Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes

A lattice-filled multicellular square tube features a regular cross-sectional shape, good energy consumption, and good crashworthiness, which is suitable for the design of energy absorbers in various protection fields such as automobiles, aerospace, bridges, etc. Based on the super folding theory, t...

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Main Authors: Xiwu Zhou, Jingdong Liu, Weifeng Rong, Benying Wu
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/17/6/1245
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author Xiwu Zhou
Jingdong Liu
Weifeng Rong
Benying Wu
author_facet Xiwu Zhou
Jingdong Liu
Weifeng Rong
Benying Wu
author_sort Xiwu Zhou
collection DOAJ
description A lattice-filled multicellular square tube features a regular cross-sectional shape, good energy consumption, and good crashworthiness, which is suitable for the design of energy absorbers in various protection fields such as automobiles, aerospace, bridges, etc. Based on the super folding theory, two reference planes are set to refine the energy consumption zone of the super folding element in this study. The energy consumption calculation of convex panel stretching is involved, and the critical crushing force formula is introduced in this study. Meanwhile, the calculation method from a single-cell square tube to a multicellular thin-walled square tube is extended and the structural optimization is investigated, in which the NSGAII algorithm is used to obtain the Pareto front (<i>PF</i>) of the crashworthiness performance index of the square multicellular tubes, the Normal Boundary Intersection (NBI) method is adopted to select knee points, and the influence of different cross-sectional widths on the number, as well as the thickness, of cells are discussed. This study’s results indicate that the theoretical value is consistent with that obtained from the numerical simulation, meaning that the improved theoretical model can be applied to predict the crashworthiness of multicellular square cross-sectional tubes. Also, the optimization method and study results proposed in this study can provide a reference for the design of square lattice multicellular tubes.
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spelling doaj.art-ba5da9c19a4f4b6ab8c6f5ba4836dc412024-03-27T13:52:19ZengMDPI AGMaterials1996-19442024-03-01176124510.3390/ma17061245Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square TubesXiwu Zhou0Jingdong Liu1Weifeng Rong2Benying Wu3School of Transportation, Civil Engineering and Architecture, Foshan University, Foshan 528000, ChinaSchool of Transportation, Civil Engineering and Architecture, Foshan University, Foshan 528000, ChinaSchool of Transportation, Civil Engineering and Architecture, Foshan University, Foshan 528000, ChinaSchool of Transportation, Civil Engineering and Architecture, Foshan University, Foshan 528000, ChinaA lattice-filled multicellular square tube features a regular cross-sectional shape, good energy consumption, and good crashworthiness, which is suitable for the design of energy absorbers in various protection fields such as automobiles, aerospace, bridges, etc. Based on the super folding theory, two reference planes are set to refine the energy consumption zone of the super folding element in this study. The energy consumption calculation of convex panel stretching is involved, and the critical crushing force formula is introduced in this study. Meanwhile, the calculation method from a single-cell square tube to a multicellular thin-walled square tube is extended and the structural optimization is investigated, in which the NSGAII algorithm is used to obtain the Pareto front (<i>PF</i>) of the crashworthiness performance index of the square multicellular tubes, the Normal Boundary Intersection (NBI) method is adopted to select knee points, and the influence of different cross-sectional widths on the number, as well as the thickness, of cells are discussed. This study’s results indicate that the theoretical value is consistent with that obtained from the numerical simulation, meaning that the improved theoretical model can be applied to predict the crashworthiness of multicellular square cross-sectional tubes. Also, the optimization method and study results proposed in this study can provide a reference for the design of square lattice multicellular tubes.https://www.mdpi.com/1996-1944/17/6/1245square lattice multicellular tubescrashworthinesstheoretical modelmulti-objective optimization
spellingShingle Xiwu Zhou
Jingdong Liu
Weifeng Rong
Benying Wu
Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes
Materials
square lattice multicellular tubes
crashworthiness
theoretical model
multi-objective optimization
title Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes
title_full Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes
title_fullStr Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes
title_full_unstemmed Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes
title_short Axial Crushing Theory and Optimization of Lattice-Filled Multicellular Square Tubes
title_sort axial crushing theory and optimization of lattice filled multicellular square tubes
topic square lattice multicellular tubes
crashworthiness
theoretical model
multi-objective optimization
url https://www.mdpi.com/1996-1944/17/6/1245
work_keys_str_mv AT xiwuzhou axialcrushingtheoryandoptimizationoflatticefilledmulticellularsquaretubes
AT jingdongliu axialcrushingtheoryandoptimizationoflatticefilledmulticellularsquaretubes
AT weifengrong axialcrushingtheoryandoptimizationoflatticefilledmulticellularsquaretubes
AT benyingwu axialcrushingtheoryandoptimizationoflatticefilledmulticellularsquaretubes