非等比例缩比侵彻/贯穿相似规律研究

刘源 皮爱国 杨荷 冯吉奎 黄风雷

刘源, 皮爱国, 杨荷, 冯吉奎, 黄风雷. 非等比例缩比侵彻/贯穿相似规律研究[J]. 爆炸与冲击, 2020, 40(3): 033302. doi: 10.11883/bzycj-2019-0086
引用本文: 刘源, 皮爱国, 杨荷, 冯吉奎, 黄风雷. 非等比例缩比侵彻/贯穿相似规律研究[J]. 爆炸与冲击, 2020, 40(3): 033302. doi: 10.11883/bzycj-2019-0086
LIU Yuan, PI Aiguo, YANG He, FENG Jikui, HUANG Fenglei. Study on similarity law of non-proportionally scaled penetration/perforation test[J]. Explosion And Shock Waves, 2020, 40(3): 033302. doi: 10.11883/bzycj-2019-0086
Citation: LIU Yuan, PI Aiguo, YANG He, FENG Jikui, HUANG Fenglei. Study on similarity law of non-proportionally scaled penetration/perforation test[J]. Explosion And Shock Waves, 2020, 40(3): 033302. doi: 10.11883/bzycj-2019-0086

非等比例缩比侵彻/贯穿相似规律研究

doi: 10.11883/bzycj-2019-0086
详细信息
    作者简介:

    刘 源(1994- ),男,硕士研究生,lymoxing@163.com

    通讯作者:

    皮爱国(1977- ),男,博士,副教授,aiguo_pi@bit.edu.cn

    黄风雷(1965- ),男,博士,教授,huangfl@bit.edu.cn

  • 中图分类号: O385

Study on similarity law of non-proportionally scaled penetration/perforation test

  • 摘要: 高速侵彻弹体的弹载部件/关键元器件的生存性与可靠性考核是引战系统研制领域的热点与难点问题,受原型试验的成本限制,利用缩比弹体搭载原型引信部件开展非等比例缩比试验研究是可行途径。针对传统等比例缩比方案无法满足弹体刚体过载相似性要求的情况,研究了非等比例缩比侵彻/贯穿相似规律,提出了非等比例缩比侵彻试验设计方法。数值计算结果表明:侵彻半无限厚混凝土靶条件下,非等比例缩比弹刚体过载的脉宽、幅值均可实现与原型弹刚体过载一致的加载条件;贯穿多层薄靶的条件下,通过调节靶板布置及弹体初速等试验工况,合理设计缩比弹体结构,可使非等比例缩比试验的弹体刚体过载峰值和脉宽覆盖原型试验。通过缩比模型试验得到的刚体过载特性可以为弹体及引信部件抗过载防护设计提供可靠的参考依据。
  • 图  1  典型尖卵形侵彻弹体尺寸

    Figure  1.  Sizes of a typical ogiven projectile

    图  2  弹体SNL-00-02侵彻23 MPa混凝土时的刚体过载曲线比较

    Figure  2.  Comparison of rigid-body deceleration curves for projectiles (SNL-00-02) penetrating 23 MPa concrete

    图  3  弹径缩比系数${\lambda _D}$与弹长缩比系数${\lambda _b}$、空腔长度缩比系数${\lambda _e}$的对应关系

    Figure  3.  Corresponding relationships among the diameter scaling coefficient${\lambda _D}$, the length scaling coefficient ${\lambda _b}$and the cavity length scaling coefficient${\lambda _e}$

    图  4  弹体侵彻薄靶的偏转过程示意图

    Figure  4.  Deflection trajectory of a projectile penetrating into a thin target

    图  5  弹身长度缩比系数λb与弹径缩比系数λD、空腔长度缩比系数λe的对应取值

    Figure  5.  The corresponding range of the length reduction coefficient of projectile body λl, the diameter reduction coefficient λD and the cavity length reduction coefficient λe

    图  6  原型试验和缩比弹试验弹体侵深

    Figure  6.  Penetration depth of prototype projectile and reduced scale projectile for two types projectile

    图  7  原型试验和缩比弹试验刚体过载对比

    Figure  7.  Rigid-body decelerations of prototype projectiles and reduced scale projectiles for two types projectiles

    图  8  1 000 kg级原型弹与缩比弹侵彻10层混凝土靶板的刚体过载

    Figure  8.  Rigid-body decelerations of 1 000 kg prototype projectiles and reduced scale projectiles penetrating ten-layer concrete target

    图  9  1 000 kg级原型弹与缩比弹的有限元模型对比

    Figure  9.  Models of 1 000 kg class prototype projectile and reduced scale projectile

    图  10  缩比弹自由状态下初始形状与第12阶拉伸模态振型的位移云图对比

    Figure  10.  Tensile mode shapes of the 12th order modes of scale projectiles in free state

    图  11  弹体侵彻十层靶板1/4有限元模型

    Figure  11.  1/4 finite element model of a projectile penetrating a ten-layer target plates

    图  12  原型弹和缩比弹贯穿10层薄靶过程刚体过载时程曲线

    Figure  12.  Rigid-body deceleration curve of a prototype projectile and a scale projectile while penetrating 10 layers of thin target

    表  1  模型和原型物理量缩比因子

    Table  1.   Scaling factors of physical quantities between model and prototype

    变量量纲原型与模型参量比缩比因子
    特征尺寸Llp/lmn
    时间Ttp/tmn
    质量MMp/Mmn3
    密度ML−3ρp/ρm1
    应力ML−1T−2σp/σm1
    过载LT−2ap/am1/n
    速度LT−1Vp/Vm1
    下载: 导出CSV

    表  2  原型弹的弹靶参数

    Table  2.   Expemrimental parameters of prototype projectiles and targets

    弹型D/mmM/kgl/mmηCRHv0/(m∙s−1)ρt/(kg∙m-3)fc/MPa
    250 5002 0003.54502 42045
    3801 2002 5003.58502 42045
    下载: 导出CSV

    表  3  缩比系数表

    Table  3.   Scaling parameters of prototype projectiles

    缩比弹序号λDλMλbλe
    11.502.251.201.20
    22.004.001.301.20
    32.506.251.501.20
    43.009.001.601.20
    下载: 导出CSV

    表  4  Ⅱ型(1 000 kg级)弹原型试验及对应的缩比试验参数

    Table  4.   Prototype test and corresponding scaling test parameters of type II (1 000 kg) projectile

    原型试验缩比试验相关缩比系数
    M/kg1 20080λM=15
    l/mm2 500890λl=2.8
    D/mm380150${\lambda _D}{\rm{ = }}2.5$
    ηCRH33
    v0/(m∙s−1)850850${\lambda _{{v_0}}} = 1$
    θ0/(°)0/10/150/10/15
    H/mm300+180×9300+140×9λH=1和1.35
    z/mm3 0002 900${\lambda _z}{\rm{ = }}0.97$
    σbc/MPa4030λfc=0.75
     注:z为靶间距;σbc为靶材料抗压强度。
    下载: 导出CSV

    表  5  1 000 kg级原型弹及其缩比弹自由状态下前20阶模态频率

    Table  5.   Top 20 modal frequencies of 1 000 kg class prototype projectile and reduced scale projectile in free state

    模态序号模态频率/Hz模态序号模态频率/Hz
    原型弹缩比弹原型弹缩比弹
    7 335.671 159.2141 416.24 670.5
    8 335.671 159.2151 453.24 670.5
    9 716.722 132.5162 012.86 291.2
    10 833.992 708.3172 012.86 291.2
    11 833.992 708.3182 200.16 463.9
    121 085.93 196.4192 236.07 044.5
    131 416.24 563.3202 633.98 244.7
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-03-25
  • 修回日期:  2019-04-27
  • 刊出日期:  2020-03-01

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