铅铋环境绕丝燃料棒湍流振动响应分析

张珂; 王远岑; 黄茜; 刘建; 张毅雄; 余晓菲; 齐欢欢

doi:10.21656/1000-0887.450123

铅铋环境绕丝燃料棒湍流振动响应分析

doi: 10.21656/1000-0887.450123

张珂^1,,
王远岑^2, ,,
黄茜¹,
刘建¹,
张毅雄¹,
余晓菲¹,
齐欢欢¹

1.
中国核动力研究设计院先进核能技术全国重点实验室，成都 610213
2.
中国工程物理研究院总体工程研究所，四川绵阳 621900

基金项目:

四川省自然科学基金 2022NSFSC1943

详细信息

作者简介:
张珂(1996—)，男，工程师，硕士(E-mail: 614770892@qq.com)

通讯作者:
王远岑(1987—)，男，助理研究员，博士(通讯作者. E-mail: wangyuancen@sina.cn)

中图分类号: TL334;O35
计量
- 文章访问数: 46
- HTML全文浏览量: 12
- PDF下载量: 6
- 被引次数: 0
出版历程
- 收稿日期: 2024-05-06
- 修回日期: 2024-11-01
- 刊出日期: 2025-06-01

Analysis of Turbulent Vibration Responses of Wire-Wrapped Fuel Rods in Lead-Bismuth Fluids

1.
State Key Laboratory of Advanced Nuclear Energy Technology, Nuclear Power Institute of China, Chengdu 610213, P.R.China
2.
Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan 621900, P.R.China

摘要

摘要: 液态金属铅铋的密度与黏度均远大于水，在反应堆中引起的燃料组件流致振动及磨损问题不可忽视. 该文采用计算流体力学与有限元结构动力分析相结合的流固耦合分析方式，利用空间周期性与时间周期性，提出了绕丝燃料棒湍流振动响应的快速分析方法. 利用绕丝燃料棒的空间周期结构建立单跨流场模型，基于CFD分析获得了铅铋环境流体激励载荷；利用湍流激励力功率谱密度的频域信息，开发等效时程扩展技术获得了用于振动分析的长时程载荷；考虑绕丝燃料棒间的非线性接触碰撞，建立有限元分析模型开展了振动响应分析. 结果表明，轴向流动的液态铅铋会引起绕丝燃料棒的湍流抖振，最大振幅约为3.83 μm，满足工程设计要求.
- 绕丝燃料棒 /
- 流致振动 /
- 湍流抖振 /
- 铅铋环境
Abstract: The density and viscosity of liquid lead-bismuth metal are much larger than those of water, which causes nonnegligible flow induced vibration (FIV) and wear problems of fuel assemblies in the reactor. With the fluid-structure coupled analysis method combining the CFD and the FEM, a rapid analysis method for the turbulent vibration responses of wire-wrapped fuel rods was proposed in view of the spatial periodicity and time periodicity. For the space periodic structure of wire-wrapped fuel rods, a single-span flow field model was established, and the lead-bismuth environment fluid excitation load was obtained based on the CFD analysis. From the frequency domain information of the turbulent excitation force PSD, the equivalent time history extrapolation technique was developed to obtain long-duration loads for vibration analysis. With the nonlinear contact between the wire-wrapped fuel rods considered, an FEM model was established to carry out the vibration analysis. The results show that, the axial flow of liquid lead-bismuth causes turbulent vibrations of fuel rods, with a maximum amplitude of 3.83 μm, which meets the engineering design requirement.
- wire-wrapped fuel rod /
- flow induced vibration /
- turbulent vibration /
- lead-bismuth fluid environment

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图 1 CFD分析区域

Figure 1. The CFD analysis area

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图 2 流场分析几何模型

Figure 2. The geometry model for the CFD analysis

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图 3 网格示意图

Figure 3. Polyhedral meshes

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图 4 周期性边界

Figure 4. Periodic boundaries

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图 5 分段说明

Figure 5. The segmentation illustration

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图 6 分段截面示意图

Figure 6. Segmentation sections

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图 7 流体力载荷

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 7. Fluid force

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图 8 燃料棒非线性结构动力分析模型

Figure 8. The nonlinear dynamic FEM model for the fuel rod

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图 9 原始流体力信号转化为等效流体力信号

Figure 9. Original fluid force signals transferring to equivalent fluid force signals

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图 10 不同计算情况燃料棒最大位移时程曲线

Figure 10. Max displacement time histories of fuel rods under different BCs

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表 1 网格无关性验证结果

Table 1. Grid independence verification results

grid base size/mm	2.0	1.2	0.8	0.6
number of grids/10⁴	356	684	1 111	1 404
average wall shear stress/Pa	43.49	41.97	41.27	41.25

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表 2 流体力载荷统计值

Table 2. Fluid force statistical values

segment number	average			pulsation amplitude
segment number	F_x/N	F_y/N	F_z/N	F_x/N	F_y/N	F_z/N
S1	-0.045 9	0.009 5	-0.030 5	0.008 3	0.007 4	0.001 2
S2	-0.031 3	0.016 7	-0.030 5	0.005 7	0.009 6	0.001 3
S3	-0.074 3	0.005 3	-0.030 2	0.011 6	0.008 0	0.001 3
S4	-0.084 3	-0.083 6	-0.030 5	0.010 3	0.007 6	0.001 3
S5	0.057 8	-0.147 2	-0.030 5	0.008 3	0.010 3	0.001 5
S6	0.176 7	-0.101 6	-0.030 0	0.012 2	0.010 7	0.001 1

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表 3 不同边界条件下燃料棒模态频率(单位: Hz)

Table 3. Modal frequencies of fuel rods under different BCs(unit: Hz)

frequency order	fixed+weak constraint		fixed+free
frequency order	with clearance	no clearance	with clearance	no clearance
1	1.05	223.68	1.05	141.87
2	6.17	271.31	1.05	146.77
3	6.33	373.81	6.17	223.68
4	17.28	452.42	6.17	375.32
5	17.79	475.44	17.28	416.22
6	34.02	509.00	17.28	452.42
7	35.19	545.43	34.02	475.45
8	55.76	555.17	34.02	509.02
9	57.67	577.11	55.76	545.49
10	83.13	612.65	55.76	577.09

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表 4 各计算情况Rayleigh阻尼系数

Table 4. Rayleigh damping factors of different BCs

calculation situation	α	β
situation 1	0.226	8.600×10^-4
situation 2	35.171	1.065×10^-5
situation 3	0.226	8.600×10^-4
situation 4	21.818	1.741×10^-5

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表 5 绕丝燃料棒最大位移

Table 5. Max displacements of fuel rods

calculation situation	maximum of average displacement/μm			maximum of pulsation displacement RMS/μm
calculation situation	u_x	u_y	combination	u_x	u_y	combination
situation 1	13.55	-8.85	16.19	3.83	0.06	3.83
situation 2	-0.44	-0.46	0.64	0.01	0.00	0.01
situation 3	-12.23	-47.05	48.61	0.41	0.38	0.56
situation 4	-0.50	-4.58	4.61	0.01	0.01	0.01

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表 6 绕丝燃料棒最大接触力

Table 6. Max contact forces of different BCs

calculation situation	max contact force RMS/N	max pulsation contact force RMS/N
situation 1	0.327 7	0.035 5
situation 2	0.262 5	0.004 2
situation 3	0.346 6	0.020 8
situation 4	0.441 8	0.003 9

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参考文献(13)

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