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  

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

作　　者：陶为俊[1] 浣石[1] 蒋国平[1] 

机构地区：[1]广州大学工程抗震研究中心,广州510405

出　　处：《计算力学学报》2013年第4期570-574,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10972060);高等学校博士学科点科研基金(20104410110003);广州大学新苗计划(2012-17)资助项目

摘　　要：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。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 pres- ented. 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 al- so makes the particle-line function to reflect the behavior of the various physical quantities along the par- ticle-line.

关 键 词：反应流拉格朗日分析 冲击起爆 最小二乘 

分 类 号：O347.3[理学—固体力学] V216.55[理学—力学]