Active control of nonlinear cylindrical shell vibrations under random excitation

An Analytical model is developed for active control of nonlinear flexural vibrations of cylindrical shells under random excitation. A velocity feedback control scheme is integrated into the governing equations of motion using discrete surface-bonded piezoelectric materials as collocated sensors/actuators. Donnell's thin shell theory is used to develop the governing equations of motion. A Monte Carlo simulation of stationary random processes, multi-mode Galerkin like approach, and numerical integration procedures are used to develop nonlinear response solutions of simply-supported cylindrical shells. Numerical results include time domain response histories, root mean square values and histograms of probability density. Parametric studies are performed to investigate the effect of nonlinearity, actuator placement, actuator number and size, and control gains.