International Journal of Structural Stability and Dynamics, 2025 (SCI-Expanded)
This research investigates the phase velocity properties in spherical shell structures reinforced with functionally graded plates (GPL) nanocomposites, by addressing the impact of higher-order displacement terms and the use of generalized differential quadrature (GDQ) in the radial direction, as well as free/forced wave propagation solution in another direction. The study evaluates the graded distribution of material properties of the shell structure, which results in a practical model that takes on how the distribution of stiffness and mass is influenced by the thickness of the shell. The governing equations were derived with higher-order displacement terms to incorporate transverse shear deformation and rotatory inertia, both of which were deemed pertinent at the wave propagation interface. The governing equations were solved using the GDQ method of discretization in nonlinear terms in the radial direction, which provided a user-friendly capacity for an accurate numerical result in wave propagation. The research assessed the impact of an uneven gradation response of the material in wave dispersion and wave velocity, taking into consideration geometries, shell dimensions, and boundary conditions. The study shows that the GPL reinforcement alters the wave propagation properties, compared to the conventional isotropic materials, while increasing the ability of the spherical shells to perform a task better. These results suggest there may be significant opportunities with GPL nanocomposites in these fields in regards to wave applications, such as vibration reduction and acoustic materials. The research reveals critical information regarding the dynamic behavior of composite structures, thereby expanding the understanding of the utilization of materials that generate an efficient wave response for engineering applications. The research reveals critical information regarding the dynamic behavior of composite structures, thereby expanding the understanding of the utilization of materials that generate an efficient wave response for engineering applications.