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桥梁施工线形控制中的物理信息神经网络应用

Bridge Alignment Prediction in Bridge Construction Stage Based on Physics-informed Neural Network

  • 摘要: 针对大跨度连续梁桥施工阶段有限元模型线形预测误差较大、传统数据驱动方法对大量实测数据依赖较强的问题,提出一种基于物理信息神经网络(Physics-Informed Neural Network,PINN)的桥梁预拱度预测方法。该方法将欧拉-伯努利梁理论引入神经网络损失函数,作为物理约束融入模型训练过程,并结合施工阶段少量监测数据实现对结构受力变形特征的学习;同时采用常春藤算法(IVYA)对网络超参数进行优化,以提升模型训练效率与预测性能。数值实验表明:相较于传统GM-BP模型,PINN模型在悬臂端挠度曲线预测中表现出更高的精度与稳定性,平均相对误差从6.37%降至0.68%,模型训练误差由4.136×102降低至1.617×102。研究表明,该方法在数据稀疏条件下仍能够保持较好的物理一致性、泛化能力与外推能力,可有效提高桥梁施工阶段预拱度预测的准确性,为施工线形控制与智能化监测提供了一种高效可靠的新思路。

     

    Abstract: To address the issues of large alignment prediction errors in finite element models and the strong dependence of traditional data-driven methods on extensive measured data during the construction stage of long-span continuous girder bridges, a bridge camber prediction method based on a Physics-Informed Neural Network (PINN) is proposed. In this method, the Euler-Bernoulli beam theory is incorporated into the neural network's loss function as a physical constraint during the model training process. Combined with sparse monitoring data from the construction stage, the model effectively captures the structural stress and deformation characteristics. Furthermore, the Ivy algorithm (IVYA) is utilized to optimize the network's hyperparameters, thereby improving the training efficiency and prediction performance. Numerical experiments demonstrate that the PINN model exhibits higher accuracy and stability in predicting the cantilever end deflection compared to the traditional GM-BP model. The average relative error is reduced from 6.37% to 0.68%, and the model training error is decreased from 4.136×102 to 1.617×102. These results indicate that the proposed method maintains excellent physical consistency, as well as robust generalization and extrapolation capabilities under sparse data conditions. Ultimately, this method effectively improves the accuracy of pre-camber prediction during bridge construction, providing a highly efficient and reliable new approach for construction alignment control and intelligent monitoring.

     

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