针对在分析线性聚能战斗部对穿甲弹毁伤效果时,由于多因素存在共线性而无法有效建立数学模型的问题,采用ANSYS/LS-DYNA软件,以径向侵彻深度和穿甲弹质量损失为目标函数进行数值仿真。利用偏最小二乘拟合方法,构建出装药宽度、装药高度、曲率半径和药型罩壁厚对径向侵彻深度和穿甲弹质量损失的半经验数学模型。结果表明:药型罩曲率半径的降低可提升对穿甲弹的毁伤效果;药型罩壁厚的增加有利于提高穿甲弹的质量损失,但对穿甲弹的径向侵彻深度有不利影响;所建立的半经验数学模型与16组数值仿真及对照组的结果吻合较好。可为优化和估算线性聚能战斗部对穿甲弹的拦截效果提供一定的参考。

Aiming at the problem that the mathematical model cannot be established effectively due to the collinearity of many factors when analyzing the damage effect of linear shaped charge warhead on armor piercing projectile, the numerical simulation is carried out with the radial penetration depth and armor piercing projectile mass loss as the objective function by using ANSYS/LS-DYNA software. A semi empirical mathematical model of the effects of charge width, charge height, radius of curvature and liner wall thickness on radial penetration depth and mass loss of armor piercing projectile is constructed by using partial least square fitting method. The results show that the damage effect of armor piercing projectile can be improved by reducing the curvature radius of the liner. The increase in liner wall thickness is beneficial to improve the mass loss of armor piercing projectile, but has an adverse effect on the radial penetration depth of armor piercing projectile. The established semi empirical mathematical model is in good agreement with the results of 16 groups of numerical simulation and the control group. It can provide some reference significance of optimizing and estimating the interception effect of linear shaped charge warhead on armor piercing projectile.