将车辆碰撞中的刚性运动与局部变形分离,提升预测精度与物理可解释性。
Rigid-Deformation Decomposition AI Framework for 3D Spatio-Temporal Prediction of Vehicle Collision Dynamics
- 分层网络分别处理刚体运动和局部变形,用四元数增量策略保持运动稳定。
- 刚体运动误差降低29.8%,总插值误差减少17.2%,角外推误差下降46.6%。
- 适合需要高精度、可解释的非线性碰撞仿真场景,如自动驾驶安全评估。
本研究提出一种刚性-变形分解框架,用于改善基于坐标的隐式神经表示在车辆碰撞动力学预测中的谱偏差问题。通过两级专用网络(RigidNet与DeformationNet)解耦全局刚体运动与局部变形,并采用冻结锚点训练策略结合四元数增量方案,有效缓解联合训练中的运动不稳定性,使刚体运动误差相比传统直接预测方案降低29.8%。稳定的刚体锚点提升了高频结构屈曲的分辨率,总插值误差减少17.2%。损失曲面分析表明,该分解使优化面更平滑,增强对角度外推分布偏移的鲁棒性,误差降低46.6%。为验证物理合理性,将分解组件与理想上限模型(oracle model)对比:恢复了92%的刚性与变形分量方向相关性,空间变形定位准确率达96%,并以8毫秒延迟追踪时序能量演化。结果表明,该框架能实现高精度且具物理可解释性的非线性碰撞动态预测。
原文摘要 · Abstract (English)
This study presents a rigid-deformation decomposition framework for vehicle collision dynamics that mitigates the spectral bias of implicit neural representations, that is, coordinate-based neural networks that directly map spatio-temporal coordinates to physical fields. We introduce a hierarchical architecture that decouples global rigid-body motion from local deformation using two scale-specific networks, denoted as RigidNet and DeformationNet. To enforce kinematic separation between the two components, we adopt a frozen-anchor training strategy combined with a quaternion-incremental scheme. This strategy alleviates the kinematic instability observed in joint training and yields a 29.8% reduction in rigid-body motion error compared with conventional direct prediction schemes. The stable rigid-body anchor improves the resolution of high-frequency structural buckling, which leads to a 17.2% reduction in the total interpolation error. Loss landscape analysis indicates that the decomposition smooths the optimization surface, which enhances robustness to distribution shifts in angular extrapolation and yields a 46.6% reduction in error. To assess physical validity beyond numerical accuracy, we benchmark the decomposed components against an oracle model that represents an upper bound on performance. The proposed framework recovers 92% of the directional correlation between rigid and deformation components and 96% of the spatial deformation localization accuracy relative to the oracle, while tracking the temporal energy dynamics with an 8 ms delay. These results demonstrate that rigid-deformation decomposition enables accurate and physically interpretable predictions for nonlinear collision dynamics.
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。