爆炸载荷作用下夹持方板动态响应量纲分析

Dimensional Analysis of the Dynamic Responses of Clamped Square Plates under Explosion Loads

针对舱室模型在内爆载荷作用下舱壁的动态响应问题,使用量纲分析对爆炸载荷作用下夹持方板的动态结构响应问题进行分析,推导了夹持方板的挠度厚度比无量纲数。该无量纲数考虑了炸药能量Qm、夹持方板板厚H和夹持方板屈服强度σ_(0),最后给出了挠度厚度比与无量纲数之间的无量纲关系图。研究结果表明:爆炸载荷作用下夹持方板的变形量与Qm/H^(3)σ_(0)存在明显线性关系。结论可以用于指导船舱局部板架在内部爆炸载荷作用下的动态响应模型试验,进而预报结构的最终塑性变形。

The dynamic response of a cabin model under an internal explosion load is explored and the structural responses of clamped square plates under explosion loads are analyzed using dimensional analysis.A dimensionless number for the deflection-thickness ratio of the clamped square plates is proposed and the influence of the explosive energy Qm,thickness H,and yield strength σ_(0) of the square plates are considered in the dimensionless number.A dimensionless relationship diagram between the deflection-thickness ratio and dimensionless number is provided.It can be concluded that there is a linear relationship between the deformation of the clamped square plates and Qm/H^(3)σ_(0) under explosion loads.The dimensionless number can be applied in dynamic response experiments on cabin structures under explosion loads and used to predict the final plastic deformation of structures.