Parametric deep learning model for predicting bearing capacity of strip foundation via neural operator

Tongtong Niu, Maosong Huang, Jian Yu
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引用次数: 0

Abstract

Strip foundations, as a widely applied form of shallow foundation, involve foundation displacements and soil deformations under loading, which are critical issues in geotechnical engineering. Traditional limit analysis methods can only provide solutions for ultimate bearing capacity, while numerical methods require remeshing and remodeling for different scenarios. To address these challenges, this study proposes a deep learning approach based on the DeepONet neural operator for rapid and accurate predictions of load–displacement curves and vertical displacement fields of strip foundations under various conditions. A dataset with randomly distributed parameters was generated using finite element method, with the training set employed to train the neural network. Validation on the test set shows that the proposed method not only accurately predicts ultimate bearing capacity but also captures the nonlinear characteristics of high-dimensional data. As an offline model alternative to finite element methods, the proposed approach holds promise for efficient and real-time prediction of the mechanical behavior of shallow foundations under loading.

基于神经算子的条形基础承载力参数化深度学习模型
条形基础作为一种应用广泛的浅基础形式,涉及到地基在荷载作用下的位移和土体变形,是岩土工程中的关键问题。传统的极限分析方法只能给出极限承载力的解,而数值方法需要针对不同的场景进行网格重新划分和重构。为了应对这些挑战,本研究提出了一种基于DeepONet神经算子的深度学习方法,用于快速准确地预测各种条件下条形基础的荷载-位移曲线和垂直位移场。采用有限元法生成参数随机分布的数据集,利用训练集对神经网络进行训练。试验集验证表明,该方法不仅能准确预测极限承载力,而且能捕捉高维数据的非线性特征。作为一种替代有限元方法的离线模型,所提出的方法有望有效和实时地预测浅基础在荷载作用下的力学行为。
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