Nonlinear Response of Double-Wall Cylindrical Shells Subjected to Random Excitation

An analytical model is presented to predict the nonlinear response of a double wall sandwich cylindrical shell system subjected to random excitation. Nonlinear spring-dashpot models are integrated into the system to characterize the behavior of the soft core, Donnell's thin shell theory is used to develop the governing nonlinear equations of motion. A Monte Carlo simulation of stationary random processes, multi-mode Galerkin-like approach, and numerical integration procedures are used to develop linear and nonlinear response solutions of simply-supported cylindrical shells. Numerical results include time domain response histories, root mean square values and response spectral densities.