用双图神经网络快速预测混凝土梁受力变形,比传统模拟快得多。
A Dual-Graph Spatiotemporal GNN Surrogate for Nonlinear Response Prediction of Reinforced Concrete Beams under Four-Point Bending
- 构建节点与单元双图结构,分别捕捉位移和应力演化规律。
- 在4点弯曲下实现全场位移、应力、塑性应变和反力的联合预测。
- 特别适合需要快速评估多种加载位置的设计探索场景。
高保真非线性有限元(FE)模拟在钢筋混凝土(RC)结构中仍成本高昂,尤其在加载位置变化的参数化设置中。本文开发了一种双图时空图神经网络(GNN)代理模型,用于预测四点弯曲下RC梁的时间历程响应。通过独立移动两个加载块在网格对齐的坐标上,开展参数化Abaqus仿真,获取固定归一化载荷水平下的全场响应数据。模型采用自回归滚动预测,在单一多任务框架中同时输出节点位移、单元级冯·米塞斯应力、等效塑性应变(PEEQ)及全局竖向反力。为避免因强制节点表示导致的峰值误差,引入节点-单元-节点传递路径:节点分支使用基于图卷积的门控循环单元(GConvGRU)建模运动学,单元分支使用另一GConvGRU捕捉历史相关内变量,并通过单元分支池化预测全局力。消融实验表明,去除该传递路径后,局部高梯度应力/塑性应变区域的峰值预测精度提升,而全局荷载-位移趋势不受影响。训练完成后,该代理模型以极低计算成本生成完整响应轨迹,显著加速参数化分析与设计探索。
原文摘要 · Abstract (English)
High-fidelity nonlinear finite-element (FE) simulations of reinforced-concrete (RC) structures are still costly, especially in parametric settings where loading positions vary. We develop a dual-graph spatiotemporal GNN surrogate to approximate the time histories of RC beams under four-point bending. To generate training data, we run a parametric Abaqus campaign that independently shifts the two loading blocks on a mesh-aligned grid and exports full-field responses at fixed normalized loading levels. The model rolls out autoregressively and jointly predicts nodal displacements, element wise von Mises stress, element-wise equivalent plastic strain (PEEQ), and the global vertical reaction force in a single multi-task setup. A key motivation is the peak loss introduced when element quantities are forced through node-based representations. We therefore couple node- and element-level dynamics using two recurrent graph branches: a node-level graph convolutional gated recurrent unit (GConvGRU) for kinematics and an element-level GConvGRU for history-dependent internal variables, with global force predicted through pooling on the element branch. In controlled ablations, removing the Element to Node to Element pathway improves peak-sensitive prediction in localized high-gradient stress/PEEQ regions without degrading global load displacement trends. After training, the surrogate produces full trajectories at a fraction of the cost of nonlinear FE, enabling faster parametric evaluation and design exploration.
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。