Dynamical Response of Hyper-Elastic Cylindrical Shells Under Periodic Load

The dynamical response such as the motion and destruction of hyper-elastic cylindrical shells subjected to periodic or a suddenly applied constant load on the inner surface are studied within the framework of finite elasto-dynamics.It was proved that there exists a certain critical value for the internal load through the numerical computing and dynamic qualitative analysis of the nonlinear differential equation that describes the motion of the inner surface of the shell.The motion of the shell is nonlinear periodic or quas-i periodic oscillation when the mean load of the periodic load or the constant load is less than its critical value.But the shell will be destroyed when the load exceeds the critical value.The solution of the static equilibrium problem is the fixed point for the dynamical response of the corresponding system under a suddenly applied constant load.The property of the fixed point is related to the property of the dynamical solution and the motion of the shell.The effects of the thickness and the load parameters on the critical value and the oscillation of the shell were discussed.