量纲分析法估算飞片最终速度

摘要

In this paper, dimensional analysis is applied to investigate the normal driving rigid plate by plane explosive. The formula of velocity is obtained. By further analysis the plate velocity increases with the increasing of detonation velocity and the mass ratio of explosive and plate. But it decrease as the increasing of polytropic exponent. There is an optimal mass ratio indicating the high energy efficiency of the explosives. The fomula matches well with the results obined by the early experiments with the error below 5%.%文章应用量纲分析的方法,拟合已有的实验数据,得到了炸药驱动飞片一维运动的最终速度公式.对该公式进一步分析,炸药飞片速度随着爆轰速度增加而增加,随着爆轰产物多方指数的增加而减少,随着炸药与钢飞片质量比的增加而增加,且存在一个最优的比值,使其炸药能量利用率最高.该公式与实验测试结果偏差不超过5％.