Power-flow-based Particle Damping for Shock Mitigation in Pyrotechnic Separation Structures

XIAO Wangqiang, ZHANG Hao, XIE Junhu, SU Binshan

Equipment Environmental Engineering ›› 2026, Vol. 23 ›› Issue (5) : 44-52.

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Equipment Environmental Engineering ›› 2026, Vol. 23 ›› Issue (5) : 44-52. DOI: 10.7643/ issn.1672-9242.2026.05.006
Aviation and Aerospace Equipment

Power-flow-based Particle Damping for Shock Mitigation in Pyrotechnic Separation Structures

  • XIAO Wangqiang1, ZHANG Hao1, XIE Junhu2, SU Binshan2
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Abstract

The work aims to propose a power flow-directed side-cavity particle damper shock mitigation design method tailored for equipment shock environment control to address the issue where high-frequency pyrotechnic shock waves generated by explosive bolt separation in aircraft tend to propagate along structural connections to the main beam surface, thereby threatening onboard equipment safety. First, transient stress and velocity fields were obtained via explicit dynamics, enabling calculation and visualization of structural power flow. This identified the vertical walls on both sides of the upper clamp as key pathways for shock energy transmission to the main structure. Based on this, particle dampers were embedded and encapsulated within the side cavity to directly intervene in the primary energy pathway. Subsequently, the total energy dissipation was used as the evaluation metric throughout the entire shock process, and parameter optimization was performed for the particle material, particle size, and filling rate via the discrete element method. The recommended configuration was tungsten-based particles with a diameter of 2 mm and a filling rate of 90%. Ground-based separation comparison test results demonstrated: under conditions where the peak values of the shock response spectrum at input measurement point A1 remain essentially consistent, the peak value at measurement point A2 on the main beam surface within the target protection zone decreased from 570.763 g to 242.642 g, representing a reduction of 57.49%. These results demonstrate that this method can significantly reduce transmitted shock levels while ensuring input consistency, providing an explainable, designable, and verifiable engineering approach for protecting structures from explosive separation shock environments.

Key words

pyrotechnic shock / explosive bolt separation / shock response spectrum (SRS) / power flow / particle damping / discrete element simulation / energy transmission

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XIAO Wangqiang, ZHANG Hao, XIE Junhu, SU Binshan. Power-flow-based Particle Damping for Shock Mitigation in Pyrotechnic Separation Structures[J]. Equipment Environmental Engineering. 2026, 23(5): 44-52 https://doi.org/10.7643/ issn.1672-9242.2026.05.006

References

[1] NASA. Standard for Pyroshock Testing: NASA-STD- 7003B[S]. Washington: NASA, 2023.
[2] 王玉玺, 王娟, 康骁, 等. 飞行器爆炸螺栓分离冲击环境散布分析[J]. 宇航总体技术, 2022, 6(6): 38-45.
WANG Y X, WANG J, KANG X, et al.Dispersion Analysis of Aircraft Explosion Bolt Separation Impact Environment[J]. Astronautical Systems Engineering Technology, 2022, 6(6): 38-45.
[3] 全鑫, 宁薇薇, 王得旗. 爆炸分离冲击仿真分析以及冲击响应谱低频调节试验方法[J]. 环境技术, 2024, 42(1): 54-61.
QUAN X, NING W W, WANG D Q.Numerical Simulation of Explosion Separation Shock and Test Method of Low Frequency Regulation of Shock Response Spectrum[J]. Environmental Technology, 2024, 42(1): 54-61.
[4] 赵相禹, 赵春娟, 张雷, 等. 微纳卫星火工冲击载荷缓冲装置设计及验证[J]. 振动与冲击, 2023, 42(3): 187-192.
ZHAO X Y, ZHAO C J, ZHANG L, et al.Design and Verification of Pyrotechnic Impact Load Buffer Device for Micro-Nano Satellite[J]. Journal of Vibration and Shock, 2023, 42(3): 187-192.
[5] 唐科, 胡振兴, 曲展龙, 等. 典型航天火工装置降冲击技术研究[J]. 宇航总体技术, 2022, 6(5): 1-9.
TANG K, HU Z X, QU Z L, et al.Research on Shock Reduction Technology of Typical Aerospace Explosive Devices[J]. Astronautical Systems Engineering Technology, 2022, 6(5): 1-9.
[6] 冯丽娜, 李东, 田建东, 等. 低冲击剪切式膨胀管分离装置设计与分析[J]. 宇航总体技术, 2022, 6(5): 62-70.
FENG L N, LI D, TIAN J D, et al.Design and Analysis of Low Shock Expanding Tube Separation Device with Shear Mode Fracture[J]. Astronautical Systems Engineering Technology, 2022, 6(5): 62-70.
[7] 张欢, 刘海平, 刘天雄, 等. 航天器火工冲击载荷减缓设计及验证[J]. 装备环境工程, 2015, 12(3): 34-41.
ZHANG H, LIU H P, LIU T X, et al.Design and Verification of Pyrotechnic Shock Reduction Scheme of Spacecraft[J]. Equipment Environmental Engineering, 2015, 12(3): 34-41.
[8] 张欢, 刘天雄, 李长江, 等. 航天器火工冲击环境防护技术现状与应用[J]. 航天器工程, 2014, 23(2): 104-113.
ZHANG H, LIU T X, LI C J, et al.Status and Application Analysis of Spacecraft Pyroshock Protection Techniques[J]. Spacecraft Engineering, 2014, 23(2): 104-113.
[9] YOUN S H, JANG Y S, HAN J H.Development of a Three-Axis Hybrid Mesh Isolator Using the Pseudoelasticity of a Shape Memory Alloy[J]. Smart Materials and Structures, 2011, 20(7): 075017.
[10] MACE B R, SHORTER P J.Energy Flow Models from Finite Element Analysis[J]. Journal of Sound and Vibration, 2000, 233(3): 369-389.
[11] WONG W O, WANG X Q, CHENG L.Modal Power Flow Analysis of a Damaged Plate[J]. Journal of Sound and Vibration, 2009, 320(1/2): 84-100.
[12] 向玲, 郑水清, 高雪媛. 基于功率流的瞬态响应分析及能量波的可视化研究[J]. 振动与冲击, 2017, 36(14): 142-146.
XIANG L, ZHENG S Q, GAO X Y.Transient Response Analysis Based on the Power Flow and the Visualization of Energy Wave[J]. Journal of Vibration and Shock, 2017, 36(14): 142-146.
[13] 张雪冰, 饶柱石, 塔娜, 等. 变压器油箱振动功率流研究[J]. 振动与冲击, 2009, 28(5): 188-191.
ZHANG X B, RAO Z S, TA N, et al.Power Flow of Transformer Tank[J]. Journal of Vibration and Shock, 2009, 28(5): 188-191.
[14] 朱翔, 李天匀, 赵耀, 等. 基于有限元的损伤结构功率流可视化研究[J]. 机械工程学报, 2009, 45(2): 132-137.
ZHU X, LI T Y, ZHAO Y, et al.Visualization Research on the Power Flow Characteristics of Damaged Structures Based on the Finite Element Method[J]. Journal of Mechanical Engineering, 2009, 45(2): 132-137.
[15] LIU Z S, LEE H P, LU C.Structural Intensity Study of Plates under Low-Velocity Impact[J]. International Journal of Impact Engineering, 2005, 31(8): 957-975.
[16] 穆家琛, 李家旭, 徐昕炜, 等. 功率流理论在振源定位可视化中的应用[J]. 西安航空学院学报, 2025, 43(5): 26-32.
MU J C, LI J X, XU X W, et al.Application of Power-Flow Theory in Visual Localization of Vibration Sources[J]. Journal of XIAN Aeronautical University, 2025, 43(5): 26-32.
[17] 乔志, 陈美霞. 基于有限元功率流的L型板振动传递特性[J]. 舰船科学技术, 2012, 34(12): 15-18.
QIAO Z, CHEN M X.Research on Vibration Transmission Characteristic of L-Shaped Plate Based on Fem Power Flow[J]. Ship Science and Technology, 2012, 34(12): 15-18.
[18] GAVRIĆ L, PAVIĆ G.A Finite Element Method for Computation of Structural Intensity by the Normal Mode Approach[J]. Journal of Sound and Vibration, 1993, 164(1): 29-43.
[19] 张兴宇, 郭曦煜, 向玲. 基于有限元功率流的裂纹轴承座能量可视化研究[J]. 力学研究, 2021(2): 81-89.
ZHANG X Y, GUO X Y, XIANG L.Investigation on Energy Visualization of Cracked Bearing Block Based on Finite Element Power Flow[J]. International Journal of Mechanics Research, 2021(2): 81-89.
[20] 罗元易, 白兆阳, 肖望强, 等. 高铁列车地板型腔颗粒阻尼隔热防护分析及优化[J]. 合成纤维, 2025, 54(4): 54-61.
LUO Y Y, BAI Z Y, XIAO W Q, et al.Analysis and Optimization of Particle Damping Thermal Insulation Protection for Floor Cavity of High-Speed Train[J]. Synthetic Fiber in China, 2025, 54(4): 54-61.
[21] 肖望强, 黄自杰, 刘汉武, 等. 基于柔性包袋阻尼器的蜂窝芯子暴露平台降冲击研究[J]. 振动与冲击, 2024, 43(4): 96-104.
XIAO W Q, HUANG Z J, LIU H W, et al.Astudy on Impact Reduction of a Honeycomb Core Exposed Platform Based on a Flexible Bag Damper[J]. Journal of Vibration and Shock, 2024, 43(4): 96-104.
[22] 田佳彬, 黄自杰, 王娟, 等. 基于粒子阻尼器的船舶推进轴系减振研究[J]. 振动与冲击, 2022, 41(24): 97-103.
TIAN J B, HUANG Z J, WANG J, et al.A Study on Vibration Reduction of Ship Propulsion Shafting Based on a Particle Damper[J]. Journal of Vibration and Shock, 2022, 41(24): 97-103.
[23] 肖望强, 叶淑祯, 王兴民, 等. 动车组车体端墙粒子阻尼器减振的数值分析与实验研究[J]. 中国机械工程, 2021, 32(4): 481-489.
XIAO W Q, YE S Z, WANG X M, et al.Numerical Analysis and Experimental Study of Particle Dampers for Vibration Reduction of EMU End Wall Structures[J]. China Mechanical Engineering, 2021, 32(4): 481-489.
[24] 肖望强, 戴宇, 孙璟, 等. 火工分离用颗粒阻尼降冲击装置研究[J]. 宇航总体技术, 2022, 6(5): 18-25.
XIAO W Q, DAI Y, SUN J, et al.Research on Particle Damping Shock Device for Fire Separation[J]. Astronautical Systems Engineering Technology, 2022, 6(5): 18-25.
[25] 蒋延达, 张雷, 崔琦峰. 基于颗粒阻尼的太阳翼火工冲击载荷减冲装置设计及验证[J]. 强度与环境, 2025, 52(5): 37-45.
JIANG Y D, ZHANG L, CUI Q F.Design and Verification of a Particle Damping-Based Shock Mitigation Device for Pyrotechnic Shock Loads on Solar Array[J]. Structure & Environment Engineering, 2025, 52(5): 37-45.

Funding

The National Natural Science Foundation of China (U2530224)
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