Application and Use of Multivariate Control Charts in a BTA Deep Hole Drilling Process | SpringerLink
Skip to main content

Application and Use of Multivariate Control Charts in a BTA Deep Hole Drilling Process

  • Conference paper
Classification — the Ubiquitous Challenge

Abstract

Deep hole drilling methods are used for producing holes with a high length-to-diameter ratio, good surface finish and straightness. The process is subject to dynamic disturbances usually classified as either chatter vibration or spiralling. In this paper, we will focus on the application and use of multivariate control charts to monitor the process in order to detect chatter vibrations. The results showed that chatter is detected and some alarm signals occur at time points which can be connected to physical changes of the process.

The work of Winfried Theis and Claus Weihs has been supported by the Deutsche Forschungsgemeinschaft, Sonderforschungsbereich 475.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 22879
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 28599
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • GIBBONS, J. D. and CHAKRABORTI, S. (1992): Nonparametric Statistical Inference, 3rd ed. Marcel Dekker, New York.

    Google Scholar 

  • HACKL, P. and LEDOLTER, J. (1992): A New Nonparametric Quality Control Technique. Communications in Statistics-Simulation and Computation, 21, 423–443.

    MathSciNet  Google Scholar 

  • LIU, Y. R. (1990): On a notion of data depth based on random simplices. The Annals of Statistics, 18, 405–414.

    MATH  MathSciNet  Google Scholar 

  • LIU, Y. R. (1995): Control Charts for multivariate Processes. Journal of the American Statistical Association, 90, 1380–1387.

    Article  MATH  MathSciNet  Google Scholar 

  • LIU, Y. R., PARELIUS, J. M. and SINGH, K. (1999): Multivariate analysis by data depth: Descriptive Statistics, Graphics and Inference. The Annals of Statistics, 27, 783–858.

    MathSciNet  Google Scholar 

  • MESSAOUD, A., THEIS, W., WEIHS, C. and HERING, F. (2004a): Monitoring the BTA Deep Hole Drilling Process Using Residual Control Charts. Technical Report 60/2004 of SFB 475, University of Dortmund.

    Google Scholar 

  • MESSAOUD, A., WEIHS, C. and HERING, F. (2004b): A Nonparametric Multivariate Control Chart Based on Data Depth. Technical Report 61/2004 of SFB 475, University of Dortmund.

    Google Scholar 

  • MONTGOMERY, D. C. (1996): Introduction to Statistical Quality Control, 3rd ed. John Wiley and Sons, New York.

    Google Scholar 

  • ROUSSEEUW, P. and RUTS, I. (1996): AS 307: bivariate location depth. Applied Statistics, 45, 516–526.

    Google Scholar 

  • STOUMBOS, Z. G., JONES, L. A., WOODALL, W. H. and REYNOLDS Jr, M. R. (2001): On Shewhart-Type Nonparametric Multivariate Control Charts Based on Data Depth. In: H. J. Lenz and P. Th. Wilrich: Frontiers in Statistical Quality Control 6, Springer, Heidelberg, 207–227.

    Google Scholar 

  • THEIS, W. (2004): Modelling Varying Amplitudes. PhD dissertation, Department of Statistics, University of Dortmund. URL http://eldorado.uni-dormund.de:8080/FB5/ls7/forschung/2004/Theis

    Google Scholar 

  • WEINERT, K., WEBBER, O., HÜSKEN, M., MEHNEN, J. and THEIS, W. (2002): Analysis and prediction of dynamic disturbances of the BTA deep hole drilling process. Proceedings of the 3rd CIRP International Seminar on Intelligent Computation in Manufacturing Engineering.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Messaoud, A., Theis, W., Weihs, C., Hering, F. (2005). Application and Use of Multivariate Control Charts in a BTA Deep Hole Drilling Process. In: Weihs, C., Gaul, W. (eds) Classification — the Ubiquitous Challenge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28084-7_77

Download citation

Publish with us

Policies and ethics