Active control of free and forced vibration of rotating laminated composite cylindrical shells embedded with magnetostrictive layers based on classical shell theory

In this study, active control of free and forced vibration of rotating thin laminated composite cylindrical shells embedded with two magnetostrictive layers is investigated by means of classical shell theory. The shell is subjected to harmonic load exerted to inner surface of the shell in thickness direction. The velocity feedback control method is used in order to obtain the control law. The vibration equations of the rotating cylindrical shell are extracted by means of Hamilton principle while the effects of initial hoop tension, centrifugal and Coriolis accelerations are considered. The partial differential equations of the rotating cylindrical shell are converted to ordinary differential equations by means of modified Galerkin method. The displacement of the shell is obtained using modal analysis. The free vibration results of this study are validated by comparison with the results of published literature. Also, the forced vibration result is compared with the result of fourth order Runge-Kutta method to prove its correctness. Finally, the effects of several parameters including circumferential wave number, rotational velocity, the whole thickness of orthotropic layers, the whole thickness of orthotropic layers, length, the amplitude and exciting frequency of the load on the vibration characteristics of the rotating cylindrical shell are investigated.