冲击载荷下圆柱形锂离子电池的动态响应预测

黄子轩; 张新春; 顾丽蓉; 安利强; 饶理想; 张玮琦

doi:10.11883/bzycj-2024-0188

冲击载荷下圆柱形锂离子电池的动态响应预测

doi: 10.11883/bzycj-2024-0188

黄子轩^1,,
张新春^{1, 2, ,},
顾丽蓉¹,
安利强^{1, 2},
饶理想^{1, 2},
张玮琦¹

1.
华北电力大学机械工程系，河北保定 071003
2.
华北电力大学河北省电力机械装备健康维护与失效预防重点实验室，河北保定 071003

基金项目: 国家自然科学基金（12304116）；河北省自然科学基金（A2020502005）

详细信息

作者简介:
黄子轩（1999－　），男，博士研究生，zxhuang@ncepu.edu.cn

通讯作者:
张新春（1980－　），男，博士，副教授，xczhang@ncepu.edu.cn

中图分类号: O347; U469.72
计量
- 文章访问数: 54
- HTML全文浏览量: 19
- PDF下载量: 22
- 被引次数: 0
出版历程
- 收稿日期: 2024-06-17
- 修回日期: 2024-09-09
- 网络出版日期: 2024-09-12

Dynamic response prediction of cylindrical lithium-ion batteries under impact loading

HUANG Zixuan^1
,,
ZHANG Xinchun^{1, 2
, ,},
GU Lirong¹,
AN Liqiang^{1, 2},
RAO Lixiang^{1, 2},
ZHANG Weiqi¹

1.
Department of Mechanical Engineering, North China Electric Power University, Baoding 071003, Hebei, China
2.
Hebei Key Laboratory of Electric Machinery Health Maintenance and Failure Prevention, North China Electric Power University, Baoding 071003, China

摘要

摘要: 为提高径向冲击载荷下圆柱形锂离子电池的安全性，基于膜力因子法研究了大变形下电池的动态响应特性。将电池首先简化为包括内芯和外壳的夹层梁结构，根据抗拉屈服强度建立了电池横截面的塑性屈服准则和膜力因子，进一步将膜力因子引入运动方程实现了大变形下动态响应的求解。此外，基于拉压试验测定了电池构件的力学性能，进一步建立了电池整体有限元模型。研究表明：电池位移响应和速度响应的理论结果和有限元结果具有一致性；冲击载荷下电池初始速度越高，轴力效应对动态响应的影响越大；电池最大挠度随初始速度近似线性增加，且实际的响应时间具有饱和性；电池最大挠度随内芯和外壳屈服强度之比的减小而增大，电池外壳越薄，屈服强度的影响越显著；电池最大挠度随外壳厚度的增大而减小，屈服强度比越大，外壳厚度的影响越显著。
- 锂离子电池 /
- 动态响应 /
- 大变形 /
- 冲击载荷 /
- 膜力因子法
Abstract: To improve the safety performance of cylindrical lithium-ion batteries under radial dynamic impacting, the dynamic response characteristics of the batteries under large deformation were investigated based on the membrane factor method. Firstly, the battery was simplified to sandwich beam including the casing and inner core. The plastic yield criterion and membrane factor of the battery cross-section were established based on tensile yield strengths. The membrane factor was introduced into the motion equation to solve the dynamic response under large deformation. Furthermore, the mechanical properties of the battery components were determined based on tensile and compression tests. Then the finite element (FE) model of the battery was developed. It has been shown that the theoretical results and FE results of the displacement responses and velocity responses of the battery were in good agreement. The larger the initial velocity of the battery under impact loading, the larger the effect of axial force effect on the dynamic response. The maximum deflection of the battery increases approximately linearly with initial velocity, and the actual response time shows saturation. The maximum deflection of the battery increases with the decrease of the ratio of casing yield strength to core yield strength. The effect of yield strength is significant under thin battery casings. The maximum deflection of the battery decreases with the increase of the casing thickness. Under high yield strength ratio, the effect of casing thickness is significant. The research can provide technical support for the failure prediction and structural safety design of the battery.
- lithium-ion battery /
- dynamic response /
- large deformation /
- impact loading /
- membrane factor method

HTML全文

图 1 冲击载荷下圆柱形锂离子电池的力学模型

Figure 1. Mechanical model of cylindrical lithium-ion battery under impact loading

下载: 全尺寸图片幻灯片

图 2 不同塑性中面下电池截面的应力分布

Figure 2. Stress distribution along the cross-section of the battery with the plastic neutral surface at various locations

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图 3 电池的结构

Figure 3. Structure of the battery

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图 4 电池外壳的拉伸和内芯的压缩试验

Figure 4. Tension test of the casing and compression test of the inner core for the battery

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图 5 电池内芯和外壳的应力应变曲线

Figure 5. Stress-strain curves for core and casing of the battery

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图 6 电池夹层梁模型的轴力-弯矩屈服面

Figure 6. Axial force-moment yield surface for the sandwich beam model of the battery

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图 7 有限元建模及模拟结果

Figure 7. Finite element modeling and simulated results

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图 8 理论计算结果和有限元模拟结果的对比

Figure 8. Comparison of theoretical and finite element results

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图 9 初始速度对电池动态响应的影响

Figure 9. Effect of initial velocity on the dynamic responses of the battery

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图 10 电池质量m和参数k₁和k₂对无量纲最大挠度的影响

Figure 10. Effects of mass and parameters k₁ and k₂ of the battery on dimensionless maximum deflection

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表 1 有限元模型材料参数

Table 1. Material parameters of the finite element model

构件	厚度/mm	密度/(kg·m⁻³)	杨氏模量	剪切模量	屈服强度/MPa	泊松比
内芯	8.75	2 090	E_r = 0.5 GPa E_a = 1.5 GPa^[22]	G_r = 0.217 GPa^[21] G_a = 0.3 GPa^[21]		μ_r = 0.15^[16] μ_ra = 0.1^[21] μ_ar = 0.3^[21]
外壳	0.25	7 850	160 GPa		235	0.3^[7]

下载: 导出CSV

参考文献(22)

[1]	董思捷, 张新春, 汪玉林, 等. 不同挤压载荷下圆柱形锂离子电池的失效机理试验研究 [J]. 中国机械工程, 2022, 33(8): 915–920,951. DOI: 10.3969/j.issn.1004-132X.2022.08.005. DONG S J, ZHANG X C, WANG Y L, et al. Experimental study of failure mechanism of cylindrical lithium-ion batteries under different compression loadings [J]. China Mechanical Engineering, 2022, 33(8): 915–920,951. DOI: 10.3969/j.issn.1004-132X.2022.08.005.
[2]	XU J, LIU B H, HU D Y. State of charge dependent mechanical integrity behavior of 18650 lithium-ion batteries [J]. Scientific Reports, 2016, 6: 21829. DOI: 10.1038/srep21829.
[3]	WANG W W, YANG S, LIN C. Clay-like mechanical properties for the jellyroll of cylindrical lithium-ion cells [J]. Applied Energy, 2017, 196: 249–258. DOI: 10.1016/j.apenergy.2017.01.062.
[4]	SAHRAEI E, CAMPBELL J, WIERZBICKI T. Modeling and short circuit detection of 18650 Li-ion cells under mechanical abuse conditions [J]. Journal of Power Sources, 2012, 220: 360–372. DOI: 10.1016/j.jpowsour.2012.07.057.
[5]	GILAKI M, AVDEEV I. Impact modeling of cylindrical lithium-ion battery cells: a heterogeneous approach [J]. Journal of Power Sources, 2016, 328: 443–451. DOI: 10.1016/j.jpowsour.2016.08.034.
[6]	ZHANG H J, ZHOU M Z, Hu L L, et al. Mechanism of the dynamic behaviors and failure analysis of lithium-ion batteries under crushing based on stress wave theory [J]. Engineering Failure Analysis, 2020, 108: 104290. DOI: 10.1016/j.engfailanal.2019.104290.
[7]	ZHANG X C, ZHANG T, LIU N N, et al. Dynamic crushing behaviors and failure of cylindrical lithium-ion batteries subjected to impact loading [J]. Engineering Failure Analysis, 2023, 154: 107653. DOI: 10.1016/j.engfailanal.2023.107653.
[8]	ZHU J E, LUO H L, LI W, et al. Mechanism of strengthening of battery resistance under dynamic loading [J]. International Journal of Impact Engineering, 2019, 131: 78–84. DOI: 10.1016/j.ijimpeng.2019.05.003.
[9]	WANG L B, LI J P, CHEN J Y, et al. Revealing the internal short circuit mechanisms in lithium-ion batteries upon dynamic loading based on multiphysics simulation [J]. Applied Energy, 2023, 351: 121790. DOI: 10.1016/j.apenergy.2023.121790.
[10]	ZHOU D, LI H G, LI Z H, et al. Toward the performance evolution of lithium-ion battery upon impact loading [J]. Electrochimica Acta, 2022, 432: 141192. DOI: 10.1016/j.electacta.2022.141192.
[11]	陈发良, 余同希. 正多边形板的塑性动力响应: 小挠度分析和大挠度分析 [J]. 爆炸与冲击, 1991, 11(2): 106–116. DOI: 10.11883/1001-1455(1991)02-0106-11. CHEN F L, YU T X. Dynamic plastic response of regular polygonal plates [J]. Explosion and Shock Waves, 1991, 11(2): 106–116. DOI: 10.11883/1001-1455(1991)02-0106-11.
[12]	CHEN F L, YU T X. Analysis of large deflection dynamic response of rigid-plastic beams [J]. Journal of Engineering Mechanics, 1993, 119(6): 1293–1301. DOI: 10.1061/(ASCE)0733-9399(1993)119:6(1293).
[13]	QIN Q H, WANG T J. A theoretical analysis of the dynamic response of metallic sandwich beam under impulsive loading [J]. European Journal of Mechanics-A/Solids, 2009, 28(5): 1014–1025. DOI: 10.1016/j.euromechsol.2009.04.002.
[14]	XIANG C P, QIN Q H, WANG M S, et al. Low-velocity impact response of sandwich beams with a metal foam core: Experimental and theoretical investigations [J]. International Journal of Impact Engineering, 2019, 130: 172–183. DOI: 10.1016/j.ijimpeng.2019.04.014.
[15]	谌勇, 唐平, 汪玉, 等. 刚塑性圆板受水下爆炸载荷时的动力响应 [J]. 爆炸与冲击, 2005, 25(1): 90–96. DOI: 10.11883/1001-1455(2005)01-0090-07. CHEN Y, TANG P, WANG Y, et al. Dynamic response analysis of rigid-plastic circular plate under underwater blast loading [J]. Explosion and Shock Waves, 2005, 25(1): 90–96. DOI: 10.11883/1001-1455(2005)01-0090-07.
[16]	张新春, 王俊瑜, 汪玉林, 等. 基于膜力因子法的方形锂离子电池冲击动力响应研究 [J]. 应用数学和力学, 2022, 43(11): 1203–1213. DOI: 10.21656/1000-0887.430289. ZHANG X C, WANG J Y, WANG Y L, et al. Impact responses of prismatic lithium-ion battery based on the membrane factor method [J]. Applied Mathematics and Mechanics, 2022, 43(11): 1203–1213. DOI: 10.21656/1000-0887.430289.
[17]	ZHANG X C, HUANG Z X, WANG Y L, et al. Dynamic responses of cylindrical lithium-ion battery under localized impact loading [J]. Mechanics of Advanced Materials and Structures, 2024. DOI: 10.1080/15376494.2024.2359648.
[18]	YU T X, STRONGE W J. Large deflections of a rigid-plastic beam-on-foundation from impact [J]. International Journal of Impact Engineering, 1990, 9(1): 115–126. DOI: 10.1016/0734-743X(90)90025-Q.
[19]	XIA Y, WIERZBICKI T, SAHRAEI E, et al. Damage of cells and battery packs due to ground impact [J]. Journal of Power Sources, 2014, 267: 78–97. DOI: 10.1016/j.jpowsour.2014.05.078.
[20]	JIANG W Z, LIU Y, WANG B. Dynamic responses of metal sandwich beams under high velocity impact considering time inhomogeneity of core deformation [J]. International Journal of Impact Engineering, 2017, 110: 311–323. DOI: 10.1016/j.ijimpeng.2017.05.010.
[21]	XU J, LIU B H, WANG X Y, et al. Computational model of 18650 lithium-ion battery with coupled strain rate and SOC dependencies [J]. Applied Energy, 2016, 172: 180–189. DOI: 10.1016/j.apenergy.2016.03.108.
[22]	WANG L B, CHEN J Y, LI J P, et al. A novel anisotropic model for multi-stage failure threshold of lithium-ion battery subjected to impact loading [J]. International Journal of Mechanical Sciences, 2022, 236: 107757. DOI: 10.1016/j.ijmecsci.2022.107757.