Evaluation of Kolmogorov-Arnold Networks in predicting bearing capacity of hollow circular and hollow square CFST columns

IF 0.9 4区 工程技术 Q4 MECHANICS
Tran Minh Luan, Minh Thi Tran, Tien Cuong Pham, Samir Khatir, Thanh Cuong Le
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引用次数: 0

Abstract

In recent years, with the explosion of the industrial revolution 4.0, terms such as artificial intelligence (AI) have become familiar and increasingly widely applied in the engineering field. This study focuses on the study and evaluation of AI models to predict the axial strength of concrete-filled steel tube columns (CFST). In particular, this study introduces and highlights a new AI model, Kolmogorov-Arnold Networks (KAN), and compares its performance with the previously existing AI model, support vector regression (SVR), along with Eurocode 4. A large dataset consisting of two types of CFST columns (hollow circular and hollow square CFST columns) with different concrete strengths was created using ABAQUS software. The AI models were evaluated based on important statistical indices such as MAPE, MAE, RMSE, and correlation coefficient R. The analysis results showed that the KAN model was the most effective AI model when compared with other models. The R indices were always greater than 0.9 and the MAPE, MAE, RMSE indices were the lowest among the compared models. At the same time, the predicted data from the KAN model showed the highest similarity with the actual data in predicting the axial strength of four types of CFST columns. Therefore, the KAN model can be considered as a powerful and accurate tool in predicting the compressive strength of CFST columns.

Abstract Image

Abstract Image

Kolmogorov-Arnold网络在空心圆形和空心方钢管混凝土柱承载力预测中的评价
近年来,随着工业革命4.0的爆发,人工智能(AI)等术语已为人们所熟悉,并在工程领域得到越来越广泛的应用。本文主要对人工智能模型在钢管混凝土柱轴向强度预测中的应用进行了研究和评价。特别地,本研究介绍并强调了一种新的人工智能模型Kolmogorov-Arnold Networks (KAN),并将其性能与先前存在的人工智能模型支持向量回归(SVR)以及Eurocode 4进行了比较。利用ABAQUS软件建立了两种不同混凝土强度的CFST柱(空心圆形和空心方形CFST柱)的大型数据集。基于MAPE、MAE、RMSE和相关系数r等重要统计指标对人工智能模型进行评价,分析结果表明KAN模型是最有效的人工智能模型。各模型的R指数均大于0.9,MAPE、MAE、RMSE指数最低。同时,KAN模型预测的4种类型钢管混凝土柱的轴向强度与实际数据的相似度最高。因此,KAN模型可作为预测钢管混凝土柱抗压强度的有力而准确的工具。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mechanics of Solids
Mechanics of Solids 医学-力学
CiteScore
1.20
自引率
42.90%
发文量
112
审稿时长
6-12 weeks
期刊介绍: Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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