Displacements and Stresses in rotating FGM pressurized thick hollow cylinder with exponentially varying properties based on FSDT

Using the infinitesimal theory of elasticity and analytical formulation, displacements and stresses in a rotating functionally graded (FGM) pressurized thick-walled hollow circular cylindrical shell are obtained based on the first-order shear deformation theory (FSDT). The material properties are assumed to be isotropic heterogeneous with constant Poisson’s ratio and radially exponentially varying modulus of elasticity and density. At first, general governing differential equations of axisymmetric thick-walled rotating FGM cylindrical shell with constant angular speed under internal uniform pressure are derived by the usage of FSDT and the virtual work principle. Then the set of non-homogenous linear differential equations with constant coefficients are solved under the generalized clamped-clamped boundary conditions and the effect of mechanical and rotational loading and inhomogeneity on the stresses and displacements was investigated. The results are compared with the findings of both FSDT and finite element method (FEM). The results show good agreements between two different methods.