Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques

Abstract This article deals with prediction of buckling damage of steel equal angle structural members using a surrogate model combining machine learning and metaheuristic optimization technique. In particular, a hybrid Artificial Intelligence (AI)-based model involving Artificial Neural Network (AN...

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Main Authors: Nang Xuan Ho, Tien-Thinh Le, The-Hung Dinh, Van-Hai Nguyen
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-87869-w
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author Nang Xuan Ho
Tien-Thinh Le
The-Hung Dinh
Van-Hai Nguyen
author_facet Nang Xuan Ho
Tien-Thinh Le
The-Hung Dinh
Van-Hai Nguyen
author_sort Nang Xuan Ho
collection DOAJ
description Abstract This article deals with prediction of buckling damage of steel equal angle structural members using a surrogate model combining machine learning and metaheuristic optimization technique. In particular, a hybrid Artificial Intelligence (AI)-based model involving Artificial Neural Network (ANN) and Particle Swarm Optimization (PSO) was developed and calibrated for the problem at hand. For this purpose, a database concerning compression tests of steel equal angle structural members was constructed from available resources with geometry variables such as length, width, thickness, mechanical properties of materials such as yield strength and initial imperfections (i.e. residual peak stress and initial geometric imperfections) and critical buckling load of columns. The hybrid PSOANN model was adopted because its prediction capability is higher than the traditional technique – i.e. scaled conjugate gradient (SCG). Indeed, ANN trained by PSO delivered better performance in terms of RMSE, MAE, ErrorStD, R2 and Slope in comparison to ANN trained by SCG, for instance. RMSE decreases from 0.141 to 0.055; MAE decreases from 0.108 to 0.042; R2 increases from 0.749 to 0.959, when switching from ANN alone to hybrid PSOANN, respectively. Moreover, a Partial Dependence (PD) investigation was performed to interpret the “black-box” PSOANN model.
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id doaj-art-10ae45d27be34e9283576e4a1b8f2a0b
institution Kabale University
issn 2045-2322
language English
publishDate 2025-02-01
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spelling doaj-art-10ae45d27be34e9283576e4a1b8f2a0b2025-02-09T12:36:08ZengNature PortfolioScientific Reports2045-23222025-02-0115111110.1038/s41598-025-87869-wPrediction of buckling damage of steel equal angle structural members using hybrid machine learning techniquesNang Xuan Ho0Tien-Thinh Le1The-Hung Dinh2Van-Hai Nguyen3Faculty of Vehicle and Energy Engineering, Phenikaa UniversityFaculty of Mechanical Engineering and Mechatronics, Phenikaa UniversityFaculty of Mechanical Engineering and Mechatronics, Phenikaa UniversityFaculty of Mechanical Engineering and Mechatronics, Phenikaa UniversityAbstract This article deals with prediction of buckling damage of steel equal angle structural members using a surrogate model combining machine learning and metaheuristic optimization technique. In particular, a hybrid Artificial Intelligence (AI)-based model involving Artificial Neural Network (ANN) and Particle Swarm Optimization (PSO) was developed and calibrated for the problem at hand. For this purpose, a database concerning compression tests of steel equal angle structural members was constructed from available resources with geometry variables such as length, width, thickness, mechanical properties of materials such as yield strength and initial imperfections (i.e. residual peak stress and initial geometric imperfections) and critical buckling load of columns. The hybrid PSOANN model was adopted because its prediction capability is higher than the traditional technique – i.e. scaled conjugate gradient (SCG). Indeed, ANN trained by PSO delivered better performance in terms of RMSE, MAE, ErrorStD, R2 and Slope in comparison to ANN trained by SCG, for instance. RMSE decreases from 0.141 to 0.055; MAE decreases from 0.108 to 0.042; R2 increases from 0.749 to 0.959, when switching from ANN alone to hybrid PSOANN, respectively. Moreover, a Partial Dependence (PD) investigation was performed to interpret the “black-box” PSOANN model.https://doi.org/10.1038/s41598-025-87869-wSteel equal angleBuckling damageSurrogate modelArtificial neural networkParticle swarm optimization.
spellingShingle Nang Xuan Ho
Tien-Thinh Le
The-Hung Dinh
Van-Hai Nguyen
Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
Scientific Reports
Steel equal angle
Buckling damage
Surrogate model
Artificial neural network
Particle swarm optimization.
title Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
title_full Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
title_fullStr Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
title_full_unstemmed Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
title_short Prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
title_sort prediction of buckling damage of steel equal angle structural members using hybrid machine learning techniques
topic Steel equal angle
Buckling damage
Surrogate model
Artificial neural network
Particle swarm optimization.
url https://doi.org/10.1038/s41598-025-87869-w
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AT thehungdinh predictionofbucklingdamageofsteelequalanglestructuralmembersusinghybridmachinelearningtechniques
AT vanhainguyen predictionofbucklingdamageofsteelequalanglestructuralmembersusinghybridmachinelearningtechniques