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    基于物理-数据双驱动的车-桥动力响应迁移学习研究

    A Hybrid Physics-Based and Data-Driven Approach with Transfer Learning for Dynamic Response Analysis of Vehicle-Bridge System

    • 摘要: 提出一种融合物理信息与数据驱动的迁移学习方法(TL-PINN),用于高效求解车辆-桥梁耦合(VBI)系统的时域动力响应.首先,推导移动车辆作用下简支梁桥的闭合解,并采用模态叠加法实现桥梁振动方程的时空解耦.进而构建物理信息神经网络(PINN)框架,训练单轴车辆过桥的基准模型,并将该模型作为“源域”,将网络参数迁移至双轴车辆目标域并进行微调.通过改变桥梁跨径、车速与车重开展参数分析,验证该方法的泛化能力.结果表明:在无数据驱动条件下,PINN仅能识别VBI系统的低频振动成分,高频响应识别不足;引入数据驱动后,TL-PINN可准确捕获桥梁结构的全频段响应,识别精度优于传统数值方法.该方法在保持稳定收敛的同时,收敛所需的迭代步数减少约60%,各项性能评价指标均优于未采用迁移学习的模型,部分工况下提升幅度超过50%.研究成果为PINN在车-桥耦合问题求解中的应用提供了新途径.

       

      Abstract: To efficiently solve the time-domain dynamic responses of vehicle-bridge interaction (VBI) systems,a transfer learning method that integrates physical information with data-driven approaches (TL-PINN) was proposed.The closed-form solution of a simply supported beam under a moving vehicle was derived,and the modal superposition method was employed to decouple the bridge vibration equation in both time and space.A physics-informed neural network (PINN) framework was constructed to train a benchmark model for a single-axle vehicle crossing the bridge.Using this model as the “source domain”, its network parameters were transferred to the target domain of a two-axle vehicle and fine-tuned.A parametric study was conducted by varying the bridge span,vehicle speed,and vehicle weight to verify the generalization capability of the method.The results indicate that,without data-driven components,the PINN can only identify low-frequency vibration components of the VBI system,while high-frequency responses are inadequately captured.After introducing data-driven elements,the TL-PINN accurately captures the full-frequency response of the bridge structure,with identification accuracy superior to traditional numerical methods.This approach maintains stable convergence while reducing the required iteration steps by approximately 60%,and all performance evaluation metrics outperform those of models without transfer learning,with improvements exceeding 50% in some scenarios.The research provides a new pathway for the efficient application of PINN in solving vehicle-bridge coupling problems.

       

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