Free Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on FEA

Abstract

The following study explored the free vibration characteristics of a rectangular spherical shell. An efficient formulation developed Higher-order shear deformation theory (HSDT), conjunction with the numerical procedure (FEM). To determine the desired volume fraction obtained through the Four-parameter power-law distribution considered on the top surface is ceramic-rich. In contrast, the base surface is metal-rich. Parameters distribution gives design flexibility and different kinds of material profiles exhibited. The efficiency of the model is verified by performing convergence studies and comparison tests. The numerical results compared with earlier available literature solutions to authenticate the stability and exactness of the current approach, and good agreement perceived. Illustrated numerical examples to find the influence on the appropriate selection of the four-parameters, the mechanical behavior of the composition and effects on geometrical parameters, skew angles, different boundary conditions on their non-dimensional frequency responses examined in detail.