Analysis and Optimization of Key Factors Affecting the Expansion Quality of Threaded Sleeve and Guide Pipe
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摘要: 为探究胀杆加载距离以及两管间摩擦因数对核燃料组件支撑骨架中螺纹套管与导向管之间胀接质量的影响，通过建立螺纹套管与导向管的等比例数值模型，并设计双因素四水平的正交试验，在给定工况下采用有限元分析方法对不同试验组合进行数值分析。分析结果表明，胀杆加载距离和两管间摩擦因数对胀接质量均有显著影响。为提高优化效率，结合Kriging模型并利用粒子群优化算法以最大减薄率≤10%为约束，在给定的胀杆加载距离和两管间摩擦因数区间内进行优化求解，获得优化胀接参数为胀杆加载距离28.42 mm、摩擦因数0.14。本文研究为提升螺纹套管与导向管胀接质量和改善胀接工艺提供了理论参考。Abstract: This paper aims to explore the effects of the loading distance of the expansion rod and the friction coefficient between two pipes on the expansion quality between the threaded sleeve and the guide pipe in the support frame of nuclear fuel assembly. Based on the established equal scale numerical model of the threaded sleeve and guide pipe and the designed two-factor four-level orthogonal test, the finite element analysis method is used to numerically analyze different test combinations under given conditions. The test results show that the loading distance of the expansion rod and the friction coefficient between two pipes have a significant influence on the quality of the expansion joint. In order to improve the optimization efficiency, combined with Kriging model and particle swarm optimization algorithm, with the maximum thinning rate ≤10% as the constraint, the optimal solution is carried out within the given loading distance of expansion rod and the friction coefficient between two pipes, and the obtained loading distance of expansion rod is 28.42 mm and the friction coefficient is 0.14. The research in this paper provides a theoretical reference for improving the quality of expansion joint between the threaded sleeve and the guide pipe and improving the expansion joint process.
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图 5 不同胀接速度下接触力对比
Figure 5. Comparison of Contact Forces under Different Expansion Speeds
图 6 胀杆加载距离优化区间确定
Figure 6. Determination of Optimization Interval for Loading Distance of Expansion Rod
图 8 粒子群优化算法迭代过程
图中箭头表示个体的搜索方向；红点表示个体位置
Figure 8. Iterative Process of Particle Swarm Optimization Algorithm
表 1 材料属性
Table 1. Material Properties
材料 物理属性 数值 M42 密度/(kg·m−3) 7800 杨氏模量/${\rm{GPa}}$ 210 泊松比 0.3 屈服极限/${\rm{MPa}}$ 405 316L 密度/(kg·m−3) 7980 杨氏模量/${\rm{GPa}}$ 195 泊松比 0.31 屈服极限/${\rm{MPa}}$ 310 Zr-4 密度/(kg·m−3) 7750 杨氏模量/${\rm{GPa}}$ 194 泊松比 0.31 屈服极限/${\rm{MPa}}$ 345 
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表 2 正交试验因素及水平
Table 2. Orthogonal Test Factors and Levels
水平 胀杆加载距离/mm 摩擦因数 1 24 0.08 2 26 0.10 3 28 0.12 4 30 0.14
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表 3 试验方案及结果
Table 3. Test Scheme and Results
试验
编号胀杆加
载距离/mm两管间
摩擦因数最大减
薄率/%接触力/
N胀包
尺寸/mm1 24 0.08 8.311 25.507 14.365 2 24 0.10 8.583 55.354 14.365 3 24 0.12 8.816 89.259 14.362 4 24 0.14 8.670 121.437 14.369 5 26 0.08 9.203 31.309 14.466 6 26 0.10 9.326 53.483 14.462 7 26 0.12 9.480 58.807 14.461 8 26 0.14 9.704 93.326 14.463 9 28 0.08 9.518 21.803 14.575 10 28 0.10 10.300 60.010 14.572 11 28 0.12 9.689 100.995 14.568 12 28 0.14 9.768 128.934 14.566 13 30 0.08 10.151 24.665 14.673 14 30 0.10 10.512 64.761 14.665 15 30 0.12 10.912 102.036 14.660 16 30 0.14 11.461 141.170 14.658
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表 4 两因素对最大减薄率影响的方差分析结果
Table 4. Variance Analysis Results for the Influence of Two-factor on Maximum Thinning Rate
来源 自由度 偏差平方和 P 胀杆加载距离 3 9.6822 2.16×10−5 两管间摩擦因数 3 0.7792 0.0889
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表 5 两因素对接触力影响的方差分析结果
Table 5. Variance Analysis Results for the Influence of Two-factor on Contact Force
来源 自由度 偏差平方和 P 胀杆加载距离 3 1267 0.094 两管间摩擦因数 3 19927 9.13×10−6
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表 6 两因素对胀包尺寸影响的方差分析结果
Table 6. Variance Analysis Results for the Influence of Two-factor on Bulge Size
来源 自由度 偏差平方和 P 胀杆加载距离 3 0.2020 4.8×10−15 两管间摩擦因数 3 0.0001 0.084
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