Parameter Optimization of the Corrugated Whipple Protective Structure under Hypervelocity Impact

GUO Jia’ao; YANG Qiuzu; LIU Xiaochuan; YIN Yunfei; LI Zhiqiang

doi:10.11858/gywlxb.20251276

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Chinese Journal of High Pressure Physics > 2026 > Corrected proof

GUO Jia’ao, YANG Qiuzu, LIU Xiaochuan, YIN Yunfei, LI Zhiqiang. Parameter Optimization of the Corrugated Whipple Protective Structure under Hypervelocity Impact[J]. Chinese Journal of High Pressure Physics. doi: 10.11858/gywlxb.20251276

Citation:

GUO Jia’ao, YANG Qiuzu, LIU Xiaochuan, YIN Yunfei, LI Zhiqiang. Parameter Optimization of the Corrugated Whipple Protective Structure under Hypervelocity Impact[J]. Chinese Journal of High Pressure Physics. doi: 10.11858/gywlxb.20251276

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Parameter Optimization of the Corrugated Whipple Protective Structure under Hypervelocity Impact

doi: 10.11858/gywlxb.20251276

GUO Jia’ao^1
,,
YANG Qiuzu^{1,*
,
,},
LIU Xiaochuan²,
YIN Yunfei¹,
LI Zhiqiang^{1, 3, 4, 5}

1.
College of Aeronautics and Astronautics, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China
2.
Aircraft Strength Research Institute of China, Xi’an 710065, Shaanxi, China
3.
Shanxi Provincial Key Laboratory of Material Strength & Structural Impact, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China
4.
Shanxi Basic Disciplines Research Center for Mechanics, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China
5.
National Experimental Teaching Demonstration Center for Mechanics, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China

Received Date: 09 Dec 2025
Rev Recd Date: 30 Jan 2026

Available Online: 12 Feb 2026

Abstract

Abstract

The geometric configuration of the corrugated Whipple protective structure significantly influences their protective capability against hypervelocity impact. To optimize the performance of the corrugated Whipple protective structures under hypervelocity impact, an integrated optimization method combining the finite element method-smoothed particle hydrodynamics (FEM-SPH) coupled algorithm with orthogonal experimental design was proposed. A reliable numerical simulation model was constructed, and the z-axis momentum density was introduced as an evaluation factor for protective performance. The three geometric parameters of the corrugation, namely thickness, span, and angle, were systematically investigated for their protective effects on the shielding. Orthogonal test results indicated that the order of influence of these factors, in descending order of magnitude, is thickness, angle, and span. Further double-factor refined tests were conducted, and a quadratic polynomial model was developed to identify the optimal geometric parameters. The optimal configuration improved the protective performance by 33.72% compared to a flat plate. The study confirms that the optimized corrugated structure effectively promotes projectile fragmentation and debris cloud dispersion, facilitating three-dimensional redistribution of the momentum, thereby significantly enhancing protective performance of the shield. This research provides a theoretical basis and a parameter optimization pathway to the design of spacecraft protective structures.

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References(37)

References

[1]	吴树范, 王伟, 温济帆, 等. 低轨互联网星座发展研究 [J]. 北京航空航天大学学报, 2024, 50(1): 1–11. doi: 10.13700/j.bh.1001-5965.2022.0242 WU S F, WANG W, WEN J F, et al. Review on development of LEO internet constellation [J]. Journal of Beijing University of Aeronautics and Astronautics, 2024, 50(1): 1–11. doi: 10.13700/j.bh.1001-5965.2022.0242
[2]	郭甲, 庞兆君, 岳帅, 等. 空间绳系组合体的继电型控制离轨策略 [J]. 航空学报, 2021, 42(12): 324738. doi: 10.7527/S1000-6893.2020.24738 GUO J, PANG Z J, YUE S, et al. De-orbit strategy using Bang-Bang control for space tethered-combination [J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(12): 324738. doi: 10.7527/S1000-6893.2020.24738
[3]	李梦生, 岳帅, 杜忠华, 等. 空间长方形绳网展开动力学及多参数特性分析 [J]. 北京航空航天大学学报, 2024, 50(3): 994–1004. doi: 10.13700/j.bh.1001-5965.2022.0342 LI M S, YUE S, DU Z H, et al. Deployment dynamics and multi-parameter performances analysis of spatial rectangular tether-net [J]. Journal of Beijing University of Aeronautics and Astronautics, 2024, 50(3): 994–1004. doi: 10.13700/j.bh.1001-5965.2022.0342
[4]	陈鹏旭, 吴晨晨, 倪智宇. 空间飞网系统动力学建模与仿真 [J]. 北京航空航天大学学报, 2024, 50(9): 2951–2962. doi: 10.13700/j.bh.1001-5965.2022.0747 CHEN P X, WU C C, NI Z Y. Dynamic modelling and simulation of a tethered-net in space [J]. Journal of Beijing University of Aeronautics and Astronautics, 2024, 50(9): 2951–2962. doi: 10.13700/j.bh.1001-5965.2022.0747
[5]	ZHAO W, PANG Z J, ZHAO Z, et al. A simulation and an experimental study of space harpoon low-velocity impact, anchored debris [J]. Materials, 2022, 15(14): 5041. doi: 10.3390/ma15145041
[6]	张品亮, 龚自正, 杨武霖, 等. 激光移除空间碎片过程的三维仿真与建模 [J]. 宇航学报, 2017, 38(3): 323–330. doi: 10.3873/j.issn.1000-1328.2017.03.014 ZHANG P L, GONG Z Z, YANG W L, et al. Three-dimensional simulation and modeling on removing orbital debris with lasers [J]. Journal of Astronautics, 2017, 38(3): 323–330. doi: 10.3873/j.issn.1000-1328.2017.03.014
[7]	WHIPPLE F L. Meteorites and space travel [J]. Astronomical Journal, 1947, 52: 131. doi: 10.1086/106009
[8]	COUR-PALAIS B G, CREWS J L. A multi-shock concept for spacecraft shielding [J]. International Journal of Impact Engineering, 1990, 10(1): 135–146. doi: 10.1016/0734-743X(90)90054-Y
[9]	NAM Y W, SATHISH KUMAR S K, ANKEM V A, et al. Multi-functional aramid/epoxy composite for stealth space hypervelocity impact shielding system [J]. Composite Structures, 2018, 193: 113–120. doi: 10.1016/j.compstruct.2018.03.046
[10]	CHRISTIANSEN E L, CREWS J L, WILLIAMSEN J E, et al. Enhanced meteoroid and orbital debris shielding [J]. International Journal of Impact Engineering, 1995, 17(1): 217–228. doi: 10.1016/0734-743X(95)99848-L
[11]	KE F W, HUANG J, WEN X Z, et al. Test study on the performance of shielding configuration with stuffed layer under hypervelocity impact [J]. Acta Astronautica, 2016, 127: 553–560. doi: 10.1016/j.actaastro.2016.06.037
[12]	CHRISTIANSEN E L, KERR J H. Mesh double-bumper shield: a low-weight alternative for spacecraft meteoroid and orbital debris protection [J]. International Journal of Impact Engineering, 1993, 14(1): 169–180. doi: 10.1016/0734-743X(93)90018-3
[13]	管公顺, 陈礼文, 王少恒, 等. 不锈钢网/铝板多冲击防护屏高速撞击防护性能实验研究 [J]. 高压物理学报, 2012, 26(2): 127–134. doi: 10.11858/gywlxb.2012.02.002 GUAN G S, CHEN L W, WANG S H, et al. Experimental investigation on resist capability of stainless steel mesh/Al multi-shock shield by high-velocity impact [J]. Chinese Journal of High Pressure Physics, 2012, 26(2): 127–134. doi: 10.11858/gywlxb.2012.02.002
[14]	SATHISH KUMAR S K, KIM Y, CHA J H, et al. Hybrid interspaced and free-boundary aramid fabric back bumper for hypervelocity impact shielding system [J]. International Journal of Impact Engineering, 2023, 171: 104377. doi: 10.1016/j.ijimpeng.2022.104377
[15]	BALUCH A H, PARK Y, KIM C G. Hypervelocity impact on carbon/epoxy composites in low Earth orbit environment [J]. Composite Structures, 2013, 96: 554–560. doi: 10.1016/j.compstruct.2012.09.010
[16]	GIANNAROS E, KOTZAKOLIOS A, KOSTOPOULOS V, et al. Hypervelocity impact response of CFRP laminates using smoothed particle hydrodynamics method: implementation and validation [J]. International Journal of Impact Engineering, 2019, 123: 56–69. doi: 10.1016/j.ijimpeng.2018.09.016
[17]	ROGERS J A, MOTE A, MEAD P T, et al. Hypervelocity impact response of monolithic UHMWPE and HDPE plates [J]. International Journal of Impact Engineering, 2022, 161: 104081. doi: 10.1016/j.ijimpeng.2021.104081
[18]	CHERNIAEV A. Modeling of hypervelocity impact on open cell foam core sandwich panels [J]. International Journal of Impact Engineering, 2021, 155: 103901. doi: 10.1016/j.ijimpeng.2021.103901
[19]	PAI A, SHARMA A, EBY I M, et al. A numerical approach for response of Whipple shields with coated and monolithic front bumper to hypervelocity impact by spherical projectiles [J]. Acta Astronautica, 2023, 202: 433–441. doi: 10.1016/j.actaastro.2022.10.041
[20]	管公顺, 戴训洋, 张铎. 玄武岩纤维布/铝板组合防护结构的高速撞击防护性能 [J]. 高压物理学报, 2022, 36(1): 014102. doi: 10.11858/gywlxb.20210806 GUAN G S, DAI X Y, ZHANG D. High velocity impact shielding performance of basalt fiber cloth/Al-plate composite shields [J]. Chinese Journal of High Pressure Physics, 2022, 36(1): 014102. doi: 10.11858/gywlxb.20210806
[21]	张宝玺, 哈跃, 邓云飞, 等. 超高速撞击Kevlar纤维布填充防护结构研究 [J]. 高压物理学报, 2013, 27(1): 105–112. doi: 10.11858/gywlxb.2013.01.015 ZHANG B X, HA Y, DENG Y F, et al. Optimal structural design of stuffed shields with Kevlar fiber clothes against hypervelocity impact [J]. Chinese Journal of High Pressure Physics, 2013, 27(1): 105–112. doi: 10.11858/gywlxb.2013.01.015
[22]	RAKIB M A, SMITH S T, TAFSIROJJAMAN T. A review of shielding systems for protecting off-Earth structures from micrometeoroid and orbital debris impact [J]. Acta Astronautica, 2024, 223: 404–425. doi: 10.1016/j.actaastro.2024.07.019
[23]	WEN K, CHEN X W, LU Y G. Research and development on hypervelocity impact protection using Whipple shield: an overview [J]. Defence Technology, 2021, 17(6): 1864–1886. doi: 10.1016/j.dt.2020.11.005
[24]	REN S Y, ZHANG P L, WU Q, et al. Review of bumper materials for spacecraft shield against orbital debris hypervelocity impact [J]. Defence Technology, 2025, 45: 137–177. doi: 10.1016/j.dt.2024.09.002
[25]	MACLAY T D, CULP R D, BAREISS L, et al. Topographically modified bumper concepts for spacecraft shielding [J]. International Journal of Impact Engineering, 1993, 14(1): 479–489. doi: 10.1016/0734-743X(93)90044-8
[26]	SILNIKOV M, GUK I, MIKHAYLIN A, et al. Efficiency of needle structure at hypervelocity impact [J]. Acta Astronautica, 2018, 150: 73–80. doi: 10.1016/j.actaastro.2017.10.026
[27]	ÖNDER A. Projectile fragmentation and debris cloud formation behaviour of wavy plates in hypervelocity impact [J]. International Journal of Impact Engineering, 2024, 183: 104788. doi: 10.1016/j.ijimpeng.2023.104788
[28]	DOU L L, HE L L, YIN Y H. Numerical investigation on protective mechanism of metal cover plate for alumina armor against impact of fragment by FE-converting-SPH method [J]. Materials, 2023, 16(9): 3405. doi: 10.3390/ma16093405
[29]	YANG Y L, LI J Z. SPH-FE-based numerical simulation on dynamic characteristics of structure under water waves [J]. Journal of Marine Science and Engineering, 2020, 8(9): 630. doi: 10.3390/jmse8090630
[30]	赵微, 陈利, 张庆明, 等. 水滴超高速撞击Whipple防护结构的毁伤特性 [J]. 高压物理学报, 2022, 36(4): 044103. doi: 10.11858/gywlxb.20220515 ZHAO W, CHEN L, ZHANG Q M, et al. Damage characteristics of Whipple protective structure impacted by water droplets at hypervelocity [J]. Chinese Journal of High Pressure Physics, 2022, 36(4): 044103. doi: 10.11858/gywlxb.20220515
[31]	杨玉好, 郭香华, 张庆明. 动能块超高速碰撞多层防护结构的毁伤特性数值模拟 [J]. 高压物理学报, 2022, 36(4): 044204. doi: 10.11858/gywlxb.20220533 YANG Y H, GUO X H, ZHANG Q M. Numerical simulation of damage characteristics of multi-layer protective structure under hypervelocity impact of kinetic energy block [J]. Chinese Journal of High Pressure Physics, 2022, 36(4): 044204. doi: 10.11858/gywlxb.20220533
[32]	HE Q G, CHEN J F, CHEN X W. Velocity-space analysis method for hazardous fragments in debris clouds [J]. International Journal of Impact Engineering, 2022, 161: 104087. doi: 10.1016/j.ijimpeng.2021.104087
[33]	JOHNSON G R, COOK W H. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures [J]. Engineering Fracture Mechanics, 1985, 21(1): 31–48. doi: 10.1016/0013-7944(85)90052-9
[34]	PIEKUTOWSKI A J. Debris clouds generated by hypervelocity impact of cylindrical projectiles with thin aluminum plates [J]. International Journal of Impact Engineering, 1987, 5(1): 509–518. doi: 10.1016/0734-743X(87)90066-2
[35]	PELTON J N. US government and NASA documents related to orbital space debris mitigation [M]//PELTON J N, MADRY S. Handbook of Small Satellites: Technology, Design, Manufacture, Applications, Economics and Regulation. Cham: Springer, 2020: 1−9.
[36]	HE Q G, CHEN X W, CHEN J F. Finite element-smoothed particle hydrodynamics adaptive method in simulating debris cloud [J]. Acta Astronautica, 2020, 175: 99–117. doi: 10.1016/j.actaastro.2020.05.056
[37]	ARNOLD J, CHRISTIANSEN E L, DAVIS A, et al. Handbook for designing MMOD protection, version A: JSC-64399 [R]. Houston: Johnson Space Center, 2009.

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Parameter Optimization of the Corrugated Whipple Protective Structure under Hypervelocity Impact

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