Designing of a High Sensitivity Graphene Mass Sensor for Measuring Different Mass Distributions Based on Nonlinear Frequency Shift

Graphene Sheets are used in this paper to design a high-sensitivity mass sensor. For this purpose, the nonlinear vibrations of carbon nanoplates on the Winkler and Pasternak foundation are investigated for use as a mass sensor. Kirchhoff's nonlocal plate theory is used to model the sensor's nanoplate, and the effect of concentrated masses on the arbitrary points of the plate is considered, then the Galerkin method is used to transform the partial governing equation into the ordinary differential equation. Next, the nonlinear frequency response of the system is obtained by the series method with multiple time scales. The nonlocal parameter that plays an important role in the behavior of the nano system is determined by comparing the results with other studies, and the natural frequency of the carbon nanoplate is verified with the molecular dynamic results. The dimensions of the nanoplate and the characteristics of the foundation used are such that the designed sensor is capable of detecting a single mass in the nanoplate center with five zeptograms. This ability to detect in different mass configurations has also been investigated and compared.