Wang Jing, Lu Ruichen, Cheng Ming
College of Civil Engineering, Zhengzhou University of Industrial Technology, Zhengzhou, 451150, China.
China Construction Fifth Engineering Division Corp., Ltd., Changsha, 410000, China.
Sci Rep. 2023 Jun 10;13(1):9488. doi: 10.1038/s41598-023-36576-5.
Understanding the load-carrying capacity of circular concrete-filled steel tube (CCFST) columns is crucial for designing CCFST structures. However, traditional empirical formulas often yield inconsistent results for the same scenario, causing confusion for decision makers. Additionally, simple regression analysis is unable to accurately predict the complex mapping relationship between input and output variables. To address these limitations, this paper proposes an ensemble model that incorporates multiple input features, such as component geometry and material properties, to predict CCFST load capacity. The model is trained and tested on two datasets comprising 1305 tests on CCFST columns under concentric loading and 499 tests under eccentric loading. The results demonstrate that the proposed ensemble model outperforms conventional support vector regression and random forest models in terms of the determination coefficient (R) and error metrics (MAE, RMSE, and MAPE). Moreover, a feature analysis based on the Shapley additive interpretation (SHAP) technique indicates that column diameter is the most critical factor affecting compressive strength. Other important factors include tube thickness, yield strength of steel tube, and concrete compressive strength, all of which have a positive effect on load capacity. Conversely, an increase in column length or eccentricity leads to a decrease in load capacity. These findings can provide useful insights and guidance for the design of CCFST columns.
了解圆钢管混凝土(CCFST)柱的承载能力对于设计CCFST结构至关重要。然而,传统的经验公式在相同情况下往往会得出不一致的结果,给决策者带来困惑。此外,简单的回归分析无法准确预测输入和输出变量之间的复杂映射关系。为了解决这些局限性,本文提出了一种集成模型,该模型纳入了多个输入特征,如构件几何形状和材料特性,以预测CCFST的承载能力。该模型在两个数据集上进行了训练和测试,一个数据集包含1305个CCFST柱在同心加载下的试验,另一个数据集包含499个在偏心加载下的试验。结果表明,所提出的集成模型在决定系数(R)和误差指标(MAE、RMSE和MAPE)方面优于传统的支持向量回归和随机森林模型。此外,基于Shapley加法解释(SHAP)技术的特征分析表明,柱直径是影响抗压强度的最关键因素。其他重要因素包括管壁厚度、钢管屈服强度和混凝土抗压强度,所有这些因素对承载能力都有积极影响。相反,柱长或偏心距的增加会导致承载能力下降。这些发现可为CCFST柱的设计提供有用的见解和指导。