相似理论与量纲分析法相结合的钻地弹侵彻岩体经验公式

The Research on An Empirical Formula for Earth Penetrator Weapons Penetrating Rock Targets

弹体侵彻问题一直是热点的研究课题,目前对岩体侵彻深度的预测主要依靠经验公式。由于常见的经验公式是在老式弹种或一般航弹的基础上总结出来的,不适合新发展使用的钻地弹,部分公式计算结果与实际偏差较大,需对经验公式进行修正。利用相似理论和量纲分析法确定影响侵彻深度的关键参数,建立函数关系式,通过大量数据拟合出钻地弹侵彻岩体的经验公式,并利用ANSYS/LS-DYNA有限元分析软件对钻地弹侵彻岩体进行数值模拟,其结果与拟合公式和常见的经验公式相比较,表明拟合公式与模拟结果吻合较好,可用于钻地弹侵彻岩体深度的预测。

Projectile penetration is always a hot research topic, and the prediction of the penetration depth of the rock targets is mainly depended on the empirical equations, the common empirical formulas are summation of the knowledge of the old bombs or the general aviation bombs, they are not suitable for the new development of the earth penetrator weapons, the calculated results of some formulas are far from the actual results, and the empirical formulas are necessarily modified. The similarity theory and the dimensional analysis method are used to determine the key parameters affecting penetration depth, and the function relation is established. Then the empirical formula of the earth penetrator weapons penetrating rock targets is fitted through a large number of data. Numerical simulation is carried out on the earth penetrator weapons penetrating rock targets by ANSYS/LS-DYNA. Compared with the results of the fitting formula and the common empirical formulas, the result indicates that the results of the numerical simulation are well consonant with the results of fitting formula, and the fitting formula can be applied for predicting the depth of earth penetrator weapons penetrating rock targets.