Buckling analysis of truncated conical sandwich shells with Nano-FG face sheets using improved high-order theory

In this study, an improved high-order theory is presented for buckling analysis of sandwich conical shell with thin Nano-FG face sheets and homogenous soft core. First shear deformation theory (FSDT) used for the face sheets and cubic functions are assumed for the transverse and in-plane displacements of the core. The nonlinear Von-Karman type relations are used to obtain the strain components. The equilibrium equations are derived via principle of minimum potential energy. Analytical solution for static analysis of simply supported sandwich conical shells under axial in-plane compressive loads is performed by using Galerkin’s solution. Numerical modeling is made by ABAQUS finite element (FE) code. The comparisons show that the present results are in the good and better agreement with the results in the literature and the present FE results.

Keywords:

Truncated conical sandwich shell , buckling analysis , Nano- FGM