Abstract
We study the vibration behavior of graphene sheets of different geometries. Therefore, plain graphene sheets as well as graphene sheets with added particles have been simulated in molecular dynamics environment and their static responses have been analyzed. Their natural frequencies have been extracted by applying the frequency domain decomposition (FDD) method, and their vibration characteristics have been specified and frequency sensitivities for different numbers of added particles have been obtained. By changing the sheet's geometry, while keeping the number of carbon atoms in the sheet constant, the influence of the geometry on the frequency sensitivity has also been investigated. The predicted vibration behavior of a square graphene sheet has been compared with results of well-established continuum mechanics theories demonstrating the accuracy and applicability of the used approach. Finally, by exploring the frequency sensitivity of each graphene sheet, we show that a sheet with triangular geometry has the highest frequency sensitivity and is therefore well suited for sensors of higher sensitivity.
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