论文标题
物理知情的动态压力预测神经网络
Physics Informed Neural Network for Dynamic Stress Prediction
论文作者
论文摘要
结构性故障通常是由地震和风等灾难性事件引起的。结果,在实时高度破坏性事件中预测动态应力分布至关重要。当前可用的高保真方法,例如有限元模型(FEM),遭受了固有的高复杂性。因此,为了降低计算成本,提出了一种物理学知情的神经网络(PINN),即PINN符号模型,以使用部分微分方程(PDE)求解器来预测基于有限元模拟的应力分布的整个序列。使用自动分化,我们将PDE嵌入了深层神经网络的损失函数中,以合并来自测量和PDE的信息。 PINN应力模型可以预测几乎实时的应力分布序列,并且可以比没有PINN的模型更好地概括。
Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity methods, such as Finite Element Models (FEMs), suffer from their inherent high complexity. Therefore, to reduce computational cost while maintaining accuracy, a Physics Informed Neural Network (PINN), PINN-Stress model, is proposed to predict the entire sequence of stress distribution based on Finite Element simulations using a partial differential equation (PDE) solver. Using automatic differentiation, we embed a PDE into a deep neural network's loss function to incorporate information from measurements and PDEs. The PINN-Stress model can predict the sequence of stress distribution in almost real-time and can generalize better than the model without PINN.