不同密度弹丸对靶板的损伤仿真与评估研究

为研究不同密度弹丸对武器装备的损伤，建立弹丸侵彻多层靶板的有限元模型，对不同密度弹丸侵彻多层靶板进行仿真试验。不同于传统的宏观破口尺寸损伤表征参数，引入等效应变及等效应力幅值来精确描述靶板损伤，并提出了一种基于多元统计分析对靶板损伤进行评估的方法。计算结果表明：利用该方法所得到的评估结果与理论分析结果完全一致。这说明基于多元统计分析的靶板损伤评估方法是切实可行的，可以进一步应用于装备损伤评估与易损性研究中。     

爆炸成型弹丸侵彻靶板的数值仿真

基于LS-DYNA的动力学分析通用有限元程序,对爆炸成型弹丸形成和侵彻靶板过程进行了数值仿真。建立了数值仿真模型,利用数值模拟技术实现了弹丸的形成以及不同药型罩结构对爆炸成型弹丸形成的影响,实现了侵彻过程中弹丸的变形与靶板的破坏状况可视化,同时对仿真结果进行了分析。通过对爆炸成型弹丸侵彻靶板的数值仿真,为开展爆炸成型弹丸毁伤机理研究奠定了良好的基础。     

数值模拟金属靶抗侵彻中的网格密度影响研究

在数值模拟中,有限元网格的数量对计算结果和计算成本都有较大的影响。采用MSC.Patran建立了弹体侵彻金属靶板的计算模型,并利用MSC.Dytran对所建模型进行了计算;结合相关的理论,对不同网格密度划分的有限元模型的计算结果进行了分析,并和实验进行了对比,得到了数值模拟弹体侵彻金属装甲中靶板的最佳网格数量。当网格无因次量μ=0.10时,所得到的数值模拟结果与实际吻合得较好:当厚度方向的网格数取为12个时,文中所采用的模型能较好地模拟弹体对靶板的侵彻效果。     

不同初速弹丸对靶板的损伤仿真与评估

为了研究弹丸对武器装备的损伤,建立弹丸侵彻多层靶板的有限元模型,对不同初速弹丸侵彻多层靶板进行仿真试验,引入等效应变及等效应力参量以精确描述靶板损伤,提出一种基于多元统计分析对靶板损伤进行评估的方法。结果表明：利用该方法所得到的计算结果与理论分析结果完全一致。这说明基于多元统计分析的靶板损伤评估方法能够正确地评价仿真实验中目标靶板的战损程度,因而可以进一步应用于装备侵彻损伤评估与易损性研究中。     

球形头部弹丸侵彻运动靶板的数值模拟

为研究球形头部弹丸高速侵彻运动靶板的侵彻规律,运用LS-DYNA动力分析软件仿真研究了不同条件下球形头部弹丸对靶板的正侵彻效应,获得了运动靶板厚度、材料和弹丸着速3种参数对侵彻过程中弹丸弹道偏移、翻转角度和剩余速度的响应规律。结果表明,随着着速的提高,弹丸翻转幅度和弹道偏移量逐渐减小;随着靶板厚度的增加,弹丸正向翻转角度和轴向剩余速度显著减小,而弹道偏移量增大;3种材料运动靶板中,4340钢靶对弹丸弹道偏移、翻转角度和剩余速度的影响最大,Weldox460钢次之,LY12铝最小。     

PELE正侵穿金属薄靶轴向剩余速度近似计算与分析

运用冲击波理论,对横向效应增强型弹丸(Penetration with Enhanced Lateral Efficiency,PELE)侵穿金属靶板的机理进行了分析,将PELE侵彻过程中能量损失分为外壳和内芯撞击靶板区域环形塞块获得的能量,冲击波影响范围内外壳和内芯增加的内能,外壳前端外沿和内沿对靶板冲塞剪切耗能等,给出了确定这些能量的计算方法;并依据能量守恒原理,给出了PELE正撞金属薄靶板靶后剩余速度的近似计算公式。公式计算结果与多种条件下实验结果均吻合较好。分析计算所得各能量损失结果表明,弹体内芯材料的变化对弹体侵彻能力的影响较小;侵彻中靶板塞块获得的能量在弹体侵彻动能损失中比重最大;外壳前端内沿对靶板的剪切能耗对弹体动能损失的影响可以忽略。     

横向效应增强型弹丸正侵穿金属薄靶轴向剩余速度近似计算与分析

运用冲击波理论,对横向效应增强型弹丸(Penetration with Enhanced Lateral Efficiency,PELE)侵穿金属靶板的机理进行了分析,将PELE侵彻过程中能量损失分为外壳撞击靶板区域环形塞块获得的能量,内芯撞击靶板区域塞块获得的能量,冲击波影响范围内外壳和内芯增加的内能,外壳前端外沿和内沿对靶板冲塞剪切耗能等几部分,给出了确定这些能量的计算方法;并依据能量守恒原理,给出了PELE正撞金属薄靶板靶后剩余速度的近似计算公式。公式计算结果与多种条件下实验结果均吻合较好。分析计算所得各能量损失结果表明,弹体内芯材料的变化对弹体侵彻能力的影响较小;侵彻中靶板塞块获得的能量在弹体侵彻动能损失中比重最大;外壳前端内沿对靶板的剪切能耗对弹体动能损失的影响可以忽略。     

某预制破片弹丸穿甲威力研究

介绍了战斗部预知破片弹丸所针对的目标,给出了高速运动弹丸对目标的穿甲作用理论以及理论计算方法,并给出了计算结果;同时通过有限元分析方法在有限元分析软件中建立了弹丸对靶板侵彻的仿真计算模型并进行了计算。计算结果表明：预制破片弹丸所具备的威力不但能够侵彻给定的装甲目标,对装甲目标内部设施具有二次毁伤的效果。     

30mm半穿甲弹斜侵彻陶瓷/钢复合装甲的弹着角效应研究

设计了30mm半穿甲弹斜侵彻陶瓷/钢复合靶的弹道试验,采用高速摄像记录了弹靶作用过程,研究了弹着角、弹丸位移以及背板变形挠度的图像测量方法,通过仿真验证了该方法的可行性与准确性.基于高速摄像序列图像对弹靶作用过程进行了测量分析,结合试验数据研究了弹着角对半穿甲弹侵彻效能的影响.结果表明:弹着角导致弹丸受靶板的不对称阻力作用,侧向力及侧向力矩使得弹丸在侵彻过程中不断偏转,表现为侵彻路径呈曲线;在相同速度条件下,随着弹着角的增大,侵靶时间延长,背板变形挠度减小,侵彻效能降低.     

小口径火炮侵彻钢靶模拟实验研究及有限元分析

对小口径火炮侵彻钢靶问题,分别进行了实验和有限元分析,并将所得结果进行了比较;分析了小口径火炮侵彻钢靶的侵彻过程,得到了带空腔弹丸高速垂直侵彻钢板的典型破坏模式.     

Damage behavior of the KKV direct hit against fluid-filled submunition payload

The damage effects of fluid-filled submunition payload impacted by the kinetic kill vehicle (KKV) are investigated by simulations and ground-based experiments. Numerical simulations showed that the damage level and number of submunitions were significantly influenced by the diameter of the KKV compared with its length. Based on that, a high velocity penetrator formed by shaped charge explosion was used to simulate the direct hit experiment of a KKV impacting submunition payload. Experimental results demonstrated that the damage modes of submunitions mainly included the slight damage, perforation and total smash, showing a good agreement with the simulations. To understand the multiple damage modes of submunitions, the damage behavior of the submunitions in direct hit process were analyzed based on the AUTODYN-3D code. Numerical results presented that increased KKV diameter can increase the crater diameter and expand the damage volume, which will achieve a higher direct hit lethality. Further analysis indicated that there were other mechanical behaviors can enhance the damage to submunitions not lying in the KKV flight path, such as secondary debris kill, neighboring submunitions collision with each other, and high-speed fluid injection effect.     

Attitude deflection of oblique perforation of concrete targets by a rigid projectile

A perforation model is developed to predict the attitude deflection in the oblique perforation of concrete targets by a rigid projectile, in which the inertial moment of the projectile is introduced, together with taking the attitude deflection during the shear plugging sub-stage into account, and the shape of the plug formed on the rear surface of target is also re-investigated. Moreover, a new classification of concrete targets is proposed based on the target thickness, with which the attitude deflections in different kinds of concrete targets are analyzed. It is found that the numerical results by using the new perforation model are in good agreement with the previous experimental data and simulated results. Furthermore, the variations of the attitude deflection with the initial conditions (the initial attitude angle and the initial impact velocity) are investigated.     

填充式波纹夹层结构超高速撞击特性仿真

基于航天器空间碎片被动防护需求,对一种新型填充式波纹夹层结构进行超高速撞击仿真研究,分析超高速撞击过程以及结构的穿孔破坏情况和所形成的碎片云的特性,并与相同面密度Whipple结构进行对比。其撞击现象与Whipple结构相似,但其碎片云的头部速度小于Whipple结构,而径向膨胀最大速度和膨胀半角均大于Whipple结构。随撞击初速从3 km/s~10 km/s不断增大,波纹夹层结构的撞击穿孔尺寸变大,形状也更不规则。此外,结构中的填充树脂对碎片撞击能量的吸收贡献最大,后面板所吸收的能量所占比重较大,而前面板和波纹板对碎片撞击能量的吸收贡献较小。研究结果对空间碎片防护结构的设计具有一定的参考意义。     

加筋板架抗动能穿甲的等效防护厚度研究

为研究舰船舷侧结构抗穿甲性能,采用有限元分析了两种典型工况下板架的穿甲破坏模式、弹体的剩余速度和板架的变形吸能规律,提出了基于剪切冲塞模式的剩余速度理论计算模型,比较了不同等效计算方法得到的结果,并将理论计算结果分别与相关文献的实验结果和本文的有限元计算结果进行了比较,两者之间均吻合较好。结果表明,加强筋对板架的抗穿甲性能影响较大,而板架的实际等效厚度是决定其抗穿甲性能的主要因素;不同的等效计算方法与模型相对尺寸、弹体冲击速度以及命中位置有关,对于弹体直径相对较大且初始冲击速度较高时,不同的等效计算方法得到的结果基本一致。     

Statistical variability and fragility assessment of ballistic perforation of steel plates for 7.62 mm AP ammunition

The paper describes field test results of 7.62 × 51 mm M61 AP (armour piercing) ammunition fired into mild steel targets at an outdoor range. The targets varied from 10 mm to 32 mm in thickness. The tests recorded penetration depth, probability of perforation (i.e., complete penetration), muzzle and impact velocities, bullet mass, and plate yield strength and hardness. The measured penetration depth exhibited a variability of approximately ±12%. The paper then compared ballistic test results with predictive models of steel penetration depth and thickness to prevent perforation. Statistical parameters were derived for muzzle and impact velocity, bullet mass, plate thickness, plate hardness, and model error. A Monte-Carlo probabilistic analysis was then developed to estimate the probability of plate perforation of 7.62 mm M61 AP ammunition for a range of impact velocities, and for mild steels, and High Hardness Armour (HHA) plates. This perforation fragility analysis considered the random variability of impact velocity, bullet mass, plate thickness, plate hardness, and model error. Such a probabilistic analysis allows for reliability-based design, where, for example, the plate thickness with 95% reliability (i.e. only 1 in 20 shots will penetrate the wall) can be estimated knowing the probabilistic distribution of perforation. Hence, it was found that the plate thickness to ensure a low 5% probability of perforation needs to be 11–15% thicker than required to have a 50/50 chance of perforation for mild steel plates. Plates would need to be 20–30% thicker if probability of perforation is reduced to zero.     

Storage problems when demand is “all or nothing”

An inventory of physical goods or storage space (in a communications system buffer, for instance) often experiences “all or nothing” demand: if a demand of random size D can be immediately and entirely filled from stock it is satisfied, but otherwise it vanishes. Probabilistic properties of the resulting inventory level are discussed analytically, both for the single buffer and for multiple buffer problems. Numerical results are presented.     

A three-stage model for the perforation of finite metallic plates by long rods at high velocities

A three-stage theoretical model is presented herein to predict the perforation of a thick metallic plate struck normally by a long rod at high velocities. The model is suggested on the basis of the assumption that the perforation of a thick metallic plate by a long rod can be divided into three stages: (1) initial penetration; (2) plug formation and (3) plug slipping and separation. Various analytical equations are derived which can be employed to predict the ballistic limit, residual velocity and residual length of the long rod. It is demonstrated that the present model predictions are in good agreement with available experimental results for the perforation of finite steel targets struck normally by steel as well as tungsten alloy long rods at high velocities. It is also demonstrated that the dynamic maximum shear stress of a plate material has strong effect on plug formation and plug thickness which, in turn, exerts considerable influence on the residual velocities and lengths of a long rod at impact velocities just above the ballistic limit.     

各向异性介质体目标电磁散射分析的快速算法

利用体积分方程矩量法(MoM)及其多层快速多级子算法(MLFMA)研究了各向异性的电介质体或/和磁介质体目标的电磁散射问题,将多层快速多级子算法的计算结果与解析方法(Mie)或矩量法结果进行了对比分析.不但验证了MLFMA算法的高效性和精确性,同时该算法还适合于分析模拟任意复杂介质体(如各向异性磁化等离子体)目标的电磁散射问题,为进一步实现电大尺寸的任意复杂各向异性介质体/金属组合目标电磁散射分析的精确高效算法奠定了基础.     

有耗媒质中目标体散射特性的TSNU-PSTD模拟

结合PML边界条件的傅立叶时域伪谱(PSTD)算法已被广泛用于模拟电磁波传播和目标散射,但传统的PSTD方法在每个坐标方向上需要均匀分布的空间坐标网格点,因而不能够很好地模拟曲面目标和与网格空间尺寸不一致的目标,基于变空间非均匀网格的PSTD(TSNU-PSTD)方法可以很好地克服这些不足。将CFS-PML边界条件应用在PSTD算法中,并将其与TSNU-PSTD方法相结合模拟了大范围有耗媒质中介质体目标的电磁散射,部分计算结果与FDTD计算结果进行了比较。仿真结果表明,TSNU-PSTD算法只需平均每波长分成3个网格就可以得到令人满意的计算结果,可高效地分析大范围有耗媒质中曲面形状目标体的散射特性。     

A note on distribution-free tolerance limits

This note presents methods for solving for any one of the four parameters (such as sample size) involved in the construction of distribution-free tolerance limits in terms of the other three. These solutions are based on a normal approximation to the incomplete beta function. Numerical examples indicate that the approximations are very reasonable. Also considered are tolerance limits with a specified precision.