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

The Korean Society of Mechanical Engineers (대한기계학회)
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Robust Optimal Design Method Using Two-Point Diagonal Quadratic Approximation and Statistical Constraints

이점 대각 이차 근사화 기법과 통계적 제한조건을 적용한 강건 최적설계 기법

  • 권용삼 (한양대학교 대학원 기계설계학과) ;
  • 김민수 (한양대학교 최적설계신기술연구센터) ;
  • 김종립 (한양대학교 대학원 기계설계학과) ;
  • 최동훈 (한양대학교 기계공학부)
  • Published : 2002.12.01
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Abstract

This study presents an efficient method for robust optimal design. In order to avoid the excessive evaluations of the exact performance functions, two-point diagonal quadratic approximation method is employed for approximating them during optimization process. This approximation method is one of the two point approximation methods. Therefore, the second order sensitivity information of the approximated performance functions are calculated by an analytical method. As a result, this enables one to avoid the expensive evaluations of the exact $2^{nd}$ derivatives of the performance functions unlike the conventional robust optimal design methods based on the gradient information. Finally, in order to show the numerical performance of the proposed method, one mathematical problem and two mechanical design problems are solved and their results are compared with those of the conventional methods.

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References

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