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arXiv 2403.13136cs.LGcs.NAmath.NA
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用于建模激光定向能量沉积熔池的具有异构输入空间的多保真度代理模型

Multi-fidelity surrogate with heterogeneous input spaces for modeling melt pools in laser-directed energy deposition

The Pennsylvania State University(宾夕法尼亚州立大学)

Nandana Menon, Amrita Basak

AI总结:

本文提出一种异构多保真度高斯过程代理模型,通过映射异构输入空间并融合不同复杂度的热模型,高效且准确地预测了激光定向能量沉积中的熔池几何形状。

摘要:

多保真度(MF)建模是一种强大的统计方法,能够智能融合来自不同保真度源的数据。该方法在预测激光定向能量沉积(L-DED)的熔池几何形状方面具有极具吸引力的应用前景。使用MF代理模型合并一系列熔池模型时面临的一项主要挑战是输入空间的变异性。为应对这一挑战,本文提出了一种构建MF代理模型的新方法,通过整合在异构输入空间上运行的不同复杂度模型来预测熔池几何形状。第一个热模型包含五个输入参数,即激光功率、扫描速度、粉末流量、载气流量和喷嘴高度。相比之下,第二个热模型只能处理激光功率和扫描速度。通过在异构输入空间之间建立映射,可以将该五维空间转换为伪二维空间。随后使用基于高斯过程的协同克里金方法融合预测结果。由此产生的异构多保真度高斯过程(Het-MFGP)代理模型不仅提高了预测精度,还通过减少对高维、高保真度热模型的评估需求提供了计算效率。结果突显了在L-DED中采用Het-MFGP建模熔池行为的优势。该框架成功展示了如何利用多模态数据,并处理某些输入参数可能难以建模或测量的场景。

英文摘要:

Multi-fidelity (MF) modeling is a powerful statistical approach that can intelligently blend data from varied fidelity sources. This approach finds a compelling application in predicting melt pool geometry for laser-directed energy deposition (L-DED). One major challenge in using MF surrogates to merge a hierarchy of melt pool models is the variability in input spaces. To address this challenge, this paper introduces a novel approach for constructing an MF surrogate for predicting melt pool geometry by integrating models of varying complexity, that operate on heterogeneous input spaces. The first thermal model incorporates five input parameters i.e., laser power, scan velocity, powder flow rate, carrier gas flow rate, and nozzle height. In contrast, the second thermal model can only handle laser power and scan velocity. A mapping is established between the heterogeneous input spaces so that the five-dimensional space can be morphed into a pseudo two-dimensional space. Predictions are then blended using a Gaussian process-based co-kriging method. The resulting heterogeneous multi-fidelity Gaussian process (Het-MFGP) surrogate not only improves predictive accuracy but also offers computational efficiency by reducing evaluations required from the high-dimensional, high-fidelity thermal model. The results underscore the benefits of employing Het-MFGP for modeling melt pool behavior in L-DED. The framework successfully demonstrates how to leverage multimodal data and handle scenarios where certain input parameters may be difficult to model or measure.

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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