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A Multi-Fidelity Successive Response Surface Method for Crashworthiness Optimization Problems

Lualdi, Pietro and Sturm, Ralf and Siefkes, Tjark (2023) A Multi-Fidelity Successive Response Surface Method for Crashworthiness Optimization Problems. Applied Sciences. Multidisciplinary Digital Publishing Institute (MDPI). doi: 10.3390/app132011452. ISSN 2076-3417.

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Official URL: https://www.mdpi.com/2076-3417/13/20/11452

Abstract

Due to the high computational burden and the high non-linearity of the responses, crashworthiness optimizations are notoriously hard-to-solve challenges. Among various approaches, methods like the Successive Response Surface Method (SRSM) have stood out for their efficiency in enhancing baseline designs within a few iterations. However, these methods have limitations that restrict their application. Their minimum iterative resampling required is often computationally prohibitive. Furthermore, surrogate models are conventionally constructed using Polynomial Response Surface (PRS), a method that is poorly versatile, prone to overfitting, and incapable of quantifying uncertainty. Furthermore, the lack of continuity between successive response surfaces results in suboptimal predictions. This paper introduces the Multi-Fidelity Successive Response Surface (MF-SRS), a Gaussian process-based method, which leverages a non-linear multi-fidelity approach for more accurate and efficient predictions compared to SRSM. After initial testing on synthetic problems, this method is applied to a real-world crashworthiness task: optimizing a bumper cross member and crash box system. The results, benchmarked against SRSM and the Gaussian Process Successive Response Surface (GP-SRS), a single-fidelity Gaussian process-driven extension of SRSM, show that MF-SRS offers distinct advantages. Specifically, it improves upon the specific energy absorbed optimum value achieved by SRSM by 14%, revealing its potential for future applications.

Item URL in elib:https://elib.dlr.de/198527/
Document Type:Article
Title:A Multi-Fidelity Successive Response Surface Method for Crashworthiness Optimization Problems
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Lualdi, PietroUNSPECIFIEDhttps://orcid.org/0000-0001-9722-6185UNSPECIFIED
Sturm, RalfUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Siefkes, TjarkUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Date:19 October 2023
Journal or Publication Title:Applied Sciences
Refereed publication:Yes
Open Access:Yes
Gold Open Access:Yes
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI:10.3390/app132011452
Publisher:Multidisciplinary Digital Publishing Institute (MDPI)
ISSN:2076-3417
Status:Published
Keywords:crashworthiness optimization; MF-SRS; SRSM; multi-fidelity; design optimization; Gaussian process; NARGP; concept design
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Road Transport
DLR - Research area:Transport
DLR - Program:V ST Straßenverkehr
DLR - Research theme (Project):V - FFAE - Fahrzeugkonzepte, Fahrzeugstruktur, Antriebsstrang und Energiemanagement
Location: Stuttgart
Institutes and Institutions:Institute of Vehicle Concepts > Vehicle Architectures and Lightweight Design Concepts
Deposited By: Lualdi, Pietro
Deposited On:03 Nov 2023 12:57
Last Modified:23 Nov 2023 13:01

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