On the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load

Buckling analysis of freely-supported functionally graded truncated conical shells under external pressures

“…The functionally graded truncated conical shell is assumed to be freely supported, so the equations describing the freely supported boundary conditions can be written as follows [45]:…”

“…The compatibility equation on the reference surface of truncated conical shells is as follows [45,51]:…”

“…Based on the volume fraction definition and law of mixtures, the effective material properties of the FG truncated conical shells are defined as [14]: The shear stresses of FG conical shells in the framework of the STD vary depending on the thickness coordinate as [45][46][47][48][49][50]: …”

“…Asemi et al [44] studied the elastic behavior of functionally graded thick truncated cone under hydrostatic internal pressure using finite element method based on Rayleigh-Ritz energy formulation. Sofiyev [45] examined the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load.…”

The Dynamic Response and Vibration of Functionally Graded Carbon Nanotube-Reinforced Composite (FG-CNTRC) Truncated Conical Shells Resting on Elastic Foundations

“…For instance, they are used for aircraft, satellites, submarines, and water-borne ballistic missiles; in civil engineering, they are frequently used in containment vessels in elevated water tanks. In the open-source literature, there are several authors who have studied linear and nonlinear conical cones and truncated cones made of different materials; the best-known author is Sofiyev, some of whose investigations are reported in the literature [ 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 ].…”