Free Vibration Analysis of Rotating Composite Laminated Conical, Cylindrical Shells and Annular Plates Using Dynamic Stiffness Method

Free vibration of conical, cylindrical shell and annular plates with rotating composite laminates was analyzed by the dynamic stiffness method. The theoretical formulation combining the effect of the initial loop tension by the centrifugal acceleration and the Coriolis acceleration along the rotating shells was derived based on Hamilton’s principle and the first-order shear deformation theory. To ensure numerical efficiency, the shell structure was divided into several segments. The state vector consists of the force compositions and displacement components of the shell segments, and the dynamic stiffness matrix for the segment was derived from the relationship between the state vector and the equations derived from it. To verify the accuracy and reliability of the proposed method, a convergence study was carried out by comparing with the results of the previous works. The results of vibration analysis for various numerical examples were presented for rotating composite laminated conical, cylindrical shell and annular plates with different rotational speeds, geometries and boundary conditions.