Circumferentially traveling radial loads on rings and cylinders

The problem of circumferentially traveling radial loads on rings and infinitely long cylindrical shells will be considered in this paper. Since strong transitional excitations are considered, the response involves moderately large rotations. Hence the governing shell equations are non-linear. To facilitate their solution, a modified version of the Linstedt-Poincaré perturbation procedure is employed. Based on this solution, several numerical results are presented. In addition to considering the effects of displacement induced non-linearity, special emphasis is given to the response behavior in load speed zones which mark transitions from sub- to supercritical waveforms.