高速冲击载荷下考虑乘员安全的均质梁动态响应

张杜江; 赵振宇; 张智扬; 高辉遥; 卢天健

doi:10.21656/1000-0887.450325

高速冲击载荷下考虑乘员安全的均质梁动态响应

doi: 10.21656/1000-0887.450325

张杜江^1,,
赵振宇^{2, 3},
张智扬^{2, 3},
高辉遥^{2, 3},
卢天健^{2, 3, ,}

1.
中国航发四川燃气涡轮研究院，成都 610500
2.
南京航空航天大学航空航天结构力学及控制全国重点实验室，南京 210016
3.
南京航空航天大学多功能轻量化材料与结构工业和信息化部重点实验室，南京 210016

基金项目:

国家自然科学基金 11972185

国家自然科学基金 12002156

详细信息

作者简介:
张杜江(1995—)，男，工程师，博士(E-mail: djzhang@nuaa.edu.cn)

通讯作者:
卢天健(1964—)，男，教授，博士，博士生导师(通讯作者. E-mail: tjlu@nuaa.edu.cn)

中图分类号: O347.1
计量
- 文章访问数: 82
- HTML全文浏览量: 24
- PDF下载量: 24
- 被引次数: 0
出版历程
- 收稿日期: 2024-12-09
- 修回日期: 2024-12-30
- 刊出日期: 2025-03-01

Dynamic Responses of a Monolithic Beam Subjected to High-Velocity Impact Loading, With Occupant Safety Considered

ZHANG Dujiang^1
,,
ZHAO Zhenyu^{2, 3},
ZHANG Zhiyang^{2, 3},
GAO Huiyao^{2, 3},
LU Tianjian^{2, 3
, ,}

1.
AECC Sichuan Gas Turbine Establishment, Chengdu 610500, P.R.China
2.
State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China
3.
MIIT Key Laboratory of Multifunctional Lightweight Materials and Structures (MLMS), Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China

摘要

摘要: 为了提升装甲车防护结构抗爆性能，保障乘员生命安全，开展了高速冲击载荷下考虑乘员安全的均质梁动态响应研究.首先，基于泡沫铝弹丸冲击均质梁-弹簧-质量块样件实验工装，测量了不同冲击速度下的质量块位移随时间变化曲线；然后，建立了相应的数值模型进行仿真计算，并开展理论计算，当泡沫铝弹丸速度较高时，仿真、实验与理论结果吻合较好；最后，基于验证的数值仿真方法，系统讨论了泡沫铝弹丸冲击速度、质量块质量、弹簧刚度和阻尼系数对质量块峰值位移、峰值加速度的影响.结果表明：随着泡沫铝弹丸速度增大，质量块峰值位移、峰值加速度都增大；质量块峰值位移对质量块质量、弹簧刚度变化不敏感；质量块峰值加速度随其质量增加而降低，随弹簧刚度、阻尼系数增加而增加.研究结果验证了理论和仿真方法的正确性，为使用理论、仿真方法快速设计高速冲击载荷下的高性能防护结构提供了支撑.
- 冲击 /
- 乘员安全 /
- 质量-弹簧-阻尼系统 /
- 动态响应
Abstract: To improve the protective structure design of armored vehicles against intensive blast loadings and ensure the safety of occupants, the dynamic responses of a monolithic beam subjected to impact loading, with occupant safety considered, was studied. First, experiments were carried out to characterize the dynamic performances of the monolithic beam attached with a mass-spring-damping system subjected to foam projectile impact. Then, the numerical simulations and theoretical analysis were conducted. At a relatively high foam projectile velocity, there is good agreement between numerical, experimental and theoretical results. The effects of the foam projectile velocity, the block mass, the spring stiffness, and the damping coefficient on the peak displacements and accelerations of the mass block were discussed by means of the numerical model. The results show that, the peak displacements and accelerations of the mass block increase with the foam projectile velocity. The block mass and the spring stiffness have little effect on the peak displacements and accelerations of the mass block. The peak accelerations of the mass block decrease with the block mass, but increase with the spring stiffness and the damping coefficient. The theoretical and numerical methods have verified correctness, providing a support for the rapid design of high-performance protective structures against intensive impact loads.
- impact /
- occupant safety /
- mass-spring-damping system /
- dynamic response

HTML全文

图 1 泡沫铝弹丸冲击均质梁-质量-弹簧-阻尼系统示意图

Figure 1. Schematic of the monolithic beam-mass-spring-damping system subjected to foam projectile impact

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图 2 均质梁-弹簧-质量块样件制备过程示意图

Figure 2. Fabrication procedures of the monolithic beam-mass-spring sample

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图 3 一级轻气炮冲击实验设备

Figure 3. Schematic of the overall impact testing setup

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图 4 测试舱内的试样及工装夹具

Figure 4. Schematic of the beam specimen fixed in the test cabin

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图 5 泡沫铝弹丸工程应力和能量吸收率随工程应变变化曲线

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 5. Engineering stress and energy absorption efficiency vs. engineering strain curves of the foam projectile

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图 6 有限元模型示意图

Figure 6. The finite element model

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图 7 均质梁中点残余挠度、计算时间随网格尺寸变化曲线

Figure 7. The midpoint residual deflection of the monolithic beam and the computing time vs. the mesh size

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图 8 浅埋爆炸载荷下均质梁-质量-弹簧-阻尼系统示意图^[16]

Figure 8. The monolithic beam-mass-spring-damping system subjected to a shallow-buried explosion^[16]

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图 9 w₁/L随v₀变化曲线

Figure 9. The w₁/L vs. v₀ curves

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图 10 均质梁等效塑性应变(v₀=75 m/s)

Figure 10. The equivalent plastic strains of the monolithic beam for v₀=75 m/s

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图 11 w₂/L随v₀变化曲线

Figure 11. The w₂/L vs. v₀ curves

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图 12 质量块位移-时间变化曲线(v₀=95.5 m/s)

Figure 12. Displacements of the mass block vs. the time for v₀=95.5 m/s

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图 13 t=20 ms时，均质梁的变形图

Figure 13. The deformation shape of the monolithic beam for t=20 ms

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图 14 v₀和m对质量块峰值位移的影响

Figure 14. The effects of v₀ and m on peak displacements of the mass

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图 15 v₀和m对质量块峰值加速度的影响

Figure 15. The effects of v₀ and m on peak accelerations of the mass

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图 16 弹簧刚度k对质量块峰值位移的影响

Figure 16. The peak displacements of the mass vs. k

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图 17 弹簧刚度k对质量块峰值加速度的影响

Figure 17. The peak accelerations of the mass vs. k

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图 18 阻尼系数c对质量块峰值位移的影响

Figure 18. The effects of c on the peak displacement of the mass

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图 19 阻尼系数c对质量块峰值加速度的影响

Figure 19. The effects of c on the peak acceleration of the mass

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表 1 J-C本构模型材料参数

Table 1. The Johnson-Cook constitutive model parameters

material	E/GPa	ν	ρ/(kg/m³)	A/MPa	B/MPa	n	C	m	$ \dot{\varepsilon}_0 / \mathrm{s}^{-1}$	T_tr/K	T_M/K
304 stainless-steel^[33]	193	0.3	7 800	310	1 000	0.65	0.034	1.05	0.001	293	1 800

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表 2 实验、仿真、理论结果对比

Table 2. Comparison of experimental, simulation and theoretical results

№.	v₀/(m/s)	w₁/mm				w₂/mm
№.	v₀/(m/s)	experiment	simulation	theory^[16]	theory^[34]	experiment	simulation	theory^[16]
1	75.0	11.4	9.5	6.1	7.6	11.0	9.5	6.1
2	95.5	12.8	11.8	9.1	10.2	10.4	11.8	9.1
3	151.9	20.3	18.9	21.4	21.5	13.8	18.9	21.4

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参考文献(34)

[1]	DEY S, BØRVIK T, HOPPERSTAD O S, et al. The effect of target strength on the perforation of steel plates using three different projectile nose shapes[J]. International Journal of Impact Engineering, 2004, 30(8/9): 1005-1038. http://www.sciencedirect.com/science/article/pii/S0734743X04000971
[2]	ZHANG X L, ZHOU Y B, WANG X H, et al. Modelling and analysis of the vehicle underbody and the occupants subjected to a shallow-buried-mine blast impulse[J]. Proceedings of the Institution of Mechanical Engineers (Part D): Journal of Automobile Engineering, 2017, 231(2): 214-224. doi: 10.1177/0954407016651353
[3]	GRUJICIC M, PANDURANGAN B, HUANG Y, et al. Impulse loading resulting from shallow buried explosives in water-saturated sand[J]. Proceedings of the Institution of Mechanical Engineers (Part L): Journal of Materials: Design and Applications, 2007, 221(1): 21-35. doi: 10.1243/14644207JMDA96
[4]	PICKERING E G, YUEN S C K, NURICK G N, et al. The response of quadrangular plates to buried charges[J]. International Journal of Impact Engineering, 2012, 49: 103-114. doi: 10.1016/j.ijimpeng.2012.05.007
[5]	JOHNSON T E, BASUDHAR A. A metamodel-based shape optimization approach for shallow-buried blast-loaded flexible underbody targets[J]. International Journal of Impact Engineering, 2015, 75: 229-240. doi: 10.1016/j.ijimpeng.2014.08.010
[6]	GOEL A, UTH T, WADLEY H N G, et al. Effect of surface properties on momentum transfer to targets impacted by high-velocity sand slugs[J]. International Journal of Impact Engineering, 2017, 103: 90-106. doi: 10.1016/j.ijimpeng.2017.01.001
[7]	KYNER A, DESHPANDE V S, WADLEY H N G. Impulse transfer during granular matter impact with inclined sliding surfaces[J]. International Journal of Impact Engineering, 2019, 130: 79-96. doi: 10.1016/j.ijimpeng.2019.04.003
[8]	RIMOLI J J, TALAMINI B, WETZEL J J, et al. Wet-sand impulse loading of metallic plates and corrugated core sandwich panels[J]. International Journal of Impact Engineering, 2011, 38(10): 837-848. doi: 10.1016/j.ijimpeng.2011.05.010
[9]	ZHANG P, CHENG Y S, LIU J, et al. Experimental and numerical investigations on laser-welded corrugated-core sandwich panels subjected to air blast loading[J]. Marine Structures, 2015, 40: 225-246. doi: 10.1016/j.marstruc.2014.11.007
[10]	CHENG M, DIONNE J P, MAKRIS A. On drop-tower test methodology for blast mitigation seat evaluation[J]. International Journal of Impact Engineering, 2010, 37(12): 1180-1187. doi: 10.1016/j.ijimpeng.2010.08.002
[11]	ZHOU Y B, ZHANG M, LUO M, et al. Research on drop tower technology for simulating explosive impact load[J]. Journal of Physics: Conference Series, 2021, 1721(1): 012019. doi: 10.1088/1742-6596/1721/1/012019
[12]	DONG Y P, LU Z H. Analysis and evaluation of an anti-shock seat with a multi-stage non-linear suspension for a tactical vehicle under a blast load[J]. Proceedings of the Institution of Mechanical Engineers (Part D): Journal of Automobile Engineering, 2012, 226(8): 1037-1047. doi: 10.1177/0954407011435199
[13]	CONG M, ZHOU Y B, ZHANG M, et al. Design and optimization of multi-V hulls of light armoured vehicles under blast loads[J]. Thin-Walled Structures, 2021, 168: 108311. doi: 10.1016/j.tws.2021.108311
[14]	WEI R, WANG X H, ZHANG M, et al. Application of dimension reduction based multi-parameter optimization for the design of blast-resistant vehicle[J]. Structural and Multidisciplinary Optimization, 2017, 56(4): 903-917. doi: 10.1007/s00158-017-1696-2
[15]	ZHANG D J, ZHAO Z Y, GAO H Y, et al. Dynamic response of sandwich panel attached with a double mass-spring-damping system to shallow-buried explosion: analytical modeling[J]. Science China: Technological Sciences, 2024, 67(2): 568-586. doi: 10.1007/s11431-023-2375-0
[16]	张杜江, 赵振宇, 褚庆国, 等. 浅埋爆炸下考虑乘员安全的防雷底板设计理论模型[J]. 应用力学学报, 2024, 41(4): 786-796. ZHANG Dujiang, ZHAO Zhenyu, CHU Qingguo, et al. Theoretical model of armored vehicle bottom plate subjected to detonation of shallow-buried explosives, with occupant safety considered[J]. Chinese Journal of Applied Mechanics, 2024, 41(4): 786-796. (in Chinese)
[17]	PENG W, ZHANG Z Y, GOGOS G, et al. Interactions between blast waves and V-shaped and cone-shaped structures[J]. AlP Conference Proceedings, 2011, 1376(1): 149-153.
[18]	ZOK F W, WALTNER S A, WEI Z, et al. A protocol for characterizing the structural performance of metallic sandwich panels: application to pyramidal truss cores[J]. International Journal of Solids and Structures, 2004, 41(22/23): 6249-6271. http://www.onacademic.com/detail/journal_1000034075110010_ba26.html
[19]	UTH T, DESHPANDE V S. Response of clamped sandwich beams subjected to high-velocity impact by sand slugs[J]. International Journal of Impact Engineering, 2014, 69: 165-181. doi: 10.1016/j.ijimpeng.2014.02.012
[20]	DHARMASENA K P, WADLEY H N G, LIU T, et al. The dynamic response of edge clamped plates loaded by spherically expanding sand shells[J]. International Journal of Impact Engineering, 2013, 62: 182-195. doi: 10.1016/j.ijimpeng.2013.06.012
[21]	WADLEY H N G, BØRVIK T, OLOVSSON L, et al. Deformation and fracture of impulsively loaded sandwich panels[J]. Journal of the Mechanics and Physics of Solids, 2013, 61(2): 674-699. doi: 10.1016/j.jmps.2012.07.007
[22]	KYNER A, DHARMASENA K, WILLIAMS K, et al. Response of square honeycomb core sandwich panels to granular matter impact[J]. International Journal of Impact Engineering, 2018, 117: 13-31. doi: 10.1016/j.ijimpeng.2018.02.009
[23]	ZHANG D J, ZHAO Z Y, DU S F, et al. Dynamic response of ultralight all-metallic sandwich panel with 3D tube cellular core to shallow-buried explosives[J]. Science China: Technological Sciences, 2021, 64(7): 1371-1388. doi: 10.1007/s11431-020-1774-1
[24]	ZHAO Z Y, ZHANG D J, CHEN W J, et al. An analytical model of blast resistance for all-metallic sandwich panels subjected to shallow-buried explosives[J]. International Journal of Mechanics and Materials in Design, 2022, 18(4): 873-892. doi: 10.1007/s10999-022-09605-w
[25]	YU B, HAN B, NI C Y, et al. Dynamic crushing of all-metallic corrugated panels filled with close-celled aluminum foams[J]. Journal of Applied Mechanics, 2015, 82(1): 011006. doi: 10.1115/1.4028995
[26]	WANG X, YU R P, ZHANG Q C, et al. Dynamic response of clamped sandwich beams with fluid-filled corrugated cores[J]. International Journal of Impact Engineering, 2020, 139: 103533. doi: 10.1016/j.ijimpeng.2020.103533
[27]	YU R P, WANG X, ZHANG Q C, et al. Effects of sand filling on the dynamic response of corrugated core sandwich beams under foam projectile impact[J]. Composites (Part B): Engineering, 2020, 197: 108135. doi: 10.1016/j.compositesb.2020.108135
[28]	LIU T, FLECK N A, WADLEY H N G, et al. The impact of sand slugs against beams and plates: coupled discrete particle/finite element simulations[J]. Journal of the Mechanics and Physics of Solids, 2013, 61(8): 1798-1821. doi: 10.1016/j.jmps.2013.03.008
[29]	樊召帅, 葛树宏, 岳增申, 等. 侧向强动冲击下冲击位置对薄壁圆柱壳动态响应的影响[J]. 应用数学和力学, 2025, 46(2): 175-186. doi: 10.21656/1000-0887.450074 FAN Zhaoshuai, GE Shuhong, YUE Zengshen, et al. Effects of impact positions on dynamic responses of thin-walled cylindrical shells under lateral shock loadings[J]. Applied Mathematics and Mechanics, 2025, 46(2): 175-186. (in Chinese) doi: 10.21656/1000-0887.450074
[30]	WILLIAMS K, FILLION-GOURDEAU F. Numerical simulation of light armoured vehicle occupant vulnerability to anti-vehicle mine blast[C]//7th International LS-DYNA Users Conference. 2002: 6-14.
[31]	MILTZ J, RAMON O. Energy absorption characteristics of polymeric foams used as cushioning materials[J]. Polymer Engineering and Science, 1990, 30(2): 129-133. doi: 10.1002/pen.760300210
[32]	毛君. 机械振动学[M]. 北京: 北京理工大学出版社, 2016. MAO Jun. Mechanical Vibration[M]. Beijing: Beijing Insititute of Technology Press, 2016. (in Chinese)
[33]	NAHSHON K, PONTIN M G, EVANS G A, et al. Dynamic shear rupture of steel plates[J]. Journal of Mechanics of Materials and Structures, 2007, 2(10): 2049-2066. doi: 10.2140/jomms.2007.2.2049
[34]	张元瑞, 朱玉东, 郑志军, 等. 泡沫子弹冲击固支单梁的耦合分析模型[J]. 力学学报, 2022, 54(8): 2161-2172. ZHANG Yuanrui, ZHU Yudong, ZHENG Zhijun, et al. A coupling analysis model of clamped monolithic beam impacted by foam projectiles[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(8): 2161-2172. (in Chinese)