Dynamic response and active control of a composite cylindrical shell with piezoelectric shear actuators

This paper presents exact solutions of the dynamic responses of a fully coupled hybrid piezoelastic cylindrical shell with piezoelectric shear actuators (PSAs). The fundamental response quantities of each layer in the shell are expanded into a double Fourier series. A state-space method is used to represent the response quantities using eight first-order homogeneous ordinary differential equations with variable coefficients. The solutions are then obtained by the Frobenius method. Numerical examples are presented to show the effects of thickness ratio and location of PSAs on the transverse response of the shell subjected to mechanical and electric loadings. Finally, an active vibration control model for a simply supported laminated cylindrical shell with piezoelectric shear sensor and actuator layers is established using the negative velocity feedback control strategy. Numerical results are presented to verify the feasibility of the control model.