Summary
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ASME Y14.5-M-1994 “Dimensioning and Tolerancing”.
Cho, N.W. and Tu, J.F. (2001). “Roundness Modeling of Machined Parts for Tolerance Analysis”. Precision Engineering, 25, pp. 35–47.
Colosimo, B. M. and Pacella, M. (2007). “On the Use of Principal Component Analysis to Identify Systematic Patterns in Roundness Profiles”. Quality & Reliability Engineering International, 23(6), pp. 707–725.
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.
Cressie, N.A.C. (1993). Statistics for Spatial Data, Revised Edition. John Wiley & Sons, New York, NY.
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.
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, pp. 273–292.
ISO 1101:2004 - Geometrical Product Specification (GPS) - Cylindricity (ISO/TS 12180:2003).
Jin, J. and Shi, J. (2001). “Automatic Feature Extraction of Waveform Signals for In-Process Diagnostic Performance Improvement”, Journal of Intelligent Manufacturing, 12, pp. 257–268.
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.
Kim, K., Mahmoud, M.A. and Woodall, W.H. (2003). “On the Monitoring of Linear Profiles”. Journal of Quality Technology, 35, pp. 317–328.
LeSage, J.P. (1999). “The Theory and Practice of Spatial Econometrics” Department of Economics University of Toledo, available at http://www.spatialeconometrics. com/.
Mahmoud, M.A. and Woodall, W.H. (2004). “Phase I Analysis of Linear Profiles with Calibration Applications”. Technometrics, 46, pp. 380–391.
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.
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.
Zhang, X.D., Zhang, C., Wang, B. and Feng, S.C. (2005). “Unified Functional Approach for Precision Cylindrical Components”. International Journal of Production Research, 43, pp. 25–47.
Acknowledgments
This paper was partially funded by the Ministry of Education, University and Research of Italy (MIUR).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Physica-Verlag Heidelberg
About this chapter
Cite this chapter
Colosimo, B.M., Mammarella, F., Petrò, S. (2010). Quality Control of Manufactured Surfaces. In: Lenz, HJ., Wilrich, PT., Schmid, W. (eds) Frontiers in Statistical Quality Control 9. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2380-6_4
Download citation
DOI: https://doi.org/10.1007/978-3-7908-2380-6_4
Published:
Publisher Name: Physica-Verlag HD
Print ISBN: 978-3-7908-2379-0
Online ISBN: 978-3-7908-2380-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)