根据岩石介质在钻地弹侵彻时所产生的变形和破坏现象,将弹体侵彻近区分为破坏区和弹性区以及裂纹区,利用内摩擦介质侵彻近区运动学方程式,考虑弹体在岩石介质中的滑动摩擦系数,求得弹头阻力。同时,引入质量守恒方程,得出弹体的比例尺度换算关系。再根据牛顿运动定律建立弹体的运动方程,得到侵彻深度表达式,结合经验公式的试验深度,近似得出弹体在岩石介质中滑动摩擦系数的计算表达式。计算表明,滑动摩擦系数选取对钻地弹侵彻深度有较大影响,进而分析了弹体改变对滑动摩擦系数的影响。通过与经验公式的对比验证,说明本文岩石中滑动摩擦系数计算公式具有很好的精确性、实用性,为弹体战斗部的设计提供了有力的参考。
Based on the deformation and failure phenomena of the projectile penetration into rock, the zone near the cavity of penetration is divided into failure, elasticity and crack zone. Considering the influence of friction coefficient of sliding, the resistance of warheads is gotten by use of the dynamic equation of intrinsic friction medium near the cavity of penetration. The relation of scale conversion is gotten by use of the mass conservation equation. The expression of depth of penetration is gotten by means of the motion equation of projectiles according to the Newton's law of motion. Considering the examination data from empirical formulas, the expression of friction coefficient of sliding is gotten. Through the calculation, the choice of coefficient has rather great influence on the depth of projectile penetration. Then the influence of the change of projectiles on the coefficient is analyzed. By comparing the calculated results with experimental formulas, the sliding friction calculation formulas have highly accurate and practical characters and will provide the strong reference for the design of warheads.