Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment

The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse and in-plane excitations are studied for the first time in this paper. Given first-order shear deformation theory Hamilton principle, partial differential governing equations motion derived with considering von Karman geometric nonlinearity. By employing Galerkin discretization procedure, diverted to a set coupled ordinary motion. Based on case 1 : 2 internal resonance principal resonance-1/2 subharmonic parametric resonance, multiscale method perturbation analysis is employed precisely acquire four-dimensional averaged equations. From resonant response dynamic simulation, we discovered that unstable regions can be narrowed by decreasing external excitation or increasing magnetic intensity, their working frequency range expanded reducing excitation. Moreover, different responses shell acquired controlling stiffener number, size, aspect ratio. presented approach paper provide an efficient analytical framework dynamics theories will shed light complex structure design test engineering.