Statistical Process Control for Geometric Specifications

Statistical Analysis of Profile Monitoring

Volumn , Issue , 2011, Pages 217-252

  Colosimo, Bianca Maria ^a   Semeraro, Quirico ^a   Pacella, Massimo ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF SALENTO   (Italy)

Author keywords

2D geometric feature concerning circularity circular profile measured, using coordinate measuring machines (CMMs); From 2D profiles to 3D surfaces combining Chebyshev polynomials and sinusoidal functions, representing axial and circular errors; Statistical process control (SPC) for geometric specifications SPC area, profile monitoring approach

Indexed keywords

COORDINATE MEASURING MACHINES; GEOMETRY; POLYNOMIALS; SPECIFICATIONS;

3D SURFACE; GEOMETRIC FEATURE; PROFILE MONITORING;

STATISTICAL PROCESS CONTROL;

EID: 84949807771     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781118071984.ch8     Document Type: Chapter

References (40)

1. Boeing Commercial Airplane Group, Quality Assurance Department, 1998. Advanced quality system tools, AQS D1-9000-1. [Accessed March 2011].
2. Chang, T. C. and Gan, F. F. (2006) Monitoring linearity of measurement gauges. Journal of Statistical Computation and Simulation, 76(10), 889-911.
3. Cho, N.W. and Tu, J. F. (2001) Roundness modeling of machined parts for tolerance analysis. Precision Engineering, 25(1), 35-47.
4. Cho, N. W. and Tu, J. F. (2002) Quantitative circularity tolerance analysis and design for 2D precision assemblies. International Journal of Machine Tools & Manufacture, 42(13), 1391-1401.
5. Colosimo, B. M. and Pacella, M. (2007) On the use of principal component analysis to identify systematic patterns in roundness profiles. Quality and Reliability Engineering International, 23(6), 707-725.
6. Colosimo, B. M., Pacella, M., and Semeraro, Q. (2008) Statistical process control for geometric specifications: On the monitoring of roundness profiles. Journal of Quality Technology, 40(1), 1-18.
7. Colosimo, B. M., Mammarella, F., and Petro, S. (2010) Quality control of manufactured surfaces. In: Frontiers of Statistical Quality Control 9, edited by H. J. Lenz and P. T. Wilrich. Springer, New York.
8. Colosimo, B. M. and Pacella, M. (2010) A comparison study of control charts for statistical monitoring of functional data. International Journal of Production Research, 48(6), 1575-1601.
9. Cressie, N. A. C. (1993) Statistics for Spatial Data, Revised edition. JohnWiley & Sons, Inc., New York.
10. Ding, Y., Zeng, L., and Zhou, S. (2006) Phase I analysis for monitoring nonlinear profiles in 755 manufacturing processes. Journal of Quality Technology, 38(3), 199-216.
11. Forbes, B. (1994) Algorithms for Geometrical Tolerance Assessment. Report DITC 228/94. National Physical Laboratory, UK.
12. Gupta, S., Montgomery, D. C., and Woodall, W. H. (2006) Performance evaluation of two methods for online monitoring of linear calibration profiles. International Journal of Production Research, 44(10), 1927-1942.
13. Henke, R. P., Summerhays, K. D., Baldwin, J. M., Cassou, R. M., and Brown, C. W. (1999) Methods for evaluation of systematic geometric deviations in machined parts and their relationships to process variables. Precision Engineering, 23(4), 273-292.
14. Jackson, J. E. (2003) A User's Guide to Principal Components. JohnWiley & Sons, Inc., New York.
15. Jensen, W. A., Birch, J. B., and Woodall, W. H. (2008) Monitoring correlation within linear profiles using mixed models. Journal of Quality Technology, 40(2), 167-183.
16. Jin, J. and Shi, J. (1999) Feature-preserving data compression of stamping tonnage information using wavelets. Technometrics, 41, 327-339.
17. Jin, J. and Shi, J. (2001) Automatic feature extraction of waveform signals for in-process diagnostic performance improvement. Journal of IntelligentManufacturing, 12, 257-268.
18. Jolliffe, I. T. (2002) Principal Component Analysis, 2nd Edition. Springer, Springer Series in Statistics, New York.
19. Kang, L. and Albin, S. L. (2000) On-line monitoring when the process yields a linear profile. Journal of Quality Technology, 32, 418-426.
20. Kim, K., Mahmoud, M. A., and Woodall, W. H. (2003) On the monitoring of linear profiles. Journal of Quality Technology, 35, 317-328.
21. LeSage, J. P. (1999) The Theory and Practice of Spatial Econometrics. Available at http://www.spatialeconometrics.com/.
22. Mahmoud, M. A. and Woodall, W. H. (2004) Phase I analysis of linear profiles with calibration applications. Technometrics, 46, 377-391.
23. Mahmoud, M. A., Parker, P. A., Woodall, W. H., and Hawkins, D. M. (2007) A change point method for linear profile data. Quality & Reliability Engineering International, 23(2), 247-268.
24. Montgomery, D. C. (2004) Introduction to Statistical Quality Control, 5th Edition. JohnWiley & Sons, Inc., New York.
25. Moroni, G. and Pacella, M. (2008) An approach based on process signature modeling for roundness evaluation of manufactured items. Journal of Computing and Information Science in Engineering, 8(2), 021003-1-021003-10.
26. Nomikos, P. and MacGregor, J. F. (1995) Multivariate SPC charts for monitoring batch processes. Technometrics, 37, 41-59.
27. Ramsay, J. O. and Silverman, B. W. (2005) Functional Data Analysis, 2nd Edition. Springer, Springer Series in Statistics, New York.
28. Simes, R. J. (1986) An improved Bonferroni procedure for multiple tests of significance. Biometrika, 73(3), 751-754.
29. Stover, F. S. and Brill, R. V. (1998) Statistical quality control applied to ion chromatography calibrations. Journal of Chromatography, A, 804, 37-43.
30. Walker, E. and Wright, S. P. (2002) Comparing curves using additive models. Journal of Quality Technology, 34, 118-129.
31. Whittle, P. (1954) On stationary processes in the plane. Biometrika, 41, 434-449.
32. Williams, J. D., Woodall, W. H., Birch, J. B., and Sullivan, J. H. (2006) Distribution of Hotelling's T2 statistic based on the successive differences estimator. Journal of Quality Technology, 38, 217-229.
33. Williams, J. D., Woodall, W. H., and Birch, J. B. (2007) Statistical monitoring of nonlinear product and process quality profiles. Quality and Reliability Engineering International, 23(8), 925-941.
34. Woodall, W. H., Spitzner, D. J., Montgomery, D. C., and Gupta, S. (2004) Using control charts to monitor process and product quality profiles. Journal of Quality Technology, 36(3), 309-320.
35. Woodall, W. H. (2007) Current research on profile monitoring. Produção, 17(3), 420-425.
36. Young, T. M., Winistorfer, P. M., andWang, S. (1999) Multivariate control charts of MDF and OSB vertical density profile attributes. Forest Products Journal, 49, 79-86.
37. Zhang, H. and Albin, S. (2009) Detecting outliers in complex profiles using a 2 control chart method. IIE Transactions, 41(4), 335-345.
38. Zhang, X. D., Zhang, C., Wang, B., and Feng, S. C. (2005) Unified functional tolerancing approach for precision cylindrical components. International Journal of Production Research, 43(1), 25-47.
39. Zou, C. L., Zhang, Y. J., andWang, Z. J. (2006) A control chart based on a change-point model for monitoring linear profiles. IIE Transactions, 38(12), 1093-1103.
40. Zou, C. L., Tsung, F. G., and Wang, Z. J. (2008) Monitoring profiles based on nonparametric regression methods. Technometrics, 50(4), 512-526.