Small scale effect on vibration and wave power reflection in circular annular nanoplates

In this paper, the wave propagation technique is developed for analyzing the wave power reflection in circular annular nanoplates. Firstly, the propagation and reflection matrices are derived for circular annular nanoplates. Then, the obtained natural frequencies by these matrices are compared with the available literature. A set of natural frequency results is provided in a practical range of small scale for all nine possible combinations of classical boundary conditions. Finally, the effect of small scale on the reflected power of an incident wave upon different boundary conditions is investigated in details for circular annular nanoplates. The obtained hints via these matrices are valuable for future works correlated with wave power reflection and transmission in nanoscale structures.