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.