物理-数据双驱动视域下复杂桥梁结构分步与联合动力模型修正策略深度研究

PHYSICS-DATA DUAL-DRIVEN FRAMEWORK FOR COMPLEX BRIDGE MODEL UPDATING: A COMPARATIVE STUDY OF STEP-WISE AND JOINT STRATEGIES

  • 摘要: 长期以来,依托施工图纸建立的有限元模型无法反应桥梁运营期间的真实结构响应,常引入模型修正技术来降低误差,但复杂桥梁结构在修正过程中易存在参数耦合、静动力响应难以协同收敛的问题,严重影响了这类桥梁运营期的动力性能评估。该文提出了物理-数据双驱动视域下面向复杂桥梁结构的分步与联合动力模型修正策略。为突破复杂高精度模型样本匮乏的瓶颈,构建了基于“物理引导-数据驱动”的深度学习修正框架,成功将稀疏样本科学扩充,生成了嵌入物理机制的PINN-LSTM代理模型,消融实验表明该架构较原始数据驱动方法预测误差降低了82.67%;分别开展了“先静后动”的分步修正与“静动异构特征融合”的联合修正策略的对比,发现分步修正策略呈现静力高保真特征,可以使静力误差从14.90%降至1.90%,但受限于单目标优化,频率拟合精度有限,而联合修正策略实现了动力特性的深度逼近,前三阶频率误差分别从8.05%、9.11%、9.90%显著降低至0.02%、0.70%和0.88%,可为桥梁结构非线性动力分析提供基准模型;为增强该方法的工程应用价值,该文开发了集成一体化模型修正策略的可视化软件,作为辅助工具。

     

    Abstract: Finite element models derived from construction drawings often fail to capture in-service bridge responses, and updating complex bridges is frequently hindered by parameter coupling and poor static-dynamic joint convergence. This study proposes physics-data dual-driven stepwise and unified dynamic model updating strategies for complex bridges. A physics-guided, data-driven framework is developed to enrich sparse samples and build a physics-embedded PINN-LSTM surrogate, reducing the prediction error by 82.67% relative to the purely data-driven baseline. Comparative results show that the stepwise “static-first, dynamic-next” strategy improves the static accuracy (error: 14.90%to1.90%) but yields limited frequency fitting, whereas the unified static-dynamic feature fusion strategy markedly enhances the dynamic fidelity, decreasing the first three modal frequency errors from 8.05%, 9.11%, and 9.90% to 0.02%, 0.70%, and 0.88%, respectively, and providing a calibrated baseline model for subsequent nonlinear dynamic analysis. An integrated visualization software tool is further developed to facilitate engineering applications.

     

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