| Popis: |
In this research, an analytical solution is developed for the analysis of free vibration of functionally graded composite plates reinforced by carbon-nanotube submerged in a fluid medium. Here, the distribution of carbon-nanotube along the direction of the plate thickness may be functionally graded or uniform. Hypotheses are made for the fluid such as incompressible, ideal, irrotational, and inviscid. Thus, the impacts of free-surface waves and hydrostatic pressure are not considered. Based on the four-variable shear deformation refined plate theory (HSDT4), the set of governing equations for the fluid-plates system is obtained by implementing Hamilton’s principle. The potential of fluid velocity is first derived from the plates-fluid system’s boundary conditions and then employed to calibrate added mass. The Navier’s solution for the plates with simply supported boundary conditions at all four edges is derived. Several numerical examples validate the accuracy of the presented solution. Some new parametric studies regarding the effects of different material properties, boundary conditions, and geometrical parameters on the plates’ free vibration responses are examined and discussed in detail. |
