空爆载荷作用下固支矩形钢板的塑性极限变形

Plastic limited deformation analysis of the clamped rectangular steel plate subjected to air non-contact explosions

采用能量守恒原理,对四边固支约束的矩形钢板在空中非接触爆炸载荷作用下的塑性动力响应进行理论分析;考虑矩形板变形过程中的弯矩效应、膜力效应对变形的影响,建立板变形的挠曲面函数,对板塑性铰线弯曲变形能及面内的伸长变形能进行理论推导,得到钢板塑性大变形的理论计算公式;算例验证表明:理论计算结果与文献试验及程序模拟结果吻合较好,可以应用于板类结构在空中非接触爆炸载荷作用下的毁伤或大变形预测.

The theoretical analysis about the plastic dynamic response of the clamped rectangular steel plate subjected to air non - contact explosion loading is conducted with the principle of energy conservation. And considering the influence of the bend moment and membrane force effect on the deformation of steel plate in the process of the deformation of rectangular plate, the deflection face function is founded, and the bending deformation energy of the plastic hinge -line and the protracting deformation energy in the plane are deduced, and the theoretical calculating formula of the plastic deflection is derived. Validated with some examples, the calculating data comply well with the experimental and program simulating results. It is obvious that this method can be applied to the engineering prediction of the damage or the large deformation of the steel plate structure subjected to air non -contact explosion loading.