Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels

The current research aimed to investigate the critical buckling load of a simply supported aerospace-grade stiffened panel made of additively manufactured cubic lattice unit cell arrays, namely simple cubic, face-centered cubic (FCC) and body-centered cubic (BCC) structures. Ansys Design Modeler was...

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Main Authors: Saiaf Bin Rayhan, Md Mazedur Rahman, Jakiya Sultana, Szabolcs Szávai, Gyula Varga
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Metals
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Online Access:https://www.mdpi.com/2075-4701/15/1/81
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author Saiaf Bin Rayhan
Md Mazedur Rahman
Jakiya Sultana
Szabolcs Szávai
Gyula Varga
author_facet Saiaf Bin Rayhan
Md Mazedur Rahman
Jakiya Sultana
Szabolcs Szávai
Gyula Varga
author_sort Saiaf Bin Rayhan
collection DOAJ
description The current research aimed to investigate the critical buckling load of a simply supported aerospace-grade stiffened panel made of additively manufactured cubic lattice unit cell arrays, namely simple cubic, face-centered cubic (FCC) and body-centered cubic (BCC) structures. Ansys Design Modeler was chosen to design and analyze the critical buckling load of the panel, while a popular material, Ti-6Al-4V, was used as the build material. Numerical validation on both the stiffened panel and a lattice beam structure was established from multiple resources from the literature. Finally, the panels were tested against increments of a strut diameter ranging from 0.5 mm to 2 mm, which corresponds to a relative density of 6% to 78%. It was found that considering the relative density and fixed relative density, the simple cubic lattice cell outperformed the buckling results of the FCC and BCC panels. Moreover, the relationship of the parameters was found to be non-linear. Finally, the data samples collected from numerical outcomes were utilized to train four different machine learning models, namely multi-variable linear regression, polynomial regression, the random forest regressor and the K-nearest neighbor regressor. The evaluation metrics suggest that polynomial regression provides the highest accuracy among all the tested models, with the lowest mean squared error (MSE) value of 0.0001 and a perfect <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi mathvariant="normal">R</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula> score. The current research opens up the discussion of using cubic lattice cells as potential structures for future stiffened panels.
format Article
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institution Kabale University
issn 2075-4701
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publishDate 2025-01-01
publisher MDPI AG
record_format Article
series Metals
spelling doaj-art-7e55fa0049164f428657e30d885df85e2025-01-24T13:41:37ZengMDPI AGMetals2075-47012025-01-011518110.3390/met15010081Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened PanelsSaiaf Bin Rayhan0Md Mazedur Rahman1Jakiya Sultana2Szabolcs Szávai3Gyula Varga4Department of Aeronautical Engineering, Bangabandhu Sheikh Mujibur Rahman Aviation and Aerospace University, Lalmonirhat 5500, BangladeshFaculty of Mechanical Engineering and Informatics, University of Miskolc, H-3515 Miskolc, HungaryFaculty of Mechanical Engineering and Informatics, University of Miskolc, H-3515 Miskolc, HungaryFaculty of Mechanical Engineering and Informatics, University of Miskolc, H-3515 Miskolc, HungaryFaculty of Mechanical Engineering and Informatics, University of Miskolc, H-3515 Miskolc, HungaryThe current research aimed to investigate the critical buckling load of a simply supported aerospace-grade stiffened panel made of additively manufactured cubic lattice unit cell arrays, namely simple cubic, face-centered cubic (FCC) and body-centered cubic (BCC) structures. Ansys Design Modeler was chosen to design and analyze the critical buckling load of the panel, while a popular material, Ti-6Al-4V, was used as the build material. Numerical validation on both the stiffened panel and a lattice beam structure was established from multiple resources from the literature. Finally, the panels were tested against increments of a strut diameter ranging from 0.5 mm to 2 mm, which corresponds to a relative density of 6% to 78%. It was found that considering the relative density and fixed relative density, the simple cubic lattice cell outperformed the buckling results of the FCC and BCC panels. Moreover, the relationship of the parameters was found to be non-linear. Finally, the data samples collected from numerical outcomes were utilized to train four different machine learning models, namely multi-variable linear regression, polynomial regression, the random forest regressor and the K-nearest neighbor regressor. The evaluation metrics suggest that polynomial regression provides the highest accuracy among all the tested models, with the lowest mean squared error (MSE) value of 0.0001 and a perfect <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi mathvariant="normal">R</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula> score. The current research opens up the discussion of using cubic lattice cells as potential structures for future stiffened panels.https://www.mdpi.com/2075-4701/15/1/81ML algorithmsFEAlattice unit cellcritical buckling loadadditive manufacturing
spellingShingle Saiaf Bin Rayhan
Md Mazedur Rahman
Jakiya Sultana
Szabolcs Szávai
Gyula Varga
Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels
Metals
ML algorithms
FEA
lattice unit cell
critical buckling load
additive manufacturing
title Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels
title_full Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels
title_fullStr Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels
title_full_unstemmed Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels
title_short Finite Element and Machine Learning-Based Prediction of Buckling Strength in Additively Manufactured Lattice Stiffened Panels
title_sort finite element and machine learning based prediction of buckling strength in additively manufactured lattice stiffened panels
topic ML algorithms
FEA
lattice unit cell
critical buckling load
additive manufacturing
url https://www.mdpi.com/2075-4701/15/1/81
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