层合中厚浅球壳受撞击时的非线性动力响应分析

建立了正交铺设层合中厚浅球壳在任一位置受撞击载荷作用的非线性运动微分方程,根据Hertzian定律,考虑撞击物与浅球壳之间的弹性接触效应,确定了壳体在其接触处所承受的冲击力。对此非线性动力问题,采用有限差分法与时间增量法求解。算例中,讨论了撞击物的速度、壳体中曲面曲率半径及接触点位置对壳体所受冲击载荷及其位移响应的影响。

ANALYSIS OF NONLINEAR DYNAMIC RESPONSE OF LAMINATED SHALLOW SPHERICAL THICK SHELLS UNDER IMPACT LOADING

A set of nonlinear motion equations for laminated shallow spherical thick shell subjected to impact loading is established. According to the Hertzian law and the effect of contact between the striking object and the shallow spherical shell, the contact force acted on the shell is determined. By using the finite difference method and the time increment procedure, the nonlinear equations are resolved. In the numerical examples, the effects of initial impact velocity, the radius of the middle surface and the point of contact on the impact forces and displacements of the shells are discussed.