Adaptive improved response surface method for reliability-based design optimization. Issue 12 (2nd December 2019)

• Record Type: Journal Article
• Authors: Eshghi, Amin Toghi; Lee, Soobum
• Is Part Of: Engineering optimization. Volume 51:Issue 12(2019)
• Page Start: 2011
• Page End: 2029
• Publication Date: 2019-12-02
• Subjects: Response surface method -- reliability-based design optimization -- reliability analysis -- dimension reduction; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2018.1561885
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: Reliability-based design optimization (RBDO) requires the evaluation of probabilistic constraints (or reliability), which can be very time consuming. Therefore, a practical solution for efficient reliability analysis is needed. The response surface method (RSM) and dimension reduction (DR) are two well-known approximation methods that construct the probabilistic limit state functions for reliability analysis. This article proposes a new RSM-based approximation approach, named the adaptive improved response surface method (AIRSM), which uses the moving least-squares method in conjunction with a new weight function. AIRSM is tested with two simplified designs of experiments: saturated design and central composite design. Its performance on reliability analysis is compared with DR in terms of efficiency and accuracy in multiple RBDO test problems.