基于模型降阶方法的大坝静态响应快速计算方法
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(1.河海大学水利水电学院;2.贵州省大坝安全监测中心 )

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程井(1982—),男,副教授,博士,主要从事智能温控及库坝工程风险研究。Email:cj042@126.com

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水利部黄河流域水治理与水安全重点实验室研究基金项目(2024-SYSJJ-02);国家重点研发计划项目(2022YFC3005501);水利部重大科技项目(SKS-2022153);贵州省水利科技项目(KT202537)


Rapid calculation method for static response of dams based on model order reduction
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(1.Collegeof Water Conservancy & Hydropower Engineering, Hohai University;2.DamSafety Monitoring Center of Guizhou Province )

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    摘要:

    为解决孪生模型监测数据量大与高保真实时响应之间的矛盾,以拱坝为例提出了一种基于POD-RBFNN降阶模型的大坝变形快速计算方法。该方法基于有限元仿真得到的不同水位工况下的静态响应数据,通过本征正交分解(POD)法提取主导模态及模态系数,结合径向基函数神经网络(RBFNN)建立水位参数与模态系数之间的高精度代理映射,实现拱坝静态位移场的快速精准预测。算例结果表明:在仅考虑静水压力和结构自重作用条件下,POD-RBFNN降阶模型的预测结果与有限元(FEM)仿真结果吻合良好,平均相对误差为0.35%,平均绝对误差仅为0.003 2 mm,同时计算效率相较于有限元仿真提升了3 004倍。

    Abstract:

    To resolve the contradiction between massive monitoring data of twin models and high-fidelity rapid response, a rapid calculation method for dam deformation based on a POD-RBFNN reduced-order model was proposed taking an arch dam as an example. Based on static response data under different water level conditions obtained through finite element simulations, dominant modes and modal coefficients were extracted using the proper orthogonal decomposition (POD) method. Combined with a radial basis function neural network (RBFNN), a high-accuracy surrogate mapping between water level parameters and modal coefficients was established, achieving rapid and accurate prediction of the static displacement field of the arch dam. Calculation results show that under the condition of considering only hydrostatic pressure and structural self-weight, the prediction results of the POD-RBFNN reduced-order model agree well with finite element (FEM) simulation results, with an average relative error of 0.35% and an average absolute error of only 0.003 2 mm. Meanwhile, the calculation efficiency is improved by 3 004 times compared with the finite element simulation.

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程井,胡乔桦,余雷,等.基于模型降阶方法的大坝静态响应快速计算方法[J].河海大学学报(自然科学版),2026,54(4):125-131.(Cheng Jing, Hu Qiaohua, Yu Lei, et al. Rapid calculation method for static response of dams based on model order reduction[J]. Journal of Hohai University (Natural Sciences),2026,54(4):125-131.(in Chinese))

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  • 收稿日期:2025-07-29
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  • 在线发布日期: 2026-07-20
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