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A design advisor for the optimal inspection of circularity tolerance

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Abstract

In the wake of growing importance for quality and the need to reduce inspection costs simultaneously, the need for a scientific method of selecting an optimum inspection strategy for coordinate measuring machine (CMM) based inspection has become very important. The inspection error resulting from CMM inspection is greatly affected by the profile irregularities and the sampling strategy, which includes sample size, sampling methods, and algorithms used for form evaluation. This paper describes a system that can recommend an optimal inspection plan based on the needs of the user. A design of experiments (DOE) based approach is used to relate the inspection error with sampling strategies. Surface irregularities are included in the form of lobes formed on the profile. A new two-way model is proposed that works in both directions between the sampling strategy and the performance metrics. The results indicate that the number of lobes and the sampling method used have little impact on the inspection error, while the sample size and form evaluation algorithms have a significant influence. An inspection plan advisor is presented, which provides an inspection plan based on the estimated shape and acceptable measurement error.

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References

  1. American Society of Mechanical Engineers (1994) ANSI Y14.5M-1994. National Standard on Dimensioning and Tolerancing, New York

  2. Anand S, Maheshwari N, McCord C (2003) On the selection of CMM based inspection methodology for circularity tolerance. Trans NAMRI/SME, pp 265–272

  3. Caskey G, Hari Y, Hocken R, Palanivelu D, Raja J, Wilson R, Zhang G, Chen K, Yang J (1992) Sampling techniques in coordinate measuring machines. In: Proceedings of the 1992 NSF Design and Manufacturing Systems Conference, Atlanta, Georgia, January 1992, pp 983–988

  4. Dowling MM, Griffin PM, Tsui K-L, Zhou C (1995) A comparison of the orthogonal least squares and minimum enclosing zone methods for form error estimation. Manuf Rev 8:120–138

    Google Scholar 

  5. Dowling MM, Griffin PM, Tsui K-L, Zhou C (1997) Statistical issues in geometric feature inspection using coordinate measuring machines. Technometrics 39(1):3–17

    Article  MATH  Google Scholar 

  6. Hocken RJ, Raja J, Babu U (1993) Sampling issues in coordinate metrology. Manuf Rev 6(4):282–294

    Google Scholar 

  7. Jywe W-H, Liu C-H, Chen C-K (1999) The min-max problem for evaluating the form error of a circle. Measurement 26:237–282

    Article  Google Scholar 

  8. Lee G, Mou J, Shen Y (1997) Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine. Int J Mach Tool Manuf 37(7):917–934

    Article  Google Scholar 

  9. Lin S-S, Varghese P, Zhang C, Wang H-P (1995) A comparative analysis of CMM form-fitting algorithms. Manuf Rev 8(1):47–58

    Google Scholar 

  10. Menq CH, Yau HT, Lai GY, Miller RA (1990) Statistical evaluation of form tolerances using discrete measurement data. In: Proceedings of the Symposium on Advances in Integrated Product Design and Manufacturing, ASME Winter Annual Meeting, Dallas, Texas, November 1990, vol 47, pp 135–149

  11. Montgomery DC (2001) Design and analysis of experiments, 5th edn. Wiley, New York

    Google Scholar 

  12. Rajagopal K, Anand S (1999) Assessment of circularity error using a selective data partition approach. Int J Prod Res 37(17):3959–3979

    Article  MATH  Google Scholar 

  13. Raman S, Kim WS (2000) On the selection of flatness measurement points in coordinate measuring machine inspection. Int J Mach Tool Manuf 40:427–443

    Article  Google Scholar 

  14. Roy U, Zhang X (1992) Establishment of a pair of concentric circles with the minimum radial separation for assessing roundness error. Comput Aided Design 24(3):161–168

    Article  MATH  Google Scholar 

  15. Samuel GL, Shunmugam MS (2000) Evaluation of circularity from coordinate and form data using computational geometric techniques. Precis Eng 24(3):251–263

    Article  Google Scholar 

  16. Sun AYT (1999) An integrated framework for optimal coordinate measuring machine (CMM) based inspection of form tolerances. PhD thesis, University of Cincinnati, Cincinnati, Ohio

  17. Sun AYT, Anand S, Tang JSY (2002) Comprehensive design of experiments-based framework for optimal CMM inspection and uncertainty analysis of form tolerances. Int J Prod Res 40(9):2097–2123

    Article  MATH  Google Scholar 

  18. Varghese P, Zhang C, Wang H-P (1996) A design of experiment approach to the selection of CMM form-fitting algorithms. Int J Prod Res 34(10):2755–2765

    Article  MATH  Google Scholar 

  19. Whitehouse DJ (1994) Handbook of surface metrology. Institute of Physics Publishing, London

    Google Scholar 

  20. Woo TC, Liang R (1993) Dimensional measurement of surfaces and their sampling. Comput Aided Design 25(4):233–239

    Article  Google Scholar 

  21. Woo TC, Liang R, Hsieh CC, Lee NK (1995) Efficient sampling for surface measurement. J Manuf Syst 14(5):345–354

    Article  Google Scholar 

  22. Zhuo W (2000) Sampling and modeling of work piece profiles for form error evaluation. Masters thesis, University of Cincinnati, Cincinnati, Ohio

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Ramaswami, H., Modi, A. & Anand, S. A design advisor for the optimal inspection of circularity tolerance. Int J Adv Manuf Technol 31, 857–870 (2007). https://doi.org/10.1007/s00170-005-0273-9

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  • DOI: https://doi.org/10.1007/s00170-005-0273-9

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