Sparse Data Enrichment by Context Oriented Model Reduction Techniques in Manufacturing Industry with an Example Laser Drilling Process
DOI:
https://doi.org/10.13052/jicts2245-800X.632Keywords:
sparse data, industry data, model reduction, machine learning, virtual production intelligenceAbstract
Nowadays, the internet of things and industry 4.0 from Germany are all focused on the application of data analytics and Artificial Intelligence to build the succeeding generation of manufacturing industry. In manufacturing planning and iterative designing process, the data-driven issues exist in the context of the purpose for approaching the optimal design and generating an explicit knowledge. The multi-physical phenomena, the time consuming comprehensive numerical simulation, and a limited number of experiments lead to the so-called sparse data problems or “curse of dimensionality”. In this work, an advanced technique using reduced models to enrich sparse data is proposed and discussed. The validated reduced models, which are created by several model reduction techniques, are able to generate dense data within an acceptable time. Afterwards, machine learning and data analytics techniques are applied to extract unknown but useful knowledge from the dense data in the Virtual Production Intelligence (VPI) platform. The demonstrated example is a typical case from laser drilling process.
Downloads
References
Brecher, C., et al. (2012). Integrative production technology for high-wage countries, Springer, Berlin, Heidelberg.
Hunter, J. K. (2004). Asymptotic analysis and singular perturbation theory. Department of Mathematics, University of California at Davis, 1–3.
King, J. R., and Riley, D. S. (2000). Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society, 456(1997), 1163–1174.
Vossen, G., Hermanns, T., and Schüttler, J. (2013). Analysis and optimal control for free melt flow boundaries in laser cutting with distributed radiation, Wiley Online library, ZAMMZ. Angew. Math. Mech., 1–20/DOI 10.1002/zamm.201200213.
Schulz, W., and Michel Freie, J. Randwertaufgaben der thermischen Materialbearbeitung: Inertiale Mannigfltigkeiten und Dimension des Phasenraums.
Schulz, W. (1998). Die Dynamik des thermischen Abtrags mit Grenzschichtcharakter. PhD Thesis, Aachen: Shaker-Verlag, 2003. Habilitationsschrift, RWTH Aachen.
Buckingham, E. (1914). On physically similar systems; illustrations of the use of dimensional equations. Physical review, 4(4), 345–376.
Schulz, W., Becker, D., Franke, J., Kemmerling, R., and Herziger, G. (1993). Heat conduction losses in laser cutting of metals. Journal of Physics D: Applied Physics, 26(9), 1357–1363.
Li, Huanrong, Zhendong Luo, and Jing Chen. (2011). “Numerical simulation based on POD for two-dimensional solute transport problems.” Applied Mathematical Modelling 35(5), 2489–2498.
Cordier, L., and Bergmann, M. (2003). Proper orthogonal decomposition: an overview. Post processing of Experimental and numerical Data, Lecture Series 2003/2004, von Karman Institut for Fluid Dynamics, pages 1–45.
Chatterjee, A. (2000). An introduction to the proper orthogonal decomposition. Current science, 78(7), 808–817.
Hermanns, T., (2018). Interactive process simulation for industrial environments with the example of drilling with laser radiation, PhD thesis.
Reinhard, R., Büscher, C., Meisen, T., Schilberg, D., and Jeschke, S. (2012). Virtual Production Intelligence – A Contribution to the Digital Factory. In: Hutchison D, Kanade T, Kittler J et al. (eds) Intelligent Robotics and Applications, vol. 7506. Springer Berlin Heidelberg, Berlin, Heidelberg, pp. 706–715.
Tercan, H., Al Khawli, T., Eppelt, U., Büscher, C., Meisen, T., and Jeschke, S. (2017). Improving the laser cutting process design by machine learning techniques. Production Engineering, 11(2), 195–203.