TY - JOUR

T1 - Sample regeneration algorithm for structural failure probability function estimation

AU - Yuan, Xiukai

AU - Wang, Shanglong

AU - Valdebenito, Marcos A.

AU - Faes, Matthias G.R.

AU - Beer, Michael

N1 - Funding Information: The authors would like to acknowledge financial support from the Aeronautical Science Foundation of China (Grant No. ASFC-20170968002 ).

PY - 2023/1

Y1 - 2023/1

N2 - An efficient strategy to approximate the failure probability function in structural reliability problems is proposed. The failure probability function (FPF) is defined as the failure probability of the structure expressed as a function of the design parameters, which in this study are considered to be distribution parameters of random variables representing uncertain model quantities. The task of determining the FPF is commonly numerically demanding since repeated reliability analyses are required. The proposed strategy is based on the concept of augmented reliability analysis, which only requires a single run of a simulation-based reliability method. This paper introduces a new sample regeneration algorithm that allows to generate the required failure samples of design parameters without any additional evaluation of the structural response. In this way, efficiency is further improved while ensuring high accuracy in the estimation of the FPF. To illustrate the efficiency and effectiveness of the method, case studies involving a turbine disk and an aircraft inner flap are included in this study.

AB - An efficient strategy to approximate the failure probability function in structural reliability problems is proposed. The failure probability function (FPF) is defined as the failure probability of the structure expressed as a function of the design parameters, which in this study are considered to be distribution parameters of random variables representing uncertain model quantities. The task of determining the FPF is commonly numerically demanding since repeated reliability analyses are required. The proposed strategy is based on the concept of augmented reliability analysis, which only requires a single run of a simulation-based reliability method. This paper introduces a new sample regeneration algorithm that allows to generate the required failure samples of design parameters without any additional evaluation of the structural response. In this way, efficiency is further improved while ensuring high accuracy in the estimation of the FPF. To illustrate the efficiency and effectiveness of the method, case studies involving a turbine disk and an aircraft inner flap are included in this study.

KW - Bayesian theory

KW - Failure probability function

KW - Maximum Entropy method

KW - Regeneration algorithm

KW - Reliability

UR - http://www.scopus.com/inward/record.url?scp=85143307850&partnerID=8YFLogxK

U2 - 10.1016/j.probengmech.2022.103387

DO - 10.1016/j.probengmech.2022.103387

M3 - Article

AN - SCOPUS:85143307850

VL - 71

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

SN - 0266-8920

M1 - 103387

ER -