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Approach for uncertainty analysis and error evaluation of four-axis co-ordinate measuring machines

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Abstract

In the present investigation, a new form of space frame for error evaluation and uncertainty analysis of four-axis co-ordinate measuring machines (CMMs) is proposed and applied. The novel space frame comprises a ball plate that incorporates seven high accuracy spheres. The volumetric error data obtained when a CMM measures the space frame, in different angular locations, can be used to verify whether a CMM maintains the manufacturer specifications. The experimental results have demonstrated that this space frame provides a practical and cost effective mechanical artifact to assessing the volumetric performance of four-axis CMMs. The developed technique can be applied for verification, periodic re-verification and acceptance test of any type of four-axis CMMs.

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References

  1. Srivastava AK, Veldhuis SC, Elbestawit MA (1995) Modeling geometric and thermal errors in a five-axis CNC machine tool. Int J Mach Tools Machine 35(9):1321–1337

    Article  Google Scholar 

  2. Silva JBA, Burdekin M (2002) A modular space frame for assessing the performance of co-ordinate measuring machine (CMMs). Int Journal of the Inter Soc for Precision Engineering and Nanotechnology 26(1):37–48

    Google Scholar 

  3. Bryan JB (1982) A simple method for testing measuring machines, and machine tools. Part 1: principles and applications. Precis Eng 4(2):61–68. Part2: Construction details 4(3):125–138

  4. Ziegert JC, Mize CD (1994) Laser ball-bar: a new instrument for machine tool metrology. Int Journal of the Inter Soc for Precision Engineering and Nanotechnology 16(1):259–267

    Google Scholar 

  5. Lee MC, Ferreira PM (2002) Auto-triangulation and auto-trilateration, part 2: Three-dimensional experimental verification. Int Journal of the Inter. Soc. For Precision Engineering and Nanotechnology. 26:250–262

    Google Scholar 

  6. Pahk HJ, Burdekin M (1991) Evaluation of the effective parametric errors in co-ordinate measuring machines using the locus of stylus on the horizontal plane. Proc Instn Mech Engrs 205:123–138

    Google Scholar 

  7. Huang PS, Ni J (1995) On line error compensation of co-ordinate measuring machines. Int J Machine Tools Manu 35:725–738

    Article  Google Scholar 

  8. Kunzmann H et al (2005) Error mapping of CMMs and machine tools by a single tracking interferometer. Annlas of the CIRP 54(1)

  9. Umetsu K, Furutnami R, Osawa S (2005) Geometric calibration of coordinate measuring machine using a laser tracking system. Inst of physics pub. Meas Sci Technol 16:2466–2472

    Article  Google Scholar 

  10. Hocken RJ et al (1986) A general methodology for machine tool accuracy enhancement by error compensation. Precis Eng 8(4):187–196

    Article  Google Scholar 

  11. Zhang GX, Zang YF (1991) A method for machine calibration using 1-D ball array. Annals of the CIRP 40(1):519–522

    Article  Google Scholar 

  12. Arriba L, Trapet E, Bartscher M, Franke M, Balsamo A, Costelli G, Torre S, Kitzsteiner F, San Martín F (1999) Methods and artifacts to calibrate Large CMMs In: Proceedings of the 1st international EUSPEN conference. Bremen, ISBN 3–8265–6085-X, Vol. 2, S. 391–394

  13. Bartscher M, Busch K, Franke M, Schwenke H, Wäldele F (2000) New artifacts for calibration of large CMMs. ASPE, Proceedings of the 5th Annual Meeting, Scottsdale (Arizona)

  14. Härtig F, Keck C, Kniel K, Schwenke H, Wendt K, Wäldele F (2002) Accuracy enhancement of a co-ordinate measurement machine by flexible intergration of a precision tracking interferometer, Proceedings of the 3rd International Conference EUSPEN 2, S. 541–544

  15. Knapp W, Bringmann B, Kung A (2005) A measuring artifact for true 3D Machine testing and calibration. Annals of the CIRP 54(1)

  16. Chiffre L, Hansen HN, Morace RE (2005) Comparison of coordinate measuring machine using optomechanical hole plate. Annals of the CIRP 54(1)

  17. Florussen GHJ, Delbresine FLM, Molengraf MJG, Schellekens PHJ (2001) Assessing geometrical errors of multi-axis machines by three-dimensional length measurements. Measurement 30:241–255

    Article  Google Scholar 

  18. Lei WT, Hsu YY (2002) Accuracy test of five-axis machine tool with 3D probe-ball Part I: design and modeling. Int J Manuf Technol 42:1153–1162

    Google Scholar 

  19. Lei WT, Hsu YY (2002) Accuracy test of five-axis machine tool with 3D probe-ball Part II: errors estimation. Int J Manuf Technol 42:1163–1170

    Google Scholar 

  20. Lei WT, Hsu YY (2003) Accuracy enhancement of five-axis CNC machines through real time error compensation. Int J Manuf Technol 43:871–877

    Google Scholar 

  21. Lin Y, Shen Y (2003) Modelling of five-axis machine tool metrology models using the matrix summation approach. Int J Manuf Technol 21:243–248

    Article  Google Scholar 

  22. Weikert S, Knapp W (2004) R-test, a new device for accuracy measurement on five-axis machine tools. Annals of CIRP 53(1):429–432

    Article  Google Scholar 

  23. Bring B, Knapp W (2006) Model-based ‘Chase-the-Ball’ calibration of a 5-axes machining center. CIRP 1

  24. Terrier M, Gimenez M, Hascoet JY (2005) VERNE- a five-axis parallel kinematics milling machine. Porc IMechE 219(part B):327–336

    Article  Google Scholar 

  25. Hocken RJ (1980) Machine tool task force, machine accuracy. Technology of machine tools, Vol. 5, Lawrence Livermore National Laboratory, University of California. Report No. UCRL-52960–5, pp 1–85

  26. Slocum AH (1992) Precision machine design. Prentice Hall, Upper Saddle River

    Google Scholar 

  27. ISO 10360, part 2: Performance assessment of coordinate measuring machines, 1999

  28. BS 6808, British Standard co-ordinate measuring machines Part 2 Methods for verification of performance, 1987

  29. ANSI/ASME B89.3.4M, Axes of Rotation, Methods for specifying and Testing, 2004

  30. ISO 10360, part 3, CMMs with axis of rotary table as fourth axis, 2000

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Authors and Affiliations

  1. Department of Mechanical Engineering, Federal University of Paraiba, 58059–900, João Pessoa -Pb, Brazil

    Joao Bosco de Aquino Silva

  2. Center for Precision Metrology, University of North Carolina at Charlotte, 9201, University City Blvd, NC, 28223, USA

    Robert J. Hocken, Jimmie A. Miller, Gregory W. Caskey & Prashanth Ramu

Authors
  1. Joao Bosco de Aquino Silva
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  2. Robert J. Hocken
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  3. Jimmie A. Miller
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  4. Gregory W. Caskey
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  5. Prashanth Ramu
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Correspondence to Joao Bosco de Aquino Silva.

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de Aquino Silva, J.B., Hocken, R.J., Miller, J.A. et al. Approach for uncertainty analysis and error evaluation of four-axis co-ordinate measuring machines . Int J Adv Manuf Technol 41, 1130–1139 (2009). https://doi.org/10.1007/s00170-008-1552-z

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  • DOI: https://doi.org/10.1007/s00170-008-1552-z

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