Development of a Robust Design Process Using a Robustness Index

강건성 지수를 이용한 강건설계 기법의 개발

  • 황광현 (현대자동차 선행해석팀) ;
  • 박경진 (한양대학교 기계, 정보경영공학부)
  • Published : 2003.08.01


Design goal is to find the one that has the highest probability of success and the smallest variation. A robustness index has been proposed to satisfy these conditions. The two-step optimization process of the target problem requires a scaling factor. The search process of a scaling factor is replaced with the making of the decoupled design between the mean and the standard deviation. The decoupled design matrix is formed from the sensitivity or the sum of squares. After establishing the design matrix, the robust design process has a new three-step one. The first is ″reduce variability,″ the second is ″make the candidate designs that satisfy constraints and move the mean on the target,″ and the final is ″select the best robust design using the proposed robustness index.″ The robust design process is verified by three examples and the results using the robustness index are compared with those of other indices.


Axiomatic Design;Decoupled Design;Robust Design;Robustness Index


  1. Haug, E. J. and Arora, J. S., 1979, Applied Optimal Design: Mechanical and Structural Systems, Wiley, New York
  2. Phadke, M. S., 1989, Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs, New Jersey
  3. Hwang, K. H., Kwon, W. S., Lee, K. H. and Park, G. J., 2000, 'Design of Structure Using Orthogonal Array Considering Interactions in Discrete Design Spaces,' Transactions of KSME A, Vol. 24, No. 12, pp. 2952-2962
  4. Vanderplaatts, G. V., 2000, Genesis Users Manual Ver. 6.0, VMA Engineering
  5. Lee, K. H., Eom, I. S., Park, G. J. and Lee, I. W., 1994, 'A Study on the Robust Design for Unconstrained Optimization Problems,' Transactions of KSME A, Vol. 18, No. 11, pp. 2825-2836
  6. Park, S. H., 1995, Modern Design of Experiments, Min-Young Sa, Seoul
  7. 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
  8. Suh, N. P., 2001, Axiomatic Design: Advances and Applications, Oxford University Press, New York
  9. Hwang, K. H. and Park, G. J., 2002, 'A New Information Index of Axiomatic Design for Robustness,' Transactions of KSME A, Vol. 26, No. 10, pp. 2073-2081
  10. Park, K. S., 2001, 'Robust Design of a Vibratory Gyroscope Using Information Index,' Master thesis, Hanyang University, Seoul
  11. Taguchi, G. B., Chowdhury, S. and Taguchi, S., 2000, Robust Engineering, McGraw-Hill, New York
  12. Suh, N. P., 1990, The Principles of Design, Oxford University Press, New York
  13. Box, G. E. P. and Fung, C., 1993, 'Is Your Robust Design Procedure Robust?,' Quality Engineering, Vol. 6, No. 3, pp. 503-514
  14. Pahl, G., Beitz, W. and Wallace, K., 1988, Engineering Design: A Systematic Approach, Springer-Verlag, New York
  15. Ullman, D. G., 1997, The Mechanical Design Process, 2nd ed, McGraw-Hill, Boston