基于物理信息神经网络的桥梁动态位移响应无监督重构方法

Unsupervised reconstruction method for dynamic displacement response of bridges based on physics-informed neural network

  • 摘要: 针对现有基于物理信息神经网络(PINN)的桥梁动态位移重构方法存在需要目标点的大量响应数据的难题,提出了一种基于PINN的桥梁动态位移响应无监督重构方法。首先,基于结构频响函数和自适应循环神经网络(AdaRNN),构建了面向动态位移响应重构的物理信息神经网络;其次,基于时序漂移理论构建AdaRNN网络,并结合PINN构建无监督响应重构网络;然后,将应变数据进行时序相似性量化,并利用预训练方法学习应变的变化特征;再次,通过PINN网络估计目标点和非目标点的位移响应训练值,并将其输入到AdaRNN网络中训练,通过预训练学习结果修正PINN重构的位移响应。数值算例和实验室模型实验验证了所提出的方法能在无目标点数据参与网络训练的情况下高精度重构桥梁动态响应,并系统讨论了传感器数量、位置和测量噪声对重构精度的影响。结果表明:基于PINN的无监督响应重构方法有效解决了目标点样本缺乏情况下的桥梁动态位移重构难题。

     

    Abstract: To address the problem that existing bridge dynamic displacement reconstruction methods based on physical information neural network (PINN) require huge response data of target points, an unsupervised reconstruction method based on PINN is proposed. Firstly, a PINN for dynamic displacement response reconstruction is constructed based on structural frequency response function and RNN. Secondly, the adaptive recurrent neural network (AdaRNN) is constructed based on the temporal drift theory, and the unsupervised response reconstruction network is constructed by combining PINN. Then, the temporal similarity of strain data is quantified and pre-training method is used to learn the changing characteristics of strain data. Finally, PINN network is used to estimate the displacement response training values of target points and non-target points, which are inputted into AdaRNN network for training, and the displacement response reconstructed by PINN is modified through pre-training learning results. Numerical examples and laboratory model experiments verify that the proposed method can reconstruct the bridge dynamic response with high accuracy in the absence of response at target points in network training. The effectiveness of the proposed method, and the effects of sensor number, position and measurement noise on the reconstruction accuracy are systematically discussed.

     

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