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Regression analysis, support vector machines, and Bayesian neural network approaches to modeling surface roughness in face milling

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Abstract

This study examines the influence of cutting speed, feed, and depth of cut on surface roughness in face milling process. Three different modeling methodologies, namely regression analysis (RA), support vector machines (SVM), and Bayesian neural network (BNN), have been applied to data experimentally determined by means of the design of experiment. The results obtained by the models have been compared. All three models have the relative prediction error below 8%. The best prediction of surface roughness shows BNN model with the average relative prediction error of 6.1%. The research has shown that, when the training dataset is small, both BNN and SVR modeling methodologies are comparable with RA methodology and, furthermore, they can even offer better results. Regarding the influence of the examined cutting parameters on the surface roughness, it has been shown that the feed has the largest affect on it and the depth of cut the least.

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References

  1. Colak O, Kurbanoglu C, Kayacan MC (2005) Milling surface roughness prediction using evolutionary programming methods. Mater Des 28:657–666

    Google Scholar 

  2. Bajić D, Belaić A (2006) Mathematical modeling of surface roughness in milling process. In: Proceedings of the 1st International Scientific Conference on Production Engineering (ISC), Lumbarda, Croatia, June/July 2006, pp 109–115

  3. Lou MS, Chen JC, Li CM (1998) Surface roughness prediction technique for CNC end-milling. J Inf Technol 15(1):2–6

    Google Scholar 

  4. Lu C (2008) Study on prediction of surface quality in machining process. J Mater Process Technol 205:439–450 doi:10.1016/j.jmatprotec.2007.11.270

    Article  Google Scholar 

  5. Oktem H, Erzurumlu T, Kurtaran H (2005) Application of response surface methodology in the optimization of cutting conditions for surface roughness. J Mater Process Technol 170:11–16 doi:10.1016/j.jmatprotec.2005.04.096

    Article  Google Scholar 

  6. Benardos PG, Vosniakos GC (2002) Prediction of surface roughness in CNC face milling using neural networks and Taguchi’s design of experiments. Robot Comput Integr Manuf 18:343–354 doi:10.1016/S0736-5845(02)00005-4

    Article  Google Scholar 

  7. El-Sonbaty IA, Khashaba UA, Selmy AI, Ali AI (2008) Prediction of surface roughness profiles for milled surfaces using an artificial neural network and fractal geometry approach. J Mater Process Technol 200:271–278 doi:10.1016/j.jmatprotec.2007.09.006

    Article  Google Scholar 

  8. Dong J, Subrahmanyam KVR, Wong YS, Hong GS, Mohanty AR (2006) Bayesian-inference-based neural networks for tool wear estimation. Int J Adv Manuf Technol 30:797–807 doi:10.1007/s00170-005-0124-8

    Article  Google Scholar 

  9. Choa S, Asfoura S, Onarb A, Kaundinya N (2005) Tool breakage detection using support vector machine learning in a milling process. Int J Mach Tools Manuf 45:241–249 doi:10.1016/j.ijmachtools.2004.08.016

    Article  Google Scholar 

  10. Hsueh, YW, Yang CY (2008) Tool breakage diagnosis in face milling by support vector machine. J. Mater. Process. Tech. doi:10.1016/j.jmatprotec.2008.01.033

  11. Box GEP, Draper NR (1987) Empirical model building and response surfaces. Wiley, New York

    MATH  Google Scholar 

  12. Campbell C (2002) Kernel methods: a survey of current techniques. Neurocomputing 48:63–84 doi:10.1016/S0925-2312(01)00643-9

    Article  MATH  Google Scholar 

  13. Vapnik VN (1995) The nature of statistical learning theory. Springer, New York

    MATH  Google Scholar 

  14. Vapnik VN (1998) Statistical learning theory. Wiley, New York

    MATH  Google Scholar 

  15. Nash S, Sofer A (1996) Linear and non-linear programming. McGraw-Hill, New York

    Google Scholar 

  16. Twomey JM, Smith AE (1998) Bias and variance of validation methods for function approximation neural networks under conditions of sparse data. IEEE Trans Syst Man Cybern 28(3):417–430

    Google Scholar 

  17. Rivals I, Personnaz L (1999) On cross-validation for model selection. Neural Comput 11(4):863–870 doi:10.1162/089976699300016476

    Article  Google Scholar 

  18. Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder–Mead simplex method in low dimensions. SIAM J Optim 9(1):112–147 doi:10.1137/S1052623496303470

    Article  MATH  MathSciNet  Google Scholar 

  19. Mackey DJC (1992) Bayesian methods for adaptive models. PhD Dissertation, California Institute of Technology

  20. Bishop C (1995) Neural networks for pattern recognition. Oxford Univ. Press, UK

    Google Scholar 

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Lela, B., Bajić, D. & Jozić, S. Regression analysis, support vector machines, and Bayesian neural network approaches to modeling surface roughness in face milling. Int J Adv Manuf Technol 42, 1082–1088 (2009). https://doi.org/10.1007/s00170-008-1678-z

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  • DOI: https://doi.org/10.1007/s00170-008-1678-z

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