Quality Control of Manufactured Surfaces
Recent literature on statistical process monitoring pointed out that the quality of products and processes can be often related to profiles, where the function relating a response to one or more location variables (in time or space) is the quality characteristic of interest. An important application of profile monitoring concerns geometric specifications of mechanical components, such as straightness, roundness or free-form tolerance. This paper presents a new approach aimed at extending the method proposed for profile monitoring to surface monitoring. In this case, a geometric specification (such as cylindricity, flatness, etc.) is assumed to characterize the machined surface. The proposed method is based on combining a Spatial Autoregressive Regression (SARX) model (i.e. a regression model with spatial autoregressive errors) to multivariate and univariate control charting. In this work, the approach is applied to a case study concerning surfaces obtained by turning and subject to cylindricity tolerance.
KeywordsControl Chart Machine Surface Form Error False Alarm Probability Spatial Correlation Structure
Unable to display preview. Download preview PDF.
This paper was partially funded by the Ministry of Education, University and Research of Italy (MIUR).
- 1.ASME Y14.5-M-1994 “Dimensioning and Tolerancing”.Google Scholar
- 4.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), pp. 1–18.Google Scholar
- 5.Cressie, N.A.C. (1993). Statistics for Spatial Data, Revised Edition. John Wiley & Sons, New York, NY.Google Scholar
- 6.Ding, Y., Zeng, L. and Zhou, S. (2006). “Phase I Analysis for Monitoring Nonlinear Profiles in Manufacturing Processes”. Journal of Quality Technology, 38, pp. 199–216.Google Scholar
- 8.ISO 1101:2004 - Geometrical Product Specification (GPS) - Cylindricity (ISO/TS 12180:2003).Google Scholar
- 10.Kang, L. and Albin, S.L. (2000). “On-Line Monitoring When the Process Yields a Linear Profile”. Journal of Quality Technology, 32, pp. 418–426.Google Scholar
- 11.Kim, K., Mahmoud, M.A. and Woodall, W.H. (2003). “On the Monitoring of Linear Profiles”. Journal of Quality Technology, 35, pp. 317–328.Google Scholar
- 12.LeSage, J.P. (1999). “The Theory and Practice of Spatial Econometrics” Department of Economics University of Toledo, available at http://www.spatialeconometrics. com/.
- 14.Williams, J.D., Woodall, W.H., Birch, J.B. and Sullivan J.H. (2006). “Distribution of Hotellings T2 Statistic Based on the Successive Differences Estimator”. Journal of Quality Technology, 38, pp. 217–229.Google Scholar
- 15.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, pp. 309–320.Google Scholar