Effect of external pressure on the vibration analysis of higher order shear deformable FG-CNTRC spherical panels

The numerical investigation is performed on the vibration of the higher order shear deformable carbon nanotube reinforced composite (CNTRC) spherical panels subjected to the initial external pressure. The functionally graded nanocomposite is reinforced with the non-uniform distribution of CNTs. The problem is formulated following the higher order shear deformation shell theory (HSDT) within the variational differential quadrature numerical approach. For this purpose, the direct discretization of Hamilton's principle is carried out with the aid of differential quadrature operators. Derivation of the variational formulation of nanocomposite spherical panels based on the HSDT and studying the effects of external pressure on the vibration behavior are the main novel aspects of this research. Several numerical examples are provided to survey the impacts of geometrical and material factors on the vibration of pressurized functionally graded CNTRC spherical panels. It is shown that the internal pressure has the most influence on the vibrational behavior of the thicker panel.

Automated summary

This study numerically investigates the vibration of higher order shear deformable carbon nanotube reinforced composite (CNTRC) spherical panels under initial external pressure. The functionally graded nanocomposite is reinforced with non-uniformly distributed carbon nanotubes. The study formulates the problem using the higher order shear deformation shell theory (HSDT) and a variational differential quadrature numerical approach. The main novel aspects of this research include the derivation of the variational formulation of nanocomposite spherical panels based on HSDT and the investigation of the effects of external pressure on vibration behavior. Several numerical examples are provided to examine the impact of geometrical and material factors on the vibration of pressurized functionally graded CNTRC spherical panels. The results show that internal pressure has the greatest influence on the vibrational behavior of thicker panels.