滑移爆轰作用下飞板运动规律的特征线差分法研究

摘要

根据二维定常流的理论和稳定爆轰的基本假设推导了通用状态方程的特征线相容关系,利用此方法对滑移爆轰中飞板的运动规律进行了研究.对比分析了多方方程和通用状态方程特征线法在TNT和乳化炸药爆轰作用下飞板的飞行参数；研究了两种方法在不同质量比下飞板的抛掷姿态曲线,并对其计算结果进行了对比研究.通过与二维Richter公式的计算结果进行对比,证实了通用状态方程计算结果的正确性.研究结果表明:通用状态方程的特征线法计算得到的抛掷角和竖向位移小于Richter计算公式得到结果,且最大相差9％,恰好符合Richter公式计算结果往往偏大的特征.%According to the theory of two-dimensional steady flow and basic assumption of steady detonation,deduced compatibility relationship of characteristic curve in universal equation of state. The movement of flyer plate was investigated with characteristic curve method in sliding detonation. The flying parameters of flyer plate were compared and analysed in detonation of TNT and emulsion explosive,which were in characteristic method of polytropic equation and universal equation of state. At different mass ratios,projectile curves of flyer plate under detonation of TNT and emulsion exlosive were investigated, and compared with the calculation results. Finally, in order to verify accuracy of the calculation results,two-dimensional Richter method was used to calculate the parameters of flyer palte. Results show that the throwing angle and vertical displacement with characteristic curve of universal equation of state are less than that of Richter formula,which are greatly consistent with the distinction of Richter formula,and the maximum difference is 9%.