Reliability-Based Design Optimization Considering Variable Uncertainty

설계변수의 변동 불확실성을 고려한 신뢰성 기반 최적설계

  • Lim, Woochul (Dept. of Automotive Engineering, College of Engineering, Hanyang Univ.) ;
  • Jang, Junyong (Dept. of Automotive Engineering, College of Engineering, Hanyang Univ.) ;
  • Kim, Jungho (Technical Center, GM Korea) ;
  • Na, Jongho (Technical Center, GM Korea) ;
  • Lee, Changkun (Technical Center, GM Korea) ;
  • Kim, Yongsuk (Technical Center, GM Korea) ;
  • Lee, Tae Hee (Dept. of Automotive Engineering, College of Engineering, Hanyang Univ.)
  • Received : 2014.02.21
  • Accepted : 2014.04.21
  • Published : 2014.06.01


Although many reliability analysis and reliability-based design optimization (RBDO) methods have been developed to estimate system reliability, many studies assume the uncertainty of the design variable to be constant. In practice, because uncertainty varies with the design variable's value, this assumption results in inaccurate conclusions about the reliability of the optimum design. Therefore, uncertainty should be considered variable in RBDO. In this paper, we propose an RBDO method considering variable uncertainty. Variable uncertainty can modify uncertainty for each design point, resulting in accurate reliability estimation. Finally, a notable optimum design is obtained using the proposed method with variable uncertainty. A mathematical example and an engine cradle design are illustrated to verify the proposed method.


Grant : 차량구조의 위상최적화

Supported by : 한국지엠


  1. Cornell, C. A., 1969, "A Probability-Based Structural Code," Journal of the American Concrete Institute, Vol. 66, No. 12, pp. 974-985.
  2. Breitung, K., 1984, "Asymptotic Approximations for Multinormal Integrals," ASCE J Eng Mech, Vol. 110, No. 3, pp. 357-366.
  3. Lee, S. H., Kwak, B. M., 2006. "Response Surface Augmented Moment Method for Efficient Reliability Analysis," Structural Safety, Vol. 28, No. 3, pp. 261-272.
  4. Rahman, S., Xu, H., 2004, "A Univariate Dimension- Reduction Method for Multi-Dimensional Integration in Stochastic Mechanics," Probabilistic Engineering Mechanics, Vol. 19, No. 4, pp. 393-408.
  5. Youn, B. D., Choi, K. K., Yang, R. J., Gu, L., 2004, "Reliability-Based Design Optimization for Crashworthiness of Vehicle Side Impact," Structural and Multidisciplinary Optimization, Vol. 26, No. 3-4, pp. 272-283.
  6. Aoues, Y., Chateauneuf, A., 2010, "Benchmark Study of Numerical Methods for Reliability-Based Design Optimization," Structural and Multidisciplinary Optimization, Vol. 41, No. 2, pp. 277-294.
  7. Fritsch, F. N., Carlson, R. E., 1980, "Monotonic Piecewise Cubic Interpolation," SIAM Journal on Numerical Analysis, Vol. 17, No. 2, pp. 238-246.
  8. Sakamoto, Y., Ishiguro, M., Kitagawa, G., 1986, Akaike Information Criterion Statistics, KTK Scientific Publishers.