摘要
钻地弹对成层式防护结构的侵彻深度是防护工程设计中的关键,实际弹体侵彻时通常存在一定入射角,且防护结构的被覆为分层介质,相关侵彻深度计算理论与经验公式较为复杂,不利于工程应用。从弹体的运动方程出发,分析了弹体斜侵彻时的运动偏转规律,给出了偏安全的斜侵彻计算公式。引入等效厚度的概念,将多层介质通过波阻抗进行等效厚度换算,由此得到分层介质侵彻深度计算方法。结果表明,斜侵彻深度可按正侵彻深度乘以入射角的余弦值估算,所得结果偏安全;不同介质中的侵彻深度与介质的波阻抗成反比。所得斜侵彻与分层介质侵彻深度公式与现行规范形式具有一致性,解释了规范经验公式的物理意义。与钢筋混凝土中斜侵彻试验进行对比,当入射角为0°~50°时,理论预测最大相对误差为21.6%,与分层介质侵彻数值模拟进行对比,理论预测侵彻层数与模拟一致,侵彻深度相对误差为3%,验证了所提方法的适用性。
The penetration depth of earth-penetrating projectiles into layered protective structures is a key issue in protective engineering design.In practice,the projectile usually penetrates the target with an incidence angle,and the protective structure is typically composed of multi-layered materials.The relevant theories and empirical formulas for penetration depth are relatively complex,which are not conducive to engineering applications.Based on the motion equation of the projectile,the motion deflection law of the projectile during oblique penetration was analyzed and a safety-biased calculation formula for oblique penetration was presented.The concept of equivalent thickness was introduced to convert the equivalent thickness of multi-layered media through wave impedance,then a calculation method for the penetration depth of multi-layered media was obtained.The results show that the oblique penetration depth can be estimated by multiplying the normal penetration depth by the cosine of the angle of incidence,yielding a conservative result;the penetration depth in different media is inversely proportional to the medium's impedance.The derived formulas for oblique and layered media penetration depths are consistent in form with current specifications,elucidating the physical significance of the empirical formulas in the specifications.Compared with the oblique penetration test in reinforced concrete,the maximum relative error of the theoretical prediction is 21.6%in the range of incidence angle from 0°to 50°.Compared with the numerical simulation of pene-tration to layered media,the theoretical prediction of the number of penetration layers is consistent with the simulation,and the relative error of penetration depth is 3%,which verifies the applicability of the theoretical calculation method.
作者
徐天涵
张效晗
蒋海明
王明洋
XU Tianhan;ZHANG Xiaohan;JIANG Haiming;WANG Mingyang(College of National Defense Engineering,Army Engineering University of PLA,Nanjing 210007,China;School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)
出处
《陆军工程大学学报》
2025年第4期22-29,共8页
Journal of Army Engineering University of PLA
关键词
斜侵彻
分层介质
侵彻深度
成层式结构
oblique penetration
multi-layered media
penetration depth
layered structures
