| 陶为俊,浣石,蒋国平.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[J].计算力学学报,2013,30(4):570~574 |
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| 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 |
| 投稿时间：2012-03-29 修订日期：2012-08-21 |
| DOI：10.7511/jslx201304020 |
| 中文关键词: 反应流拉格朗日分析 冲击起爆 最小二乘 |
| 英文关键词:reactive flow Lagrangian analysis SDT least squares |
| 基金项目: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. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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