Study on Effect of Boundary Conditions in Transient Dynamic Stress Analysis of Thick Cylindrical Shells under Internal Moving Pressure

This study presents a new analytic solution for transient elasto-dynamic structural response of cylindrical shells to internal moving load under different boundary conditions. The equations of motion of a thick shell are used and the effects of transverse shear and rotary inertia are considered. The general form of the presented formulations and the solution method are applicable to many theoretical and practical problems. However, the formulation is adjusted for gaseous detonation loading. The pressure history of the detonation loading, which consists of a shock wave and a reaction zone, is represented by an exponential approximation to the Taylor-Zeldovich model. The presented analytic solution is validated through comparison with the available experimental data from the literature and finite element simulations. Representative analyses are carried out for an experimental detonation tube subjected to different boundary conditions including simply-supported, clamped-clamped, and clamped-free. Results show that obtained vibrational behavior can be highly affected by the types of boundary conditions especially for locations near the end of the tube, where the interference between the forward traveling waves and the reflected waves is quite significant.