Adaptive trust regions and response surfaces for reliability analysis. (29th November 2005)

• Record Type: Journal Article
• Authors: Zou, Tong; Mahadevan, Sankaran; Mourelatos, Zissimos P.
• Is Part Of: International journal of material & product technology. Volume 25:Number 1-3(2006)
• Page Start: 84
• Page End: 98
• Publication Date: 2005-11-29
• Subjects: reliability analysis -- trust region -- response surface methodology -- RSM -- Latin hypercube design -- adaptive importance sampling -- vehicle side impact -- design optimisation -- vehicle design -- uncertainty; Manufacturing processes -- Periodicals; Materials -- Testing -- Periodicals; 620.11
• Languages: English
• ISSNs: 0268-1900

Abstract

An efficient method for the reliability analysis of systems with non-linear limit states is presented in this paper. A trust-region-based adaptive response surface is used to search for the most probable point on the limit state. The adaptive response surface construction is aided by an optimal symmetric Latin hypercube sampling-based experimental design. First-order and second-order reliability estimates using the adaptive response surface are further improved with multi-modal adaptive importance sampling. Numerical examples including a vehicle side impact problem show that the proposed method has desirable efficiency and accuracy.