Vibration of Laminated Composite Shells with Cutouts and Concentrated Mass

The free vibration analysis of laminated composite cylindrical, spherical, hypar, saddle, and elliptical shells with cutouts and concentrated mass is presented by developing a finite element formulation based on third-order shear deformation theory (TSDT). The proposed model satisfies the zero transverse shear stress conditions at shell top and bottom without using a shear correction factor. This is the first finite element implementation of the TSDT to solve the vibration problem of laminated composite shells with cutouts and concentrated mass incorporating cross curvature effects in shells. Parametric vibration study has been performed for different shells with cutouts and concentrated mass.