The effect of thickness coordinate to radius ratio on free vibration of moderately thick and deep doubly curved cross-ply laminated shell

Abstract

This paper presents the free vibration analysis of moderately thick and deep doubly curved laminated shell with \(C^{0}\) finite element model based on higher-order shear deformation theory. The strain–displacement relationships are developed using the accurate equations of elastic deformation of shell structure. An eight-noded isoparametric shell element with nine degrees of freedom per node is used to formulate the present model. The effect of incorporating the ratio of thickness coordinate to radius of curvature (z / R) in the strain components has been taken into account in the present study. The numerical results in terms of natural frequencies obtained by the present formulations are compared with those available in the published literature to validate the proposed model.