Beyond robust design: an example of synergy between statistics and advanced engineering design

  • Barone, Stefano (University degli Studi di Palermo-DTMPIG) ;
  • Erto, Pasquale (University degli Studi di Napoli Federico Ⅱ-Dipartmento di Progettazione Aeronautica) ;
  • Lanzotti, Antonio (University degli Studi di Napoli Federico Ⅱ-Dipartmento di Progettazione Aeronautica)
  • Published : 2002.12.01

Abstract

Higher efficiency and effectiveness of Research & Development phases can be attained using advanced statistical methodologies. In this work statistical methodologies are combined with a deterministic approach to engineering design. In order to show the potentiality of such integration, a simple but effective example is presented. It concerns the problem of optimising the performances of a paper helicopter. The design of this simple device is not new in quality engineering literature and has been mainly used for educational purposes. Taking full advantage of fundamental engineering knowledge, an aerodynamic model is originally formulated in order to describe the flight of the helicopter. Screening experiments were necessary to get first estimates of model parameters. Subsequently, deterministic evaluations based on this model were necessary to set up further experimental phases needed to search (or a better design. Thanks to this integration of statistical and deterministic phases, a significant performance improvement is obtained. Moreover, the engineering knowledge かms out to be developed since an explanation of the “why” of better performances, although approximate, is achieved. The final design solution is robust in a broader sense, being both validated by experimental evidence and closely examined by engineering knowledge.

Keywords

References

  1. Barone, S. (1999), "Statistical-technological integrated approach to robust design,"Ph.D. Thesis (in Italian)
  2. Box, G.E.P. (1976), 'Science and Statistics,'Journal of the American Statistical Assciation, vol. 71, n. 356, p. 791-799 https://doi.org/10.2307/2286841
  3. Box, G.E.P. (1992), 'Teaching Engineers Experimental Design with a Paper Helicopter,' Quality Engineering, vol. 4,n. 3, p. 453-459 https://doi.org/10.1080/08982119208918925
  4. Box, G.E.P. (1993), "Quality Improvement The New Industrial Revolution", International Statistical Review, p. 3-19
  5. Box, G.E.P. (1999), 'Statistics as a Catalyst to Learning by Scientific Method Part II A Discussion,' Journal of Quality Technology, vol. 31, n. 1
  6. Box, G.E.P., Draper, N.R. (1987),'Empirical Model Building and Response Surfaces,' John Wiley & Sons, New York
  7. Box, G.E.P., Hunter, H., Hunter, G. (1978), 'Statistics for Experimenters,' John Wiley & Sons, New York
  8. Box, G.E.P., Liu P. (1999), 'Statistics as a Catalyst to Learning by Scientific Method Part I An Example,' Journal of Quality Technology, vol. 31, n. 1
  9. Erto, P. (1999), 'Probabilita e Statistica per le Scienze e I'Ingegneria,' Mc Graw Hill, Milan
  10. Gessow, A., Myers, G.C.Jr. (1967),'Aerodynamics of the helicopter,' Ungar Pub. Co
  11. Kleijnen, J., Van Groenendaal, W. (1994), 'Simulation. A Statistical Perspective,' Wiley
  12. Koehler, J.R., Owen, A.B. (1996),'Computer Experiments,' in: Ghosh, S.,Rao, C.R. (eds.), Handbook of Statistics, vol. 13. Elsevier Science
  13. Lanzotti, A. (1995), 'Robust Design of a paper helicopter,' in: Proceedings of IX National Conference ADM, Caserta 27-29 September 1995 (in Italian)
  14. Logothetis, N., Wynn, H.P. (1989),'Quality through design,' Clarendon Press, Oxford
  15. Mander, J., Dippel, G., Gossage, H. (1967), 'The Great International Paper Airplane Book,' Simon and Schuster,New York
  16. Myers, R.H. (1999), 'Response surface methodology Current status and future directions,' Journal of Quality Technology, vol. 31, n. 1, P. 30-43 https://doi.org/10.1080/00224065.1999.11979891
  17. Nair, V.N. (ed.) (1992), 'Taguchi's Parameter Design: A Panel Discussion,' Technometrics, vol. 34, n. 2
  18. Park, S. H. (1996), 'Robust Design and Analysis for Quality Engineering,' Chapman & Hall, London
  19. Phadke, S.M. (1989),'Quality Engineering Using Robust Design,' Prentice-Hall International Edition
  20. Santy, W., Einwalter, B. (1998),'Comparison of classroom toys for teaching experimental design,' Quality Engineering. vol. 10, n. 1, p. 75-83 https://doi.org/10.1080/08982119708919111
  21. Steinberg, D.M. (1996), 'Robust Design: experiments for improving quality,' in: Ghosh, S., Rao, C.R. (eds.), Handbook of Statistics, vol. 13, Elsevier Science