Khan Majid, Khan Adil, Khan Asad Ullah, Shakeel Muhammad, Khan Khalid, Alabduljabbar Hisham, Najeh Taoufik, Gamil Yaser
COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan.
Department of Civil and Structural Engineering, University of Bradford, Bradford, West Yorkshire, BD7 1DP, UK.
Heliyon. 2023 Dec 7;10(1):e23375. doi: 10.1016/j.heliyon.2023.e23375. eCollection 2024 Jan 15.
Fiber-reinforced polymers (FRP) are widely utilized to improve the efficiency and durability of concrete structures, either through external bonding or internal reinforcement. However, the response of FRP-strengthened reinforced concrete (RC) members, both in field applications and experimental settings, often deviates from the estimation based on existing code provisions. This discrepancy can be attributed to the limitations of code provisions in fully capturing the nature of FRP-strengthened RC members. Accordingly, machine learning methods, including gene expression programming (GEP) and multi-expression programming (MEP), were utilized in this study to predict the flexural capacity of the FRP-strengthened RC beam. To develop data-driven estimation models, an extensive collection of experimental data on FRP-strengthened RC beams was compiled from the experimental studies. For the assessment of the accuracy of developed models, various statistical indicators were utilized. The machine learning (ML) based models were compared with empirical and conventional linear regression models to substantiate their superiority, providing evidence of enhanced performance. The GEP model demonstrated outstanding predictive performance with a correlation coefficient (R) of 0.98 for both the training and validation phases, accompanied by minimal mean absolute errors (MAE) of 4.08 and 5.39, respectively. In contrast, the MEP model achieved a slightly lower accuracy, with an R of 0.96 in both the training and validation phases. Moreover, the ML-based models exhibited notably superior performances compared to the empirical models. Hence, the ML-based models presented in this study demonstrated promising prospects for practical implementation in engineering applications. Moreover, the SHapley Additive exPlanation (SHAP) method was used to interpret the feature's importance and influence on the flexural capacity. It was observed that beam width, section effective depth, and the tensile longitudinal bars reinforcement ratio significantly contribute to the prediction of the flexural capacity of the FRP-strengthened reinforced concrete beam.
纤维增强聚合物(FRP)被广泛用于提高混凝土结构的效率和耐久性,可通过外部粘结或内部增强实现。然而,在现场应用和试验环境中,FRP加固的钢筋混凝土(RC)构件的响应往往偏离基于现有规范规定的估计。这种差异可归因于规范规定在充分捕捉FRP加固RC构件性质方面的局限性。因此,本研究采用了包括基因表达式编程(GEP)和多表达式编程(MEP)在内的机器学习方法来预测FRP加固RC梁的抗弯能力。为了开发数据驱动的估计模型,从试验研究中收集了大量关于FRP加固RC梁的试验数据。为了评估所开发模型的准确性,使用了各种统计指标。将基于机器学习(ML)的模型与经验模型和传统线性回归模型进行比较,以证实其优越性,证明其性能得到了提升。GEP模型在训练和验证阶段均表现出出色的预测性能,相关系数(R)为0.98,平均绝对误差(MAE)分别为4.08和5.39,极小。相比之下,MEP模型的准确性略低,在训练和验证阶段的R均为0.96。此外,与经验模型相比,基于ML的模型表现出明显更优的性能。因此,本研究中提出的基于ML的模型在工程应用中的实际实施显示出广阔的前景。此外,使用了SHapley加法解释(SHAP)方法来解释特征对抗弯能力的重要性和影响。观察到梁宽、截面有效深度和纵向受拉钢筋配筋率对FRP加固钢筋混凝土梁抗弯能力的预测有显著贡献。