基于量纲分析的爆炸冲击波作用后钢化玻璃碎片质量分布规律研究  

Study of the Fragment Mass Distribution of Tempered Glasses Subjected to Blast Shock Waves Based on Dimensional Analysis

作　　者：钟巍[1,2] 田宙[1] 寿列枫[1] 李伟昌[1] 何增[1] 浦锡锋[1] 王仲琦[3] ZHONG Wei;TIAN Zhou;SHOU Lie-feng;LI Wei-chang;HE Zeng;PU Xi-feng;WANG Zhong-qi(Northwest Institute of Nuclear Technology,Xi an 710024,Shaanxi,China;School of Mathematical Sciences,Peking University,Beijing 100871,China;State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]西北核技术研究所,陕西西安710024 [2]北京大学数学科学学院,北京100871 [3]北京理工大学爆炸科学与技术国家重点实验室,北京100081

出　　处：《兵工学报》2018年第7期1323-1332,共10页Acta Armamentarii

基　　金：国家自然科学基金重大研究计划项目(91330205)

摘　　要：为研究爆炸冲击波作用于钢化玻璃产生碎片造成的次级毁伤效应,开展了钢化玻璃毁伤效应试验,进行了碎片质量分布统计。通过整理分析试验数据,得到了每发次试验碎片质量在不同飞散距离的试验统计结果。利用量纲分析,推导了碎片质量与飞散距离的无量纲函数关系式。基于该关系式,结合试验统计结果,利用最小二乘法拟合得到了碎片质量与飞散距离的半经验预测公式,并分析了公式的特点,验证了预测公式的合理性。研究结果表明,对于相同厚度的钢化玻璃,在相同破坏模式下其碎片质量分布规律一致,满足相同的分布规律预测公式。The secondary damage effect of tempered glass subjected to blast shock waves was researched through experiments,and the statistics of mass distribution of glass fragments were done in the experiments. The mass distribution of fragments is analyzed and researched according to the statistical results.A dimensionless function of the relationship between the fragment mass and the splashing distance is derived based on the dimensional analysis. According to the dimensionless function and the experimental statistical data,a semiempirical prediction formula to calculate the fragment mass distribution is obtained by employing the least square fit. The characteristics of the formula are analyzed,and its reasonableness and effectiveness are verified. The research result shows that the mass distribution laws of glass fragments are consistent for the tempered glasses with the same thickness in the same damage mode.

关 键 词：爆炸冲击波 毁伤效应 钢化玻璃 玻璃碎片 质量分布 量纲分析 预测公式 

分 类 号：O383.2[理学—流体力学]