Multi-Fidelity Modeling-Based Structural Reliability Analysis with the Boundary Element Method

Title: Multi-Fidelity Modeling-Based Structural Reliability Analysis with the Boundary Element Method
Authors: Morse, L
Sharif Khodaei, Z
Aliabadi, MH
Item Type: Journal Article
Abstract: In this work, a method for the application of multi-fidelity modelling to the reliability analysis of 2D elastostatic structures using the Boundary Element Method (BEM) is proposed. Reliability analyses were carried out on a rectangular plate with a centre circular hole subjected to uniaxial tension using Monte Carlo Simulations (MCS), the First Order Reliability Method (FORM), and the Second Order Reliability Method (SORM). Two BEM models were investigated, a low-fidelity model (LFM) of 20 elements and a high-fidelity model (HFM) of 100 elements. The response of these models at several design points was used to create multi-fidelity models (MFMs) utilising 2nd order polynomial response surfaces and their reliability, alongside that of the LFM and the HFM, was evaluated. Results show that the MFMs that directly called the LFM were significantly superior in terms of accuracy to the LFM, achieving very similar levels of accuracy to the HFM, while also being of similar computational cost to the LFM. These direct MFMs were found to provide good substitutes for the HFM for MCS, FORM, and SORM.
Issue Date: 31-Aug-2017
Date of Acceptance: 7-Aug-2017
ISSN: 1756-9737
Publisher: World Scientific Publishing Co. Pte Ltd
Journal / Book Title: Journal of Multiscale Modeling
Volume: 8
Issue: 3
Copyright Statement: © The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: AESZ_P37406
Keywords: Boundary Element Method (BEM)
Reliability analysis
First Order Reliability Method (FORM)
Second Order Reliability Method (SORM)
Monte Carlo Simulation (MCS)
Multi-fidelity modelling
Surrogate modelling
Response Surface Methodology (RSM)
090506 Structural Engineering
0103 Numerical and Computational Mathematics
Publication Status: Published
Article Number: 1740001
Appears in Collections:Faculty of Engineering

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