基于量纲分析的平面冲击波经验模型研究  

Empirical Model of Plane Shock Wave on the Impact Surface of Target Based on Dimensional Analysis

作　　者：赵传荣[1,2] 孔德仁[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094 [2]安徽工业大学电气与信息工程学院,安徽马鞍山243032

出　　处：《高压物理学报》2016年第6期526-530,共5页Chinese Journal of High Pressure Physics

基　　金：国家自然科学基金(11372143)

摘　　要：当飞片或靶板材料的冲击雨贡纽参数未知时,根据现有靶板撞击面冲击波压力的理论模型无法对其冲击波压力峰值和脉冲宽度进行准确预估。针对该问题,基于相似理论,对影响冲击波压力峰值和脉冲宽度的因素进行量纲分析,分别建立了冲击波压力峰值和脉冲宽度的经验模型,且模型中各项均有明确的物理意义。通过实例分析,获得了不同飞片厚度和冲击速度下,45钢冲击纯镍产生的平面冲击波的经验模型定量关系式,模型预测结果与实验测量值较为吻合。When the equation of state （EOS） and physical parameters of the projectile and the target plate materials are unknown, it is impossible to estimate accurately the peak value and the pulse width of the shock wave pressure on the impacting surface based on the existing theoretical models. To solve this problem, using the dimensional analysis, we studied the factors influencing the peak value and the pulse width of the shock wave pressure, and established an empirical model of the peak value, and that of the pulse width of the shock wave pressure respectively,with a clear physical meaning specified for each component in the formulas. This kind of model successfully avoided the problem of unknown EOS of the projectile and target materials. The obtained formulas can be used to predict the peak value and the pulse width of the shock wave pressure. We applied this model to an actual experiment of 45 steel impacting on a Ni plate, and found that the peak values and the pulse widths of the shock wave pressure calculated by this model match well with the measured results,which proves the feasi- bility of our model.

关 键 词：平面冲击波 压力峰值 脉冲宽度 量纲分析 经验模型 

分 类 号：O385[理学—流体力学]