in Traceable Dimensional Measurements, SPIE (2001)

    Google Scholar 

  9. 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 

  10. Eumetron GmbH. www.eumetron.de

  11. FMT. www.qfm.uni-erlangen.de

  12. FEINMESS GmbH & Co. KG. www.feinmess.com

  13. Forbes A.B., Peggs G.N.: A large reference artefact for CMM verification. In: Ford, D.G., Postlethwaite, S.R. (eds.) Laser Metrology and Machine Performance III, pp. 394–400. Computational Mechanic Publications, Southampton-Boston (1997)

    Google Scholar 

  14. 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, pp. 35–42. University of Bielsko-Biała, Bielsko-Biała, ISBN 978-83-62292-52-3 (2010)

    Google Scholar 

  15. Krzysztof, G.: Metoda symulacyjna prognozowania dokładności pomiaru współrzędnościowego (Simulation method for forecasting of the accuracy of coordinate measurement). Ph.D. thesis dissertation, Kielce University of Technology, Faculty of Mechatronics and Machine Design (2010) (Advisor, Prof. J.A. Sladek)

    Google Scholar 

  16. Gawlik, J., Kowalski, M., Ryniewicz, A.: Analysis of measurement of precision machines guides. In: 4th International Conference on Ultraprecision in Manu-facturing Engineering. Progress in Precision Engineering and Nanotechno-logy, Braunschweig, Germany, vol. 1, pp. 319–322 (1997)

    Google Scholar 

  17. Gąska, A.: Different uses of Monte Carlo Method in coordinate metrology. In: Xth International Scientific Conference Automation in Production Planning and Manufacturing, Zilina (2009)

    Google Scholar 

  18. Gąska, A.: Modeling of accuracy of coordinate measurement with use of Monte Carlo Method. Ph.D. thesis, Cracow University of Technology, Faculty of Mechanical Engineering (2011) (Advisor, Prof. J.A. Sladek)

    Google Scholar 

  19. Gąska, A., Szewczyk, D., Gąska, P., Gruza, M., Sładek, J.: Usage of I++ simulator to program coordinate measuring machines when common programming methods are difficult to apply. Meas. Sci. Rev. 14(1) (2014). ISSN 1335-8871

    Google Scholar 

  20. Gąska, A., Krawczyk, M., Kupiec, R., Ostrowska, K., Gąska, P., Sładek, J.: Modeling of the residual kinematic errors of coordinate measuring machines using lasertracer system. Int. J. Adv. Manuf. Technol. (2014). doi:10.1007/s00170-014-5836-1

    Google Scholar 

  21. Giusca, C.L., Leach, R.K., Forbes, A.B.: A virtual machine-based uncertainty evaluation for a traceable areal surface texture measuring instrument. Measurement 44(5), 988–993 (2011)

    Article  Google Scholar 

  22. Grzelka, M., Gapiński, B., Marciniak, L., Wieczorowski, M., Matliński, K., Olszewska, I.: Pomiary cech geometrycznych przedmiotów obrotowo-symetrycznych (Measurements of geometrical features of rotationally symetrical elements). Pomiary Automatyka Kontrola (Measurement Automation and Monitoring), pp. 35–37 (2010)

    Google Scholar 

  23. Hartmann, W.W., Geise, G.: Displaydarstellungen als Entscheidungshilfe für Messauswertungsstrategien in der Koordinatenmesstechnik. Feingerätetech-nik (1984)

    Google Scholar 

  24. 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 SPIE 4401 Recent Developments in Traceable Dimensional Measurements, SPIE 2001

    Google Scholar 

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

    Google Scholar 

  26. Hernla, M.: Aufgabenspezifische Meßunsicherheit bei Koordinatenmessung TM 64 7/8, pp. 286–293. Oldenburg Verlag (1997)

    Google Scholar 

  27. Hertz, J., Krogh, A., Palmer R.G.: Introduction to the Theory of Neural Computation, pol. edition II, Warsaw (1995)

    Google Scholar 

  28. Hexagon Metrology. www.mtwz.de

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

    Google Scholar 

  30. Immarco P.: Neural Nets for the Rest of Us. NeuroShell 2 Opens a Window, PC-AJ, pp. 34–36 (1993)

    Google Scholar 

  31. ISO 10360 part 5—CMMs using single and multiple stylus contacting probing systems, 2nd edn, 15 Sept 2010

    Google Scholar 

  32. ISO/CD TS 15530-2—Use of multiple measurement strategies

    Google Scholar 

  33. ISO/TS 15530-4:2008—Evaluating tasc-specific measurement uncertainty using simulation

    Google Scholar 

  34. ISO/TS 23165:2006—Geometrical product specifications (GPS)—Guidelines for the evaluation of coordinate measuring machine (CMM) test uncertainty

    Google Scholar 

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

    Article  Google Scholar 

  36. 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, pp. 115–118, Bielsko-Biała (2000)

    Google Scholar 

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

    Article  Google Scholar 

  38. Juras, B.: Metoda pomiaru zarysu o zmiennej krzywiźnie na współrzędnościowej maszynie pomiarowej (Method for measuring the freeform profile with the use of coordinate measuring machine). Ph.D. thesis, Cracow University of Technology (1997)

    Google Scholar 

  39. Korbicz, J., Obuchowski, A., Uciński, D.: Sztuczne sieci neuronowe. Podstawy i zastosowania (Artificial neural networks. Bases and applications), Warsaw (1994)

    Google Scholar 

  40. 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). Ph.D. thesis, Cracow University of Technology (1993)

    Google Scholar 

  41. 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 

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

    Google Scholar 

  43. 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 (1999)

    Google Scholar 

  44. Kowalski, M., Sładek, J., et al.: 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). Final Report of KBN Research Project PB 1367/T07/95/08, Cracow University of Technology 1998, not published

    Google Scholar 

  45. 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, Lodz University of Technology Scientific Books, branch in Bielsko-Biała, no. 44, pp. 71–80 (1998)

    Google Scholar 

  46. Kruth, J.-P., Van Gestel, N., Bleys, P., Welkenhuyzen, F.: Uncertainty determination for CMMs by Monte Carlo simulation integrating feature form deviations. CIRP Ann. Manufact. Technol. 58(1), 463–466 (2009)

    Google Scholar 

  47. Kupiec, M.: Optyczno-stykowa metoda pomiarów współrzędnościowych (Optical-contact method for coordinate measurements). Ph.D thesis, Cracow University of Technology (Advisor, Prof. J.A. Sladek 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, Ministry of Science and Higher Education)

    Google Scholar 

  48. Leitfaden zum Fähigkeitsnachweis von Messsystemen/Measurement System Capability. Reference Manual, Q-DAS GmbH, Weinheim (2002). www.qdas.com/fileadmin/files2/qdasguidelinemsa/Leitfaden_v21_me.pdf

  49. Lotze, W., Teichmann, U.: Einfluss von Gestalt—und Lageabweichungen auf die Unsicherheit der Rechnergestützehn Koordinatenmessung. Feingerätetechnik 8, 139–343 (1976)

    Google Scholar 

  50. Lotze, W.: Form testing by means of the universal CMM ScanMax. In: IIIrd International Scientific Conference—Coordinate Measuring Technique, Lodz University of Technology Scientific Books, branch in Bielsko-Biała, no. 44, pp. 82–90 (1998)

    Google Scholar 

  51. Mailhe, J., Aranda, S., Linares, J.-M., Sprauel, J.-M.: Impact of datum feature uncertainties on tolerance zone. In: 10th CIRP Conference on Computer Aided Tolerancing, Erlangen, Germany, March 2007

    Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  55. Mandziuk, J.: Sieci neuronowe typu Hopfielda. Teoria i przykłady zastosowań (Hopfield-type neural networks. Theory and application examples) EXIT, Warsaw (2000)

    Google Scholar 

  56. MegaKal—Virtual Machine developed in PTB Reference manual (1995)

    Google Scholar 

  57. Metropolis, N., Ulam, S.: The Monte Carlo Metod. J. Am. Stat. Assoc. 44(247), pp. 335–341 (1949)

    Google Scholar 

  58. Metrosage. www.metrosage.com

  59. Nałęcz, M.: In: Duch, W., Korbicz, J., Rutkowski, L., Tadeusiewicz, R. (eds.) Biocybernetyka i inżynieria biomedyczna (Biocybernetics and biomedical engineering), vol. 6: Sieci neuronowe (Neural networks). Polish Academy of Sciences, EXIT, Warsaw (2000)

    Google Scholar 

  60. Nawara, L., Sładek, J.: Influence of Surface State on the Measuring Accuracy Measuring Machine. In: 7th International Conference on Production Engineering, Tokyo Japan, July 1984, pp. 696–671

    Google Scholar 

  61. Nawara, L., Kowalski, M., Sładek, J.: Badania metrologiczne maszyn pomiarowych i urządzeń ze szczególnym uwzględnieniem dokładności geometrycznej, pozycjonowania i strategii pomiarów (Metrology tests of measuring machines and devices with special include of geometrical accuracy, positioning and measurement strategy), Subtopic 1, Works of ZMiKT PK under CPBP no. 02.20, 1985–1989

    Google Scholar 

  62. NeuroShell2 4.0—Software for creating neural networks of Ward System INC Ref. Man

    Google Scholar 

  63. Oberkampf, W.L., DeLand, S.M., Rutherford, B.M., Diegert, K.V., Alvin, K.F.: Error and uncertainty in modeling and simulation. Reliab. Eng. Syst. Saf. 75(3), 333–357 (2002)

    Article  Google Scholar 

  64. Ostrowska, K.: Accuracy assessment method for measurements done with the use of articulated arm coordinate measuring machines. Ph.D thesis, Cracow University of Technology, Faculty of Mechanical Engineering, 2010 (Thesis Advisor, Prof. J.A. Sladek)

    Google Scholar 

  65. Ostrowska, K., Gąska, A., Sładek, J.: Determining the uncertainty of measurement with the use of a Virtual Coordinate Measuring Arm. Int. J. Adv. Manufact. Technol. 71(1–4), 529–537(9) (2014). doi:10.1007/s00170-013-5486-8

    Google Scholar 

  66. PCDMIS Hexagon Metrology—User Manual

    Google Scholar 

  67. Pedone, P., Romano, D.: Designing small samples for form error estimation with coordinate measuring machines. Precision Eng. 35(2), 262–270 (2011)

    Article  Google Scholar 

  68. Phillips, S.D., et al.: The calculation of CMM measurement uncertainty via the method of simulation by constraints. Am. Soc. Precision Eng. 16, 443–446 (1997)

    Google Scholar 

  69. Phyton Open Software

    Google Scholar 

  70. 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 

  71. Pressel, H.G., Hageney, T.: Messunsicherheit von Pruefmerkmalen iin der koordinatenmesstechnik. Expert Verlag (2008)

    Google Scholar 

  72. QUINDOS Programming System for Dimension Metrology, Rreference Manual

    Google Scholar 

  73. Renishaw Sp. z.o.o., www.renishaw.com.pl

  74. Ryniewicz, A., Kowalski, M., Rewilak, J., Sładek, J.: Laser measurement of guides and travelling units of CMMs and CNC machine tools. In: 7th International DAAAM Symposium: Product and Manufacturing, Flexibility, Integration, Intelligence, Technical University of Vienna, 17–19 Oct 1996

    Google Scholar 

  75. Schwenke, H.: Bedienanleitung MegaKal, KalKom, TKal, PKal, KalKmess, PTB, Braunschweig (1996–1999)

    Google Scholar 

  76. Schwenke, H.: Abschätzung von Messunsicherheiten durch Simulation an Beispielen aus der Fertigungsmesstechnik. Dissertation der Technischen Universität Chemnitz—PTB-F 36 Braunschweig, Juli 1999

    Google Scholar 

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

    Google Scholar 

  78. Schwenke, H., Siebert, B.R.L., Wäldele, F., Kunzmann, H.: Assessment of Uncertainties in Dimensional Metrology by Monte Carlo simulation: proposal of a modular and visual software. CIRP Ann. Manufact. Technol. 49(1), 395–398 (2000)

    Google Scholar 

  79. Simulator I++ Messtechnik Wetzlar—software description

    Google Scholar 

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

    Google Scholar 

  81. Sładek, J.: The examination of multicoordinate measuring devices (MMD) by means of circular standards. In: Proceedings of International Conference MATE—“Automation 92”, Budapest, Hungary, 18–19 Feb 1992, pp. 333–339

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  84. Sładek, J.: Strategy of applying coordinate metrology in quality assurances systems with regards to a measuring accuracy. In: D.G. Ford, S.R. Postlethwaite (eds.) Laser Metrology and Machine Performance, 3rd edn. Computational Mechanic Publications, Southampton-Boston (1997)

    Google Scholar 

  85. Sładek, J.: Modelowanie współrzędnościowych maszyn pomiarowych—macierzowa metoda identyfikacji błędów (Modeling of coordinate measuring machines—Matrix method for errors identification). In: Proceedings of VIIIth Scientific-Technical Conference Metrologia w technikach wytwarzania maszyn (Metrology in Machine Production), Szczecin, pp. 437–444 (1999)

    Google Scholar 

  86. Sładek, J.: Errors identification and measurement accuracy assessment of coordinate measuring machines (CMM). Adv. Technol. Mach. Equip., PAN 23(4), 113–136 (1999)

    Google Scholar 

  87. 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 

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

    Google Scholar 

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

    Google Scholar 

  90. Sładek, J.: The relationship between measuring machines performance specifications and their real capability to solve given measurement tasks. In: METROMEET 2005 International Conference on Industrial Dimensional Metrology Bilbao (Spain), Euskalduna Jauregia Invited lecture, 7–8 Apr 2005

    Google Scholar 

  91. 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 

  92. 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, Ministry of Science and Higher Education (2008–2010)

    Google Scholar 

  93. Sładek, J., Gawlik, K.: Symulacja pomiarów współrzędnościowych jako narzędzie oceny i prognozy ich dokładności. Inżynieria Maszyn (Coordinate measurements simulation as a tool for assessment and prediction of their accuracy. Machine Engineering). Scientific Book No. 4, pp. 74–89 (2007)

    Google Scholar 

  94. Sładek, J., Gawlik, K.: Looking for uncertainty of measurement—Virtual Machines based on the Matrix Method using artificial neural networks. In: IV International Congress on Precision Machining 2007, Sandomierz-Kielce (2007)

    Google Scholar 

  95. Sładek, J, Gąska, A.: Modeling of CMM probe head errors. In: Proceedings of 10th ISMQC—TC14 IMEKO, Osaka, Japan, 5–9 Sep 2010

    Google Scholar 

  96. Sładek, J., Gąska, A.: Evaluation of coordinate measurement uncertainty with use of virtual machine model based on Monte Carlo method. Measurement 45, 1564–1575 (2012)

    Article  Google Scholar 

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

    Google Scholar 

  98. Sładek, J., Rakoczy, R.: CMM virtual modelling applied for measuring accuracy assessment. In: Proceedings of 1st International Workshop on CMM Calibration. The Czech Metrological Institute, Prague Czech Republic, 1–2 June 1999

    Google Scholar 

  99. 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, Committee on Machine Building of the Polish Academy of Sciences, Technology Bases Section, Scientific Book no. 63, Cracow University of Technology, pp. 193–206 (1999)

    Google Scholar 

  100. Sładek, J., Szewczyk, D.: Wykorzystanie Simulatora I++ w nauczaniu metrologii współrzędnościowej i pracach badawczych (The application of the I++ simulator to coordinate metrology teaching and to research work). In: Proccedings of XIV National and V International scientific-technical conference “Metrology in Production Engineering”. Warsaw University of Technology (2011)

    Google Scholar 

  101. 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, P., Weck, M., Huemmler, J. (eds.) Progress in Precision Engineering and Nanotechnology, vol. 1, pp. 323–326. PTB-Braunschweig u. Berlin P.u.Oe–Verlag (1997)

    Google Scholar 

  102. Sładek, J., Rakoczy, R., Majdosz, R.: Realizacja i badanie powiązań informatycznych CAD WMP CAD z uwzględnieniem możliwości prognozowania dokładności pomiarów (Realization 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 

  103. Sładek, J., Rakoczy, R., Majdosz, R.: Research and realization 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 

  104. Sładek, J., et al.: System metrologicznego nadzoru nad dokładnością maszyn pomiarowych robotów i obrabiarek z wykorzystaniem wzorców interferometrycznych laserowych systemów śledzących jako podst. wzrostu jakości produkcji przemysłu maszynowego (Metrological monitoring system for accuracy of measuring machines, robots and tools using interferometric standards of laser tracking systems as a base for a growth of production quality of machinery industry). Research and Development Project no. R03 029 01 Ministry of Science and Higher Education (2006–2009)

    Google Scholar 

  105. Sładek, J., Krawczyk, M., Gawlik, K.: Muzyka-Żmudzki M.: the assessment of the coordinate measurement accuracy based on Matrix Method with use of artificial neural networks. In: X CIRP Conference on Computer Aided Tolerancing, Germany, p. 33 (2007)

    Google Scholar 

  106. 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). Bielsko Biała Scientific books no. 81-2008

    Google Scholar 

  107. 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, 6–11 Sept 2009

    Google Scholar 

  108. Sładek, J., Kupiec, R., Gąska, A., Kmita, A.: Modelowanie czynników temperaturowych, wpływających na niepewność pomiaru, przy pomocy metody Monte Carlo (Temperature factors affecting the measurement uncertainty modeling with the use of Monte Carlo method). Pomiary Automatyka Kontrola (Measurement Automation and Monitoring) 01/2010

    Google Scholar 

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

    Google Scholar 

  110. Sładek, J., Juras, B., Krawczyk, M., Gąska, A.: Modelling of the probing system errors by use of Monte Carlo Method. In: Sładek, J., Jakubiec, W. (eds.) Advances in Coordinate Metrology, Monograph. University of Bielsko-Biała (2010)

    Google Scholar 

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

    Google Scholar 

  112. Sładek, J., Błaszczyk, P.M., Kupiec, M., Sitnik, R.: The hybrid contact–optical coordinate measuring system—Elservier. Measurement 44, 503–510 (2011)

    Article  Google Scholar 

  113. Sładek, J., Gąska, A., Olszewska, M., Kupiec, R., Krawczyk, M.: Virtual coordinate measuring machine built using laser tracer system and spherical standard. Metrol. Meas. Syst. M&M XX(1), pp. 77–86, doi:10.2478/mms-2013-007.JCR, ISSN 0860-8229 (2013)

  114. 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 

  115. 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 

  116. Suplement 1 to the Guide to the expression of uncertainty measurement .Propagation of distribution using Monte Carlo method, JCGM 2006

    Google Scholar 

  117. Sweeney, J.: NeuroShell2 Technical Analysis, materials of Ward System INC

    Google Scholar 

  118. Sweeney, J.: NeuroShell 4.1. Technical Analysis of STOCK&COMMODITIES 1992–98

    Google Scholar 

  119. Tadeusiewicz, R.: Sieci neuronowe,(Neural networks) PWN, Warsaw 1993

    Google Scholar 

  120. Tadeusiewicz, R.: Elementarne wprowadzenie do techniki sieci neuronowych z przykładowymi programami (Elementary introduction to neural network technique with examplary programs). Akademicka Oficyna Wydawnicza, Warsaw (1998)

    Google Scholar 

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

    Google Scholar 

  122. Trac Cal—software for identification of CMS component errors with the use of laser tracer or laser tracker

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  125. Trapet, E., Franke, M., Härtig, H., Schwenke, H., Wäldele, F., Cox, M., Forbes, A., Delbressine, F., Schellekens, P., Trenk, M., Meyer, H., Moritz, G., Guth, Th., Wanner, E.: Traceability of coordinate measurements according to method of virtual measuring machine. PTB F-35, Braunschweig (1999)

    Google Scholar 

  126. Trapet, E., et al.: Traceability 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 

  127. 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 

  128. VDI/VDE 2617—Blatt7.Ermittlung der Unsicherheit von Messungen auf Koordinatenmessgeräten durch Simulation VDI/VDE- Richlinien ver. 2008

    Google Scholar 

  129. Wäldele, F., Drieschner, R., Elligsen, R.: Testing of coordinate measuring machines algorithmus. Phase 2, BCR-Information EUR 13 417 EN Brussels, Luxemburg (1991)

    Google Scholar 

  130. Wäldele, F., Bittner, B., Busch, K., Drieschner, R., Elligsen, R.: Testing of coordinate measuring machine software. Precision Eng. 15, 121–123 (1993)

    Article  Google Scholar 

  131. Weckenmann, A., Knauer, M.: Causes and consequences of measurement uncertainty in production metrology. In: Ossana, P.H., Postrednik, D., Durakbasa, N.M. (eds.) Proceedings of 6th ISMQC IMEKO Symposium, Wien, Austria, 8–10 Sept 98, pp. 693–698

    Google Scholar 

  132. Wirtual MMC /Virtual MMC—simulation software for determining uncertainty of CMM measurements with the use of Monte Carlo method Python Software Application developed at Cracow University of Technology Lab of Coordinate Metrology

    Google Scholar 

  133. Virtual Neuro WMP/Virtual Neuro CMM—Neural CMM model (Application C++) developed at Cracow University of Technology

    Google Scholar 

  134. Wirtual PK/Virtual CUT—CMM model (Application C++) developed at Cracow University of Technology under the development project no. PB1367/T07/95/08

    Google Scholar 

  135. Wyrażanie niepewności pomiaru—przewodnik. Główny Urząd Miar [Guide to the Expression of Uncertainty in Measurement (GUM)], ISO 1993/1995 with the addition to polish edition of J.M. Jaworski Warsaw (1999)

    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). Simulation Methods for Assessing Accuracy of Measurements. In: Coordinate Metrology . Springer Tracts in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48465-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-48465-4_5

  • 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