提出高精度热传导模型，解决复合材料自动化铺放中快速变化条件下的温控难题。
Transient multimode heat transfer of an industrial automated tape laying process under rapidly changing conditions
- 融合对流、导热、辐射的多模式瞬态热传导建模，改进传统简化模型
- 在高速变化条件下实现1.08%的预测误差（NRMSE），验证了模型高精度
- 适合工业级复合材料制造中的实时热状态估计与质量控制
本文提出一种针对工业自动化铺放（ATL）过程的瞬态多模式热传导模型，克服传统热模型在复合材料制造中的局限性。该模型求解耦合对流、导热、辐射的热传导方程。关键创新在于采用解析视因子方法，考虑有限发射源与胶带宽度，纠正了1.5D简化模型导致的辐射热流系统性高估。此外，引入基于理查森数的局部对流评估，涵盖混合对流效应，确保宽速域下的准确性。系统由移动胶带基材与红外热源两个相互作用子系统构成，胶带采用两节点离散化模型，以捕捉加热面与监测面间的物理相位差。通过高阶隐式积分的单体求解策略，保证高动态条件下的数值稳定性。模型在工业级ATL线上验证，于快速速度与电流调制下整体偏差仅1.08%（NRMSE）。该框架为热状态估计提供高保真物理基础，支持一致的原位压实与提升零件质量。
原文摘要 · Abstract (English)
This work presents a transient heat-transfer model of an industrial automated tape laying (ATL) process designed to overcome the limitations of conventional thermal models in composite manufacturing. The model solves the heat-conduction equation with coupled advection, conduction, convection, and radiation. A key innovation is the implementation of an analytical view factor approach that accounts for finite emitter and tape widths, thereby correcting systematic overestimations of radiative heat flux inherent in 1.5D simplifications. Furthermore, a local convection assessment incorporates mixed convection effects characterized by the Richardson number, ensuring accuracy across a wide range of process speeds. The ATL system is represented by two interacting subsystems: the moving tape substrate and the infrared heat sources. The tape is discretized using a two-node model that resolves the physical phase shift between the heated and monitored surfaces. Numerical stability under high dynamics is ensured by a monolithic solution strategy using a high-order implicit integration scheme. Model predictions were validated on an industrial ATL line, demonstrating an overall deviation of only 1.08% (NRMSE) under rapid velocity and current modulations. This framework provides a high-fidelity, physics-based foundation for thermal state estimation, supporting consistent in-situ consolidation and improved part quality.
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