Mathematical Modeling and Simulation Verification of Complex Path Planning in Digital Twin for Nuclear Additive Manufacturing

YAN Pengfei

doi:10.7512/j.issn.1001-2303.2026.04.07

Intelligent Nuclear, Additive Future | Views : 0 下载量: 21 CSCD: 0

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Mathematical Modeling and Simulation Verification of Complex Path Planning in Digital Twin for Nuclear Additive Manufacturing
Vol. 56, Issue 4, Pages: 60-64(2026)
Received：05 November 2025，

Revised：2026-03-05，

Published：20 April 2026
DOI： 10.7512/j.issn.1001-2303.2026.04.07
稿件说明：

移动端阅览

严鹏飞.核用增材制造数字孪生中复杂路径规划的数学建模与仿真验证［J］.电焊机，2026，56（4）：60-64. DOI： 10.7512/j.issn.1001-2303.2026.04.07.

YAN Pengfei.Mathematical Modeling and Simulation Verification of Complex Path Planning in Digital Twin for Nuclear Additive Manufacturing[J].Electric Welding Machine, 2026, 56(4): 60-64. DOI： 10.7512/j.issn.1001-2303.2026.04.07.

摘要

金属增材制造是实现核用高可靠性构件“材料-结构-制造”一体化的重要途径，而基于熔池监控的数字孪生（DT）技术是保障其成形质量的核心方向。然而，针对复杂激光扫描路径的瞬态空间位置难以通用数字化，现已成为制约热力耦合仿真与数字孪生闭环控制的首要底层算法瓶颈。本文提出了一种适用于任意复杂路径规划的移动热源空间坐标求解数学模型与算法框架。通过重构增材制造设备路径规划的初始约束条件，引入时间与激光扫描轨迹的夹逼映射关系，从理论上彻底消除了实时道次识别与光斑瞬态位置匹配的不确定性。在此基础上，基于有限元环境实现了该解析算法，并成功验证了其在提取复杂路径热历史及构建特征温度场中的准确性与高效性。本研究不仅打破了传统数值仿真对简化阵列路径的依赖，成功实现了复杂路径规划的数字化建模，还为核用增材制造设备的高保真数字孪生系统提供了完整、独立的底层算法支撑。该方法学同时具备向材料挤出等其他复杂轨迹增材制造工艺拓展的潜力。

Abstract

Metal additive manufacturing (AM) is a pivotal approach for achieving high-reliability components of nuclear-oriented components

wherein the digital twin (DT) of in-process melt pool monitoring represents a critical developmental direction. However

the absence of a generalized digital modeling methodology for transient spatial localization of moving lasers under complex scanning paths remains a primary algorithmic bottleneck for thermomechanical simulation and closed-loop control. This paper proposes a mathematical model and a corresponding computational algorithm for determining the spatial coordinates of moving heat sources under arbitrary complex path planning. By reformulating the initial path constraints of AM equipment and introducing a temporal-spatial mapping mechanism

the computational uncertainties regarding real-time track identification and transient spot localization are theoretically eliminated. Furthermore

the proposed algorithm was implemented and validated within a finite element environment

demonstrating its accuracy and efficiency in extracting thermal history and reconstructing characteristic temperature fields for complex scanning strategies. This study successfully establishes the foundational modeling for the DT of complex path planning

overcoming the traditional reliance on simplified scanning paths. It provides a complete and independent theoretical and algorithmic framework for high-fidelity DT in nuclear AM

with significant potential for transferability to extrusion-based AM processes.

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references

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