Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

A Design Methodology with Orthogonal Arrays Using Experiments and Computer Simulations

실험과 컴퓨터 모사 결과를 동시에 이용하여 직교배열표로 설계하는 방법

  • 박경진 (한양대학교 기계정보경영공학부)
  • Published : 2004.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

Generally, automatic design is carried out with computer simulation and the simulation models are established by investigating the correlations between the simulation and real experiments. Therefore, the experiment results are utilized as complimentary data although they are considered to be precise. Orthogonal arrays have been adopted for discrete design. A method is proposed to directly exploit the experiment results in the design process with orthogonal arrays. Experiments are allocated to some rows of an orthogonal array and computer simulations are allocated to the others. A rule for the allocation is found to keep the orthogonality. Error analysis of the design results is performed. Mathematical examples are made to verify the validity of the proposed method. Error models are defined with the examples and the design solutions from the examples are discussed.

Keywords

References

  1. Haug, E.J. and Arora, J.S., 1979, Applied Optimal Design, John Wiley & Sons, Inc., New York, NY, USA
  2. Arora, J.S., 1989, Introduction to Optimum Design, McGraw-Hill Book Company, New York, NY, USA
  3. Haftka, R.T. and Gurdal, Z., 1992, Elements of Structural Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands
  4. Vanderplaats, G.N., 1984, Numerical Optimization Techniques for Engineering Design, McGraw-Hill Book Company, New York, NY, USA
  5. Gill, P.E., Murray, W. and Wright, M.H., 1981, Practical Optimization, Academic Press, New York, NY, USA
  6. Park, G.J., 2005, Analytic Methods in Design Practice, Springer-Verlag, Germany. (in preparation)
  7. Park, S.H., Modern Design of Experiments, Minyoungsa, Seoul, Korea, 1991. (in Korean)
  8. Taguchi, G., 1987, Systems of Experimental Design (Vol. I, II), Kraus International Publications, New York, NY, USA
  9. Phadke, M.S., 1989, Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs, NJ, USA
  10. Yi, J.W., Ha, D.Y., Lee, S.W., Lim, J.M. and Park, G.J., 2003, 'Development of Design System for EPS Cushioning Package of Monitor Using Axiomatic Design,' Trans. of KSME (A), Vol. 27, No. 10, pp. 1644-1652. (in Korean) https://doi.org/10.3795/KSME-A.2003.27.10.1644
  11. Hedayat, A.S., Sloane, N.J.A. and Stutken, J., 1999, Orthogonal Arrays, Springer, New York, NY, USA
  12. Lim, J.M. and Park, G.J., 1999, 'Design Recommendation of the Occupant Protection Systems Using Orthogonal Arrays,' J. of KSAE, Vol. 7, No.8, pp. 208-215. (in Korean)
  13. Hong, D.K., Choi, S.C. and Ahn, C.W., 2003, 'The Size Optimization Design of Crane Using the Table of Orthogonal Array and Finite Element Analysis,' Spring annual conference of KSPE, pp. 1471-1474. (in Korean)
  14. Kim, Y.I., Yi, J.W., Yoon, J.Y. and Park, G.J., 2003, 'A Design Methodology and Software Development with Sensitivity Information,' Trans. of KSME (A), Vol. 27, No. 12, pp. 2092-2100. (in Korean) https://doi.org/10.3795/KSME-A.2003.27.12.2092
  15. Myers, R.H. and Montgomery, D.C., 1995, Response Surface Methodology, John Wiley & Sons, New York, NY, USA
  16. Hwang, K.H., Kwon, W.S., Lee K.H. and Park, G.J., 2000, 'Design of Structure Using Orthogonal Arrays Considering Interactions in Discrete Design Spaces,' Trans. of KSME (A), Vol. 24, No. 12, pp. 2952-2962. (in Korean)
  17. Hwang, K.H., Lee, K.W. and Park, G.J., 2001, 'Robust Optimization of an Automobile Rearview Mirror for Vibration Reduction,' Structural and Multidisciplinary Optimization, Vol. 21, No.4, pp. 300-308 https://doi.org/10.1007/s001580100107
  18. Lee, K.H., Eom, I.S., Park, G.J. and Lee, W.I., 1996, 'Robust Design for Unconstrained Optimization Problems Using Taguchi Method,' AIAA Journal, Vol. 34,No.5,pp.1059-1063 https://doi.org/10.2514/3.13187
  19. Lee, K.H. and Park, G.J., 2002, 'Robust Optimization in Discrete Design Space for Constrained Problems,' AIAA Journal, Vol. 40, No.4, pp. 774-780 https://doi.org/10.2514/2.1712
  20. Lee, K.H. and Park, G.J., 2001, 'Robust Optimization Considering Tolerances of Design Variables,' Computers and Structures, Vol. 29, pp. 77-86 https://doi.org/10.1016/S0045-7949(00)00117-6
  21. Fowlkes, W.Y. and Creveling, C.M., 1995, Engineering Methods for Robust Product Design, Addison Wesley, Reading, MA, USA
  22. Lim, J.M., Wuh, D.H. and Park, G.J., 2000, 'Analysis and Design Consideration of an Energy Absorbing Steering System using Orthogonal Arrays,' International Journal of Crashworthiness, Vol. 5, No. 3, pp. 271-278 https://doi.org/10.1533/cras.2000.0141
  23. Song, S.I., Bae, K.J., Lee, K.H. and Park, G.J., 2002, 'Lightweight Design for Automotive Door Using Optimizations and Design of Experiments,' J of KSAE, Vol. 10, No.1, pp. 125-132. (in Korean)
  24. Ku, K.J., Rao, S.S. and Chen, L., 1998, 'Taguchi-Aided Search Method for Design Optimization of Engineering Systems,' Engineering Optimization, Vol. 30, pp. 1-23 https://doi.org/10.1080/03052159808941235
  25. Yi, J.W., Park, J.S., Lee, K.H. and Park, G.J., 2003, 'An Optimization Algorithm Using Orthogonal Arrays in Discrete Design Space for Structures,' Finite Element Method and Design, Vol. 40, No.1, pp. 121-135 https://doi.org/10.1016/S0168-874X(03)00095-7
  26. Walpole, R.E., 1982, Introduction to Statistics, Macmillan, New York, NY, USA

Cited by

  1. A study on the optimum design for the valve plate of a swash plate-type oil hydraulic piston pump vol.29, pp.6, 2015, https://doi.org/10.1007/s12206-015-0533-z