Reliability-based design optimization using kriging surrogates and subset simulation

04/19/2011
by   V. Dubourg, et al.
0

The aim of the present paper is to develop a strategy for solving reliability-based design optimization (RBDO) problems that remains applicable when the performance models are expensive to evaluate. Starting with the premise that simulation-based approaches are not affordable for such problems, and that the most-probable-failure-point-based approaches do not permit to quantify the error on the estimation of the failure probability, an approach based on both metamodels and advanced simulation techniques is explored. The kriging metamodeling technique is chosen in order to surrogate the performance functions because it allows one to genuinely quantify the surrogate error. The surrogate error onto the limit-state surfaces is propagated to the failure probabilities estimates in order to provide an empirical error measure. This error is then sequentially reduced by means of a population-based adaptive refinement technique until the kriging surrogates are accurate enough for reliability analysis. This original refinement strategy makes it possible to add several observations in the design of experiments at the same time. Reliability and reliability sensitivity analyses are performed by means of the subset simulation technique for the sake of numerical efficiency. The adaptive surrogate-based strategy for reliability estimation is finally involved into a classical gradient-based optimization algorithm in order to solve the RBDO problem. The kriging surrogates are built in a so-called augmented reliability space thus making them reusable from one nested RBDO iteration to the other. The strategy is compared to other approaches available in the literature on three academic examples in the field of structural mechanics.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/03/2011

Metamodel-based importance sampling for structural reliability analysis

Structural reliability methods aim at computing the probability of failu...
research
04/14/2023

CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability

In the field of reliability engineering, the Active learning reliability...
research
07/08/2020

A two-level Kriging-based approach with active learning for solving time-variant risk optimization problems

Several methods have been proposed in the literature to solve reliabilit...
research
05/31/2018

Basis Values Have Questionable Value

Controlling the chance of failure is the aim of design for reliability. ...
research
10/24/2019

A Novel Procedure for the Assessment of the Seismic Performance of Frame Structures by Means of Limit Analysis

Limit analysis is a computationally efficient tool to assess the resista...
research
11/06/2019

Simultaneous estimation of complementary moment independent sensitivity measures for reliability analysis

In reliability-based design, the estimation of the failure probability i...
research
02/14/2023

Adaptive design of experiment via normalizing flows for failure probability estimation

Failure probability estimation problem is an crucial task in engineering...

Please sign up or login with your details

Forgot password? Click here to reset