基于机器学习的剪力墙住宅梁高预测

Dejiang Wang, Lijun Chen
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摘要

梁高是一个重要的设计参数,它影响着梁的承载能力和稳定性等结构特性。在结构设计的早期阶段,现有的梁高确定方法主要包括经验公式。然而,经验方法主观性强,缺乏准确性,对复杂条件的适应性差。本文建立了剪力墙住宅结构的梁高预测模型。利用某房地产公司在中国不同地区所建项目的结构设计数据,收集了大量的梁高数据集。该模型采用了排列特征重要性(PFI)方法和六种独特的机器学习(ML)模型来排列输入变量的重要性。最终选择了与 PFI 方法得出的特征排序一致的梯度提升(GB)模型。然后,使用模型评估法来选择 GB 模型的输入特征数量,并使用网格搜索和 K 倍交叉验证来优化 GB 预测模型。该模型与反向传播神经网络(BPNN)预测模型进行了比较。最后,使用 SHAP 方法来解释 "黑盒 "机器学习模型。结果表明,与 BPNN 模型相比,GB 模型具有更高的准确性,而且所提出的 GB 模型的输入特征对梁高度的贡献符合力学规律,证明了该模型的合理性。研究结果可为梁高初始设计提供参考。
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Prediction of shear wall residential beam height based on machine learning
The beam height is an important design parameter that influences structural properties such as load-bearing capacity and stability of beams. In the early stages of structural design, the existing methods for determining beam height mainly include empirical formulae. However, empirical methods are highly subjective, lack accuracy, and are poorly adapted to complex conditions. This paper establishes a beam height prediction model for shear wall residential structures. Using structural design data from projects built by a real estate company across various regions in China, a large dataset of beam heights was collected. The Permutation Feature Importance (PFI) method and six unique machine learning (ML) models were used to rank the importance of input variables. The Gradient Boosting (GB) model, consistent with the feature ranking obtained from PFI, was selected. The model evaluation method was then used to select the number of input features for the GB model, and grid search and K-fold cross-validation were employed to optimize the GB prediction model. This model was compared with a prediction model obtained from a Back Propagation Neural Network (BPNN). Finally, the SHAP method was used to interpret the "black box" machine learning model. The results show that the GB model has higher accuracy compared to the BPNN model, and the input features of the proposed GB model contribute to the beam height in accordance with mechanical laws, demonstrating the model's rationality. The research findings can provide a reference for initial beam height design.
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