Modified Single Loop Single Vector Method for Stability and Efficiency Improvement in Reliability-Based Design Optimization

신뢰성기반 최적설계에서 수치적 안정성과 효율성의 개선을 위해 수정된 Single Loop Single Vector 방법

  • 김봉재 (서울대학교 조선해양공학과) ;
  • 이재옥 (현대중공업 선박해양연구소) ;
  • 양영순 (서울대학교 조선해양공학과)
  • Published : 2005.03.01

Abstract

SLSV (single loop single vector) method is to solve the excessive computational cost problem in RBDO (reliability-based design optimization) by decoupling the nested iteration loops. However, the practical use of SLSV method to RBDO case is limited by the instability or inaccuracy of the method since it often diverges or converges to a wrong solution. Thus, in this paper, a new modified SLSV method is proposed. This method improves its convergence capability effectively by utilizing Inactive Design and Active MPP Design together with modified HMV (hybrid mean value) method. The usefulness of the proposed method is also verified through numerical examples.

SLSV(single loop single vector)방법은 신뢰성기반 최적설계(reliability-based design optimization, RBDO)에서 중첩된 반복과정을 제거함으로써 최적설계의 과도한 계산비용 문제에 대한 해결책을 제시하고 있지만, 종종 수렴하지 못하거나 잘못된 해가 얻어지는 등의 불안정성, 부정확성 문제를 가지고 있어 그 활용이 제한적이다. 본 논문에서는 수정된 HMV(hybrid mean value)방법, Inactive Design, Active MPP(most probable point) Design의 적용을 통해 SLSV방법에 있어서 안정성과 효율성을 효과적으로 개선시킬 수 있는 수정된 SLSV방법을 제안하였고 또한 다양한 예제를 통해 수정된 SLSV방법의 유용성을 검증하였다.

Keywords

References

  1. 김기대, 양창현, 조효남, '철근콘크리트 뼈대구조의 신뢰성 최적설계에 관한 연구', 대한토목학회논문집, Vol.9, No.3, 1989, pp.57-64
  2. 양영순, 이재옥, '확률론적 구조설계 최적화 기법에 대한 비교연구', 한국전산구조공학회논문집, 14/2, 2001. 6, pp.213-224
  3. 정영채, 김종길, '신뢰성지수를 고려한 합성 뼈대구조물의 최적설계에 관한 연구', 한국강구조학회논문집, Vol. 15, No.4, 2003, pp.389-402
  4. 정현승, 하윤도, 조선호, '선형 구조물의 신뢰성기반 위상 최적설계', 대한조선학회 2003년 추계 학술 대회 논문집, pp.520-525
  5. Lee, T.W., Kwak. B.M., 'A Reliability- Based Optimal Design Using Advanced First Order Second Moment Method,' Mechanics of Structures and Machines, Vol. 15, No.4, 1987, pp. 523-542 https://doi.org/10.1080/08905458708905132
  6. Tu, J., Choi, K.K., 'A New Study on Reliabiity-Based Design Optimization,' Journal of Mechanical Design, ASME, Vol. 121, No.4, 1999, pp.557-564 https://doi.org/10.1115/1.2829499
  7. Lee, J.O., Yang, Y.S., Ruy, W.S., 'A comparative study on reliability-index and target-performance-based probabilistic structural design optimization,' Computers and Structures, Vol. 80, 2002, pp.257-269 https://doi.org/10.1016/S0045-7949(02)00006-8
  8. Youn, B.D., Choi, K.K., 'Selecting Probabilistic Approaches for Reliability-Based Design Optimization,' AIAA Journal, Vol. 42, No.1, 2004, pp.124-131 https://doi.org/10.2514/1.9036
  9. 최병렬, 이점 근사화 기법을 이용한 신뢰성기반 최적 설계 기법의 개발, 공학박사학위논문, 한양대학교 대학원 기계설계학과, 2004
  10. Chen, X., Hasselman, T.K., Neill, D.J., 'Reliability Based Structural Design Optimization for Practical Applications,' AIAA-97-1403. Proceedings of 38th AIAA SDM Conference, Kissimmee, Florida, 1997
  11. Wu, Y.T., Shin, Y., Sues, R., Cesare, M., 'Safety-Factor Based Approach for Probability-Based Design Optimization,' AIAA-2001-1522, Proceedings of 42nd AIAA SDM Conference, Seattle. Washington, 2001
  12. Du. X., Chen. W., 'Sequential Optimization and Reliability Assessment Method for Efficient Probabilstic Design,' DETC2002/ DAC-34127, ASME Design Engineering Technical Conferences, Montreal, Canada, 2002
  13. Yang, R.J., Gu, L., 'Experience with Approximate Reliability-Based Optimization Methods,' Structural Multidisciplinary Optimization, Vol. 26, 2004, pp.152-159 https://doi.org/10.1007/s00158-003-0319-2
  14. Youn, B.D., Choi, K.K., Park, Y.H., 'Hybrid Analysis Method for Reliability-Based Design Optimization.' Journal of Mechanical Design, ASME, Vol. 125, 2003, pp.221-232 https://doi.org/10.1115/1.1561042
  15. Hasofer, A.M., Lind, L.C., 'Exact and Invariant Second Moment Code Format,' Journal of the Engineering Mechanics Division Vol. 100, No.1, ASCE, 1974, pp.111-121
  16. Youn, B.D., Choi, K.K., 'Selecting Probabilistic Approaches for Reliability-Based Design Optimization,' AIAA Journal, Vol. 42, No.1, 2004, pp.124-131 https://doi.org/10.2514/1.9036