Adaptive stability transformation method of chaos control for first order reliability method. (October 2018)

• Record Type: Journal Article
• Authors: Meng, Zeng; Pu, Yuxue; Zhou, Huanli
• Is Part Of: Engineering with computers. Volume 34:Number 4(2018)
• Page Start: 671
• Page End: 683
• Publication Date: 2018-10
• Subjects: First-order reliability method -- Stability transformation method -- Most probable failure point -- Most probable target point; Engineering design -- Data processing -- Periodicals; Computer-aided design -- Periodicals; Conception technique -- Informatique -- Périodiques; Conception assistée par ordinateur -- Périodiques; Electronic journals; 620.00285
• DOI: 10.1007/s00366-017-0566-2
• Languages: English
• ISSNs: 0177-0667

Abstract

Abstract The efficiency and robustness are two key performance indexes for first-order reliability method (FORM). In this study, two different algorithms, including the adaptive stability transformation method (ASTM) and enhanced adaptive stability transformation method (EASTM), are proposed to improve the efficiency and robustness of FORM. In both ASTM and EASTM, the computation of most probable failure point (MPFP) is converted to find a series of most probable target points (MPTPs), in which the chaos control factor is properly selected by proposing two different algorithms. Four benchmark examples with normal and non-normal random variables and one practical engineering application example are tested to verify the effectiveness of the proposed algorithms. The results illustrate that the proposed algorithms not only are more efficient than other advanced FORM algorithms, but also are very robust.