Thin curved shells are widely used in engineering. A shallow spherical shell is an effective representation of a curved shell affected by local impact loading. Therefore, the dynamic response of spherical shells under impact loading should be investigated to provide a design reference for curved shells applicable to engineering fields. In this study, the dynamic response and perforation of an aluminum spherical shell impacted by a cylindrical projectile were investigated theoretically. An isometric transformation was adopted to describe the major bending deformation of the spherical shell around the impact point. In addition, an edge region between the major bending part and an undeformed part was observed experimentally and described using a deformation mode. Hamilton's principle was adopted to derive the governing equations of the dynamic response of the impacted spherical shell. Furthermore, a viscoplastic strengthened model was introduced to describe the membrane force and bending moment of the perforation, whereas a rigid–plastic model was used to calculate the force and moment of the other parts of the spherical shell. The governing equations combined with the strengthened model were solved using the Runge–Kutta method. A comparison between the theoretical predictions and experimental results indicated a good agreement between them. Finally, the effects of the parameters set in the governing equations of the theoretical prediction were analyzed. We observed that the theoretical model predicted dimple radius more accurately than dimple depth. The dimple depth is linearly proportional to the impact velocity. In addition, the assumed sizes of the shear region of perforation only affect the ballistic limit and deformation generated by a velocity higher than the ballistic limit. The deformation and perforation of the impacted shell are almost independent of the initial width of the edge region of deformation. Additionally, we observed that the ballistic limit of the shell is linearly proportional to the shell thickness.

弯曲的薄壳在工程中广泛使用。浅球形壳是受局部冲击载荷影响的弯曲壳的有效表示。因此，应研究球壳在冲击载荷下的动力响应，为可应用于工程领域的弯曲壳提供设计参考。在这项研究中，理论上研究了铝质球形壳受圆柱弹的动力响应和穿孔。采用等距变换来描述球形壳在冲击点附近的主要弯曲变形。另外，通过实验观察并使用变形模式描述了主要弯曲部分和未变形部分之间的边缘区域。汉密尔顿 采用S原理推导了冲击球壳动力响应的控制方程。此外，引入了粘塑性强化模型来描述膜的力和穿孔的弯矩，而使用刚塑性模型来计算球壳其他部分的力和矩。使用Runge–Kutta方法求解与强化模型结合的控制方程。理论预测和实验结果之间的比较表明它们之间有很好的一致性。最后，分析了在理论预测的控制方程中设置的参数的影响。我们观察到，理论模型预测的凹坑半径比凹坑深度更准确。凹坑深度与冲击速度成线性比例。另外，穿孔剪切区域的假定尺寸仅影响弹道极限和由高于弹道极限的速度产生的变形。受到冲击的壳体的变形和穿孔几乎与变形边缘区域的初始宽度无关。此外，我们观察到弹壳的弹道极限与弹壳厚度成线性比例。