基于堆叠集成学习混合方法的钢纤维混凝土抗压强度预测与应用

Prediction and application of steel fiber-reinforced concrete compressive strength: Hybrid methods with stacking ensemble learning

  • 摘要: 随着现代工程对材料性能要求不断提高,钢纤维混凝土(SFRC)作为一种具有优异力学性能和耐久性的复合材料,在工程中得到了广泛的应用. 钢纤维混凝土的抗压强度是衡量其性能的关键指标. 通过室内试验对钢纤维混凝土的抗压强度进行测试,往往需要花费大量的人力物力,且养护周期较长. 基于此,提出了一种基于堆叠集成学习的钢纤维混凝土抗压强度预测模型. 基于收集到的211组不同的钢纤维混凝土配合比数据,选用SVM、DT、KNN、RF和BP 5种单一模型进行堆叠集成学习. 同时,使用6种优化算法对5种单一模型进行优化,最终得到OP-Stacking混合模型. 使用OP-Stacking混合模型对钢纤维混凝土7天抗压强度进行预测,MSE和R2分别为96.49370.9332,均优于其他5种单一模型. 同时,将钢纤维混凝土7天、28天的抗压强度进行线性拟合,得到了7天、28天强度的经验公式. 最后,将OP-Stacking混合模型与7天、28天强度经验公式进行了封装,建立了钢纤维混凝土强度预测系统和智能配比设计,为滇中引水工程新型支护设计快速施工提供了重要支持.

     

    Abstract: Modern engineering increasingly demands high-performance building materials. Steel fiber-reinforced concrete (SFRC), a composite material with excellent mechanical properties and durability, has therefore gained wide application. The compressive strength of SFRC is a key indicator of its performance; however, conventional laboratory testing through standardized curing and loading procedures requires significant manpower, costly materials, and extended curing times that often span several weeks. To address these limitations, this study proposes an innovative predictive framework based on stacking ensemble learning to efficiently and accurately estimate SFRC compressive strength. A comprehensive dataset comprising 211 distinct SFRC mix proportions was collected and randomly divided into training (169 samples) and testing (42 samples) sets using an 8:2 ratio. Principal component analysis (PCA) reduced the dimensionality of the original 10 input variables to 5 principal components, thereby simplifying computation and mitigating risks of overfitting. Four machine learning algorithms—Support Vector Machine (SVM), Decision Tree (DT), K-Nearest Neighbors (KNN), and Random Forest (RF)—were employed as base learners, while a Backpropagation Neural Network (BP) served as the meta-learner in the stacking framework. To further improve predictive accuracy, six optimization algorithms—Whale Optimization Algorithm (WOA), Sparrow Search Algorithm (SSA), Gray Wolf Optimizer (GWO), Arithmetic Optimization Algorithm (AOA), Chaos Game Optimization (CGO), and Particle Swarm Optimization (PSO)—were applied to tune hyperparameters of the individual models. The optimally tuned models were then integrated through a stacking ensemble strategy, producing the OP-Stacking hybrid model. The predictive performance of OP-Stacking was evaluated against the five individual models using both the training and testing datasets. Results demonstrated that OP-Stacking significantly outperformed its component models across all evaluation metrics. On the training set, OP-Stacking achieved a mean squared error (MSE) of 29.9903, mean absolute error (MAE) of 3.621, mean absolute percentage error (MAPE) of 8.39%, and coefficient of determination (R2) of 0.9772. On the testing set, the model achieved an MSE of 96.4937, MAE of 7.1328, MAPE of 12.99%, and R2 of 0.9332. Comparative analysis confirmed the superiority of OP-Stacking in terms of predictive accuracy, generalization ability, and fitting performance. Beyond short-term prediction, linear regression analysis was conducted to establish a relationship between the 7-day and 28-day compressive strengths of SFRC. The analysis yielded a strong correlation with R2 = 0.963 and produced an empirical formula describing the development of compressive strength from early to later curing stages. This empirical relationship enhances the practical utility of the proposed framework by enabling reliable long-term strength predictions from short-term data. Finally, the OP-Stacking hybrid model and the derived empirical formulas were encapsulated within a user-friendly predictive system developed using the Qt Framework. This integrated tool supports both compressive strength prediction and intelligent mix proportion design for SFRC. The system has already demonstrated its value by providing essential technical support for the accelerated construction of innovative support structures in the Central Yunnan Water Diversion Project.

     

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