中文摘要：

对冲击荷载作用下Winkler地基上横观各向同性浅球壳的非线性动力响应进行研究。考虑壳的几何非线性，建立适合任意边界的Winkler地基上浅球壳受冲击荷载作用下的非线性运动微分方程；通过分析冲击荷载与浅球壳之间的弹性接触效应和利用正交配点法，研究冲击荷载作用下Winkler地基上壳体中点位移响应随Winkler地基刚度、撞击物的初始速度、撞击物接触点位置、壳体几何性质的变化规律。计算结果表明：随着撞击物体初速度增大，Winkler地基上浅球壳中点的位移响应随之变大，且浅球壳体几何性质的变化会引起壳中点位移的变化；撞击作用接触点位置亦对Winkler地基上浅球壳中点位移响应的影响很大。

英文摘要：

The nonlinear dynamic behavior of transversely isotropic shallow spherical shells of Winkler foundation subjected to impact force was studied. Based on the nonlinear theory of shallow shells, a set of nonlinear equations of motion for transversely isotropic shallow spherical shells of Winkler foundation subjected to an eccentric impact force were founded. Considering the effect of contact between the striking object and the shallow shells, using the orthogonal point collection method, the effects of striking object＇s initial velocity, the point of contact, Winkler foundation and shell＇ geometrical parameters on the dynamic response of shell were discussed. The numerical results show the deflection of transversely isotropic shallow spherical shells increases with the increase of striking object＇s initial velocity, and the dynamic behavior of transversely isotropic shallow spherical shells changes with the shell＇ geometrical parameters and the different positions of the point of contact.