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arXiv 2307.01804cs.LGcs.CG
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通过傅里叶神经算子捕捉增材制造过程中的局部温度演化

Capturing Local Temperature Evolution during Additive Manufacturing through Fourier Neural Operators

Carnegie Mellon University(卡内基梅隆大学);University of Twente(特温特大学)

Jiangce Chen, Wenzhuo Xu, Martha Baldwin, Björn Nijhuis, Ton van den Boogaard, Noelia Grande Gutiérrez, Sneha Prabha Narra, Christopher McComb

AI总结:

本文提出基于傅里叶神经算子的数据驱动模型来捕捉增材制造中的局部温度演化,并采用R²指标评估模型保真度,在直接能量沉积模拟中验证了其高保真性和对未知几何形状的泛化能力。

摘要:

高保真、数据驱动的模型能够快速模拟增材制造(AM)过程中的热行为,这对于提升增材制造技术在零件设计、工艺规划、监测和控制等多个领域的性能至关重要。然而,零件几何形状的复杂性使得当前模型难以在广泛的几何形状范围内保持高精度。此外,许多模型报告了整个域(零件)上的较低均方误差(MSE)。但在每个时间步中,除了最近沉积区域附近的热影响区之外,域内大多数区域的温度并未发生显著变化。因此,基于MSE的模型保真度评估可能被高估。本文提出了一种数据驱动模型,利用傅里叶神经算子(Fourier Neural Operator)来捕捉增材制造过程中的局部温度演化。此外,作者提出使用R²指标来评估模型,该指标提供了一个相对度量,用于衡量模型性能相较于使用平均温度作为预测的优劣。该模型在基于间断伽辽金有限元法的直接能量沉积过程数值模拟上进行了测试,结果表明,该模型在以R²衡量的保真度方面表现优异,并且对训练过程中未包含的几何形状保持了泛化能力。

英文摘要:

High-fidelity, data-driven models that can quickly simulate thermal behavior during additive manufacturing (AM) are crucial for improving the performance of AM technologies in multiple areas, such as part design, process planning, monitoring, and control. However, the complexities of part geometries make it challenging for current models to maintain high accuracy across a wide range of geometries. Additionally, many models report a low mean square error (MSE) across the entire domain (part). However, in each time step, most areas of the domain do not experience significant changes in temperature, except for the heat-affected zones near recent depositions. Therefore, the MSE-based fidelity measurement of the models may be overestimated. This paper presents a data-driven model that uses Fourier Neural Operator to capture the local temperature evolution during the additive manufacturing process. In addition, the authors propose to evaluate the model using the $R^2$ metric, which provides a relative measure of the model's performance compared to using mean temperature as a prediction. The model was tested on numerical simulations based on the Discontinuous Galerkin Finite Element Method for the Direct Energy Deposition process, and the results demonstrate that the model achieves high fidelity as measured by $R^2$ and maintains generalizability to geometries that were not included in the training process.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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