多速度计测量的拉格朗日分析方法研究

拉格朗日分析方法已广泛应用于爆炸力学中的小隔板试验分析以及混凝土和紫铜等惰性材料的气体炮试验分析。然而,现有的拉格朗日分析方法在分析过程中需要进行多次积分,导致误差逐次增大。为了解决这个问题,提出多速度计测量的拉格朗日分析方法,该方法由粒子速度计算得到所研究的压力、相对比容及比内能等时程曲线。对比了现有的拉格朗日分析方法和多速度计测量的拉格朗日分析方法的计算精度,结果显示本文方法计算精度较高,是现有的拉格朗日分析方法在应用中的有效改进。

Study on Lagrangian analysis method of multi-speed meter measurement

The Lagrangian analysis has been widely used in the shock initiation of explosives with small partition experiment and in the gas gun test on inert materials such as concrete and red copper.However,the existing Lagrangian analysis needs to be integrated multiple times,causing numerical errors to increase with time.In order to solve this problem,the Lagrangian analysis of multi-velocity measurement is proposed in this paper.The time history curves of pressure,phase volume and specific internal energy are obtained from the particle velocity by the proposed Lagrangian analysis.Through error analysis,the calculation accuracy of the existing Lagrangian analysis and that of the Lagrangian analysis of multi-speed meter measurement are compared.The results show that the calculation accuracy of the proposed Lagrangian analysis of the multi-speed meter measurement is higher than that of the existing Lagrangian analysis,and thus the proposed method is an effective improvement of the existing Lagrangian analysis.