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Dimensionless numbers for dynamic response analysis of clamped square plates subjected to blast loading

机译:爆炸载荷作用下夹紧的方板动力响应分析的无量纲数

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摘要

A dimensionless governing equation of clamped square plates was obtained by introducing dimensional analysis method to the basic governing equations of plates. The dimensionless governing equation includes three different influence aspects on structural dynamic response: the geometry of the structure, the dynamic resistance ability of material and the ratio of dynamic loads to the resistance ability of material. The dimensionless governing equation was applied to the dynamic response study of plates under blast loading, and a new dimensionless number was suggested for clamped square plates under explosion loads. The suggested dimensionless number has clear physical meaning, and the parameters included in the dimensionless number are easy to get. The dimensionless number suggested in this paper was applied to analysis the experimental data of clamped square plates under blast loading. Meanwhile, comparative analysis was proceeded which indicated the dimensionless number suggested in this paper can be effectively used to predict the dynamic response. The results showed the deflection-thickness ratio is in direct proportion to the dimensionless damage number. An empirical expression was obtained which can be used to the prediction of dynamic response of similar clamped plate under different blast loading condition.
机译:通过将尺寸分析方法引入板的基本控制方程中,得到了夹板的无量纲控制方程。无量纲控制方程包括对结构动力响应的三个不同影响方面:结构的几何形状,材料的动态阻力能力以及动态载荷与材料的阻力能力之比。将无量纲控制方程应用于爆炸荷载作用下的板的动力响应研究,并为爆炸荷载下的方形夹板提出了新的无量纲数。建议的无量纲数具有明确的物理含义,并且容易获得包含在无量纲数中的参数。本文提出的无量纲数用于分析爆炸载荷作用下夹板的实验数据。同时,进行了比较分析,表明本文提出的无量纲数可以有效地用于预测动态响应。结果表明,挠度-厚度比与无量纲损伤数成正比。获得的经验表达式可用于预测不同爆破载荷条件下相似夹板的动力响应。

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