Free vibration Study of simply supported cylindrical laminateds panels with piezoelectric layer

In the present study, vibration of cylindrical laminates with different layers and angles were studied. In order to actuate and polarize in radial direction, a piezoelectric layer was located at outer surface of composite shell. Laminates were assumed long enough so that plane strain state analysis in 2D can be used properly. In order to satisfy the boundary conditions, variables in terms of Fourier series were obtained. The governing equations reduced to ordinary differential equations at thickness direction and by power series method, the exact solution equations were obtained, unknown coefficient were calculated with rapid convergence. By using the matrix transfer method, vibration response of composite shell were obtained. Finally, results for the first seven modes of natural frequency of multi layer cylindrical shell were obtained. In addition, for both state of one single piezoelectric layer and five layer shell at the end, variable response such as displacement, principal stress and strain were achieved.