基于最小二乘法的反应流拉格朗日分析在冲击起爆中的研究

现有反应流拉格朗日分析方法在已知粒子速度情况下，求解方法仍有不足。本文针对这一情况，将反解法与自洽检验法相结合，提出了基于最小二乘法的反应流拉格朗日反解法，该方法的理论精度能够实现应力沿路径线的 M阶导数为零（M为迹线数），并且该方法能够满足自洽检验法。为了验证该方法的有效性，利用该方法对一组小隔板冲击起爆试验数据进行了处理，对比了本文方法、试验处理以及传统的反解法处理结果，表明该方法不仅可以适当减小迹线上的偶然误差，还能够使得迹线函数更好地反映各物理量沿迹线的变化性态。

Reactive flow Lagrangian analysis with least squares in shock to detonation transition

The existing reactive flow Lagrangian analysis methods are still inadequate when measured the particle velocity records from a series of gauges embedded in material.Based on this point,a new reactive flow Lagrangian analysis method combined the inverse analysis with self-consistency examination is presented.The theoretical accuracy of the method met the self-consistency examination can achieve M-order partial derivatives equal to zero.Besides,the verification of the method for shock to detonation transition (SDT) is studied by a set of test data of small scale gap tests (SSGT).Compared the method,experiment and the traditional inverse analysis results,it not only reduced the accidental error of particle-line,but also makes the particle-line function to reflect the behavior of the various physical quantities along the particle-line.