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兵工学报 ›› 2012, Vol. 33 ›› Issue (9): 1088-1094.doi: 10.3969/j.issn.1000-1093.2012.09.012

• 论文 • 上一篇    下一篇

冲击波感度临界隔板厚度的优化试验方法

王典朋1, 田玉斌1, 刘柳2   

  1. (1.北京理工大学 理学院, 北京 100081; 2.中国工程物理研究院 化工材料研究所, 四川 绵阳 621900)
  • 收稿日期:2011-04-19 修回日期:2011-04-19 上线日期:2014-03-04
  • 作者简介:王典朋(1984—),男,博士研究生
  • 基金资助:
    国家自然科学基金项目(10971012)

A New Estimation Method for Critical Gap Thickness

WANG Dian-peng1, TIAN Yu-bin1, LIU Liu2   

  1. (1.School of Sciences, Beijing Institute of Technology, Beijing 100081, China;2.Institute of Chemical Materials, China Academy of Engineering Physics, Mianyang 621900, Sichuan, China)
  • Received:2011-04-19 Revised:2011-04-19 Online:2014-03-04

摘要: 临界隔板厚度是表征含能材料冲击波起爆感度的重要参数。目前估计临界隔板厚度普遍使用的方法是升降法和Neyer方法。然而升降法和Neyer方法需要的样本量较大,并且在试验步长较大时会出现大量的无效试验。为了克服升降法和Neyer方法的缺陷,文中提出了一种估计临界隔板厚度的新方法。该方法基于优化随机逼近思想,不需要用极大似然方法进行参数估计,改进了交错区间的限制,从而有效避免无效试验。通过模拟研究,对比了新方法与升降法、Neyer方法的估计效果,并将新方法应用于实际试验。模拟研究结合实际试验表明,新方法样本量小、估计精度高,能够更精确、稳健地估计临界隔板厚度。

关键词: 爆炸力学, 随机逼近方法, 升降法, 隔板试验, 冲击波感度

Abstract: The critical gap thickness is an important parameter to characterize the shock wave sensitivity of energetic materials. Now, the up-and-down and Neyer methods are most popular. However, they need larger amount of samples and many invalid tests may exist when the step length becomes larger. In this paper, a new optimization method to estimate the critical thickness was proposed. Based on the idea of optimal stochastic approximation, it needs not to estimate the parameters by using maximum likelihood, improves the limitation for overlap intervals and avoids the invalid tests effectively. Its performance was compared with those of up-and-down and Neyer methods. The results show that the new method needs only small amount of samples and can estimate the critical gap thickness accurately and reliably.

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