用图神经网络模拟动态结构响应,速度远超传统方法且更准。
Graph Network-based Structural Simulator: Graph Neural Networks for Structural Dynamics
- 基于局部坐标系和相位敏感损失,提升动态仿真精度
- 在50kHz脉冲激励下,百步仿真误差小,还能泛化到未知载荷
- 适合需要高速高保真动态模拟的工程场景
图神经网络(GNN)近年来被探索作为数值模拟的代理模型。尽管其在计算流体动力学中已有应用,但在结构问题尤其是动态情形中研究较少。为此,我们提出图网络结构模拟器(GNSS),一种用于动态结构问题代理建模的GNN框架。GNSS遵循典型的编码-处理-解码范式,其设计通过三个关键特性特别适用于动态模拟:(i) 以节点固定局部坐标系表达节点运动学,避免有限差分速度中的灾难性抵消;(ii) 采用符号感知回归损失,减少长时间滚动中的相位误差;(iii) 使用波长感知连接半径,优化图结构构建。我们在一个梁受50kHz Hanning调制脉冲激励的案例上评估了GNSS。结果表明,GNSS能在数百个时间步内准确复现物理规律,并泛化至未见载荷条件,而现有GNN在此类条件下无法收敛或给出有意义预测。与显式有限元基线相比,GNSS实现了显著的推理加速,同时保持空间与时间保真度。这些发现表明,具有物理一致更新规则的局域保持型GNN是波主导动态结构模拟的一种有竞争力的替代方案。
原文摘要 · Abstract (English)
Graph Neural Networks (GNNs) have recently been explored as surrogate models for numerical simulations. While their applications in computational fluid dynamics have been investigated, little attention has been given to structural problems, especially for dynamic cases. To address this gap, we introduce the Graph Network-based Structural Simulator (GNSS), a GNN framework for surrogate modeling of dynamic structural problems. GNSS follows the encode-process-decode paradigm typical of GNN-based machine learning models, and its design makes it particularly suited for dynamic simulations thanks to three key features: (i) expressing node kinematics in node-fixed local frames, which avoids catastrophic cancellation in finite-difference velocities; (ii) employing a sign-aware regression loss, which reduces phase errors in long rollouts; and (iii) using a wavelength-informed connectivity radius, which optimizes graph construction. We evaluate GNSS on a case study involving a beam excited by a 50kHz Hanning-modulated pulse. The results show that GNSS accurately reproduces the physics of the problem over hundreds of timesteps and generalizes to unseen loading conditions, where existing GNNs fail to converge or deliver meaningful predictions. Compared with explicit finite element baselines, GNSS achieves substantial inference speedups while preserving spatial and temporal fidelity. These findings demonstrate that locality-preserving GNNs with physics-consistent update rules are a competitive alternative for dynamic, wave-dominated structural simulations.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。