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Tensile-compressive modes and vibration characteristics of penetrating projectile
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Baihan CHEN1, Kehui WANG2, Gang ZHOU2, Huihui ZOU2, Shengwei ZHAO2
Explosion and Shock Waves | 2026, 46(9) : 093302-1 - 093302-21
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Explosion and Shock Waves | 2026, 46(9): 093302-1-093302-21
• Impact Dynamics •
Tensile-compressive modes and vibration characteristics of penetrating projectile
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Baihan CHEN1, Kehui WANG2, Gang ZHOU2, Huihui ZOU2, Shengwei ZHAO2
Affiliations
  • 1Department of Engineering Physics, Tsinghua University, Beijing 100084, China
  • 2Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi, China
Published: 2026-09-05 doi: 10.11883/bzycj-2025-0235
Outline
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Projectile’s structural vibration during high-speed penetration of hard targets is an important factor causing mixed overload signals and charge’s localized-deformation magnification issues, which restricts the destructive capability of projectiles. To accurately characterize the elastic vibration characteristics of the penetrating projectile, a refined theoretical modal modeling method for the projectile was derived based on the theories of variable cross-section rods. Furthermore, two 30-kg mass projectiles with the same mass and outline but different internal cavity structures were manufactured, together with an even hollow cylindrical bar with the same mass and outer diameter. Using these three structures as examples, theory test and simulation mode analyses were conducted to explore the modal features of the projectile from the perspectives of characteristic frequencies and their corresponding low-order tensile-compressive modes. The structural similarities and differences between projectile and even bar were compared, and the influence of charges on projectile modes was explored. Eventually, the vibration characteristics of the projectile penetrating semi-infinite and multi-layer concrete targets were deduced with the introduction of projectile’s modal characteristics measured separately. Research has shown that the Mindlin-Herrmann rod models have derived similar modal characteristic compared with simulation and test results, while the even bar model shows larger discrepancies. In weak load environments, the charge increases the structural damping, and the higher the modal order of the projectile, the weaker the coupling relationship between the projectile and the charge. However, the applicability of this conclusion in harsh load environments still needs to be explored. The low-order tensile-compressive modes dominate the vibration characteristics of the penetrating projectile, and the deformation and overload distribution are mostly affected by the first-order tensile-compressive mode, while the high-order modes supplement the vibration of the projectile. Benefiting from the variable cross-section effect, projectiles with short and concentrated inner cavities have better anti-vibration characteristics during ideal penetration. Projectile’s vibration characteristics obtained through modal analysis provides more reliable guidance for the design of the projectile-fuse-charge system.

hard target penetration  /  projectile structural response  /  modal analysis  /  vibration characteristics  /  damping
陈柏翰, 王可慧, 周刚, 邹慧辉, 赵生伟. 侵彻弹体的拉压模态与振动特性. 爆炸与冲击, 2026 , 46 (9) : 093302-1 -093302-21 . DOI: 10.11883/bzycj-2025-0235
Baihan CHEN, Kehui WANG, Gang ZHOU, Huihui ZOU, Shengwei ZHAO. Tensile-compressive modes and vibration characteristics of penetrating projectile[J]. Explosion and Shock Waves, 2026 , 46 (9) : 093302-1 -093302-21 . DOI: 10.11883/bzycj-2025-0235
Year 2026 volume 46 Issue 9
139
66
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Article Info
doi: 10.11883/bzycj-2025-0235
  • Receive Date:2025-07-24
  • Online Date:2026-10-10
  • Published:2026-09-05
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  • Received:2025-07-24
  • Revised:2026-04-01
Affiliations
    1Department of Engineering Physics, Tsinghua University, Beijing 100084, China
    2Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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