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Research on surrogate model of dam numerical simulation with multiple outputs based on adaptive sampling.基于自适应采样的大坝多输出数值模拟代理模型研究
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AI Feynman: A physics-inspired method for symbolic regression.人工智能费曼:一种受物理学启发的符号回归方法。
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采用自适应采样和机器学习技术预测ECC-CES柱的轴向抗压能力。

Prediction of the axial compression capacity of ECC-CES columns using adaptive sampling and machine learning techniques.

作者信息

Megahed Khaled

机构信息

Department of Structural Engineering, Mansoura University, PO Box 35516, Mansoura, Egypt.

出版信息

Sci Rep. 2025 Feb 4;15(1):4181. doi: 10.1038/s41598-025-86274-7.

DOI:10.1038/s41598-025-86274-7
PMID:39905096
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11794466/
Abstract

An innovative form of concrete-encased steel (CES) composite columns incorporating engineered cementitious composites (ECC) confinement (ECC-CES) has recently been introduced, displaying superior performance in failure behavior, ductility, and toughness compared to traditional CES columns. This study presents an innovative approach to predicting the axial capacity of ECC-CES columns using adaptive sampling and machine learning (ML) techniques. This study initially introduces a finite element (FE) modeling for ECC-CES columns, integrating material and geometric nonlinearities to accurately capture the inelastic behavior of ECC and steel through appropriate constitutive material laws. The FE model was validated against experimental data and demonstrated strong predictive accuracy. An adaptive sampling process is employed for efficient exploration of the design space to generate a database of 840 FE models. Subsequently, seven ML models are utilized to predict the axial compression capacity based on the FE database. These models were comprehensively evaluated, displaying a superior prediction performance compared to design standards such as EC4 and AISC360. From evolution metrics, the Gaussian process regression, CatBoost (CATB), and LightGBM (LGBM) models emerged as the most accurate and reliable model, with nearly more than 97% of FE samples within the 10% error range. Despite the robust performance of the ML models, their black-box nature limits practical applicability in design contexts. To address this, the study proposes a symbolic regression-derived design that offers interpretable, explicit design equations with competitive performance metrics.

摘要

最近引入了一种创新形式的内置型钢混凝土(CES)组合柱,其采用了工程水泥基复合材料(ECC)约束(ECC-CES),与传统的CES柱相比,在破坏行为、延性和韧性方面表现出卓越的性能。本研究提出了一种创新方法,使用自适应采样和机器学习(ML)技术来预测ECC-CES柱的轴向承载力。本研究首先介绍了ECC-CES柱的有限元(FE)建模,通过适当的本构材料定律整合材料和几何非线性,以准确捕捉ECC和钢材的非弹性行为。该有限元模型通过实验数据进行了验证,并显示出很强的预测准确性。采用自适应采样过程对设计空间进行有效探索,以生成一个包含840个有限元模型的数据库。随后,利用七个机器学习模型基于有限元数据库预测轴向压缩承载力。对这些模型进行了全面评估,与诸如欧洲规范4(EC4)和美国钢结构协会规范360(AISC360)等设计标准相比,显示出卓越的预测性能。从进化指标来看,高斯过程回归、CatBoost(CATB)和LightGBM(LGBM)模型成为最准确可靠的模型,超过97%的有限元样本误差范围在10%以内。尽管机器学习模型性能强大,但其黑箱性质限制了在设计环境中的实际适用性。为了解决这个问题,该研究提出了一种基于符号回归的设计方法,提供具有竞争力性能指标的可解释、明确的设计方程。