Browse > Article
http://dx.doi.org/10.3795/KSME-A.2009.33.12.1464

Reliability-Based Design Optimization Using Kriging Metamodel with Sequential Sampling Technique  

Choi, Kyu-Seon ((주) LG 전자 에어컨 사업본부)
Lee, Gab-Seong (한양대학교 대학원 기계공학과)
Choi, Dong-Hoon (한양대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.33, no.12, 2009 , pp. 1464-1470 More about this Journal
Abstract
RBDO approach based on a sampling method with the Kriging metamodel and Constraint Boundary Sampling (CBS), which is sequential sampling method to generate metamodels is proposed. The major advantage of the proposed RBDO approach is that it does not require Most Probable failure Point (MPP) which is essential for First-Order Reliability Method (FORM)-based RBDO approach. The Monte Carlo Sampling (MCS), most well-known method of the sampling methods for the reliability analysis is used to assess the reliability of constraints. In addition, a Cumulative Distribution Function (CDF) of the constraints is approximated using Moving Least Square (MLS) method from empirical distribution function. It is possible to acquire a probability of failure and its analytic sensitivities by using an approximate function of the CDF for the constraints. Moreover, a concept of inactive design is adapted to improve a numerical efficiency of the proposed approach. Computational accuracy and efficiency of the proposed RBDO approach are demonstrated by numerical and engineering problems.
Keywords
RBDO; Kriging Metamodel; Constraint Boundary Sampling; Inactive Design;
Citations & Related Records

Times Cited By SCOPUS : 1
연도 인용수 순위
  • Reference
1 Youn, B. D., Choi, K. K., 2004, "An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches," Journal of Mechanical Design, Vol. 126, Issue 3, pp. 403~411   DOI   ScienceOn
2 Arora, J. S., 2004, Introduction to Optimum Design, McGraw-Hill, New York
3 Xu, H. and Rahman, S., 2005, "Decomposition Methods for Structural Reliability Analysis," Prob. Eng. Mech., Vol. 20, Issue 3, pp. 239~250   DOI   ScienceOn
4 Melchers, R.E. and Ahammed, M., 2004, "A Fast Approximate Method for Parameter Sensitivity Estimation in Monte Carlo Structural Reliability," Computers and Structures, Vol. 82, No. 1, pp. 55~61   DOI   ScienceOn
5 Lee, T. H. and Jung, J. J., 2008, "A Sampling Technique Enhancing Accuracy and Efficiency of Metamodel-Based RBDO: Constraint Boundary Sampling," Computer and Structures, Vol. 86, No. 13-14, pp. 1463~1476   DOI   ScienceOn
6 Youn, B. D. and Choi, K. K., 2004, "A New Response Surface Methodology for Reliability-Based Design Optimization," Computers and Structures, Vol. 82, No. 2, pp. 241~256   DOI   ScienceOn
7 Choi, B. L., Choi, J. H. and Choi, D. H., 2004, "Reliability-Based Design Optimization Using Enhanced Initial Design and Two-Point Approximation Technique," proceedings of 10th AIAA/ISSMO MAO conference 2004-4518
8 Kuhn, H. W. and Tucker, A. W., 1951, "Nonlinear Programming", Proceedings of 2nd Berkeley Symposium, Berkeley, University of California Press, pp. 481~492
9 Karush, W., 1939, Minima of Functions of Several Variables with Inequalities as Side Constraint, M. Sc Thesis, Dept. of Mathematics, Univ. of Chicago, Chicago, Illinois