Abstract
Fixed-free single-walled carbon nanotubes (SWCNTs) have attracted a lot of interest in recent years due to their suitability for a wide range of applications, such as field emission and vacuum microelectronic devices, nanosensors, and nanoactuators. Based on a cantilever beam-bending model with a rigid mass at the free end and mode analysis, an analytical solution is developed in the present study to deal with the resonant frequency and mode shapes of a SWCNT- based mass sensor. The resonant frequency shift and mode shape of the fixed-free SWCNTs caused by the addition of a nanoscale particle to the beam tip are examined in order to explore the suitability of SWCNTs as a mass detector device. The simulation results reveal that the volume of the added particle has little effect on the first resonant frequency. In contrast, the second resonant frequency decreases with increasing the volume of the added particle. Furthermore, the resonant frequency shift of the first mode is very obvious for the amount of added mass, and the second resonant frequency decreases rapidly with increasing volume of added particle. Therefore, the first and second resonant frequencies can be used in the measurement of the mass of added particle and its volume, respectively.
Highlights
Since their discovery in 1991 by Ijima, carbon nanotubes (CNTs) have demonstrated potential for use in a diverse range of applications, such as nanobiological devices and nanomechanical systems
Based on a cantilever beam-bending model with a rigid mass at the free end and mode analysis, an analytical solution is developed in the present study to deal with the resonant frequency and mode shapes of a SWCNTbased mass sensor
The resonant frequency shift and mode shape of the fixed-free single-walled CNTs (SWCNTs) caused by the addition of a nanoscale particle to the beam tip are examined in order to explore the suitability of SWCNTs as a mass detector device
Summary
Since their discovery in 1991 by Ijima, carbon nanotubes (CNTs) have demonstrated potential for use in a diverse range of applications, such as nanobiological devices and nanomechanical systems Due to their remarkable mechanical, physical, and chemical properties, carbon nanotubes may be used as fluid conveyers or potential reinforcements in nanocomposite materials [1,2,3]. Wu et al [13] simulated the mechanical responses of individual CNTs treated as cylindrical beams or thin shells using the continuum mechanics method with commercial FEM software. These studies adopted either experimental or numerical approaches, which are inherently time consuming and expensive. The second resonant frequency decreases with increasing the volume of the added particle. The first and second resonant frequencies can be used in the measurement of attached mass of added mass and its volume, respectively
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