为研究近地空爆冲击波流场中三波点的轨迹变化规律,基于镜像法构建三波点的几何约束,结合LAMB模型和多项式拟合法,得到了三波点的轨迹预测模型。首先,利用镜像法构造平齐于爆高的三波点的几何约束作为起始点,并计算入射角,与缩放系数相乘后作为预测模型的起始角。其次,根据三波点轨迹与起始点的几何关系构造轨迹预测方程。然后,利用不同爆高的已有三波点数据确定模型未知项参数。最后利用数值模拟结果、已有三波点数据及实爆试验数据评估模型的合理性,并同已有方法对比。结果表明,预测模型结果与实爆三波点位置更吻合,在比例爆高为0.35至1.42的工况下,预测模型在水平比例距离不大于10时输出的三波点轨迹更准确,可靠性高。
Abstract
To study the rule of the triple point(TP)trajectory in the shock wave flow field of the near-earth air blast, the TP path prediction model was obtained by the constructed TP geometric constraints from the mirror image method, combining with the LAMB model and the polynomial fitting method. First, the TP geometric constraint based on the explosion height is constructed as the starting point(SP)by the mirror image method. The starting angle of the prediction model is calculated by multiplying the incident angle and the scaling factor. Second, the trajectory prediction equation is constructed according to the geometrical relationship between the TP trajectory and the SP. Then, unknown parameters of the model are determined by the TP data at different explosion height. Finally, based on the numerical simulation results, the known TP data, and the real blasting data, the model verification is evaluated and compared with the existing methods. The results show that the prediction model results of triple point are consistent with the real blasting data. When the scaling explosion height is from 0.35 to 1.42 and the horizontal scaling distance is less than 10, the TP trajectory output by the prediction model is more accurate and reliable.
关键词
爆炸力学 /
近地空爆 /
镜像法 /
LAMB /
三波点 /
轨迹预测
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Key words
explosion mechanics /
near-earth air blast /
mirror image method /
LAMB /
triple point /
trajectory prediction
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