Frequency Shift of Carbon-Nanotube-Based Mass Sensor Using Nonlocal Elasticity Theory

Abstract

The frequency equation of carbon-nanotube-based cantilever sensor with an attached mass is derived analytically using nonlocal elasticity theory. According to the equation, the relationship between the frequency shift of the sensor and the attached mass can be obtained. When the nonlocal effect is not taken into account, the variation of frequency shift with the attached mass on the sensor is compared with the previous study. According to this study, the result shows that the frequency shift of the sensor increases with increasing the attached mass. When the attached mass is small compared with that of the sensor, the nonlocal effect is obvious and increasing nonlocal parameter decreases the frequency shift of the sensor. In addition, when the location of the attached mass is closer to the free end, the frequency shift is more significant and that makes the sensor reveal more sensitive. When the attached mass is small, a high sensitivity is obtained.

Applicability of continuum based models in designing proper carbon nanotube based nanosensors

“…Among nonclassical continuum mechanics models, nonlocal elasticity theory [30] have attracted more attentions. Many researchers have utilized the nonlocal elasticity to investigate the mechanical characteristics of CNT resonators [31][32][33][34][35][36][37]. The nanoresonator with attached mass was modeled as a nonlocal Euler-Bernoulli cantilevered CNT laying on an elastic foundation [33].…”

“…The augmented mass was modeled as a point mass or as a distributed mass [35]. Furthermore, the preferred value of nonlocal parameter and the effects of different boundary conditions and various locations for attached mass were also investigated in [34,36], respectively.…”

Vibration analysis of carbon nanotube-based resonator using nonlocal elasticity theory

“…The molecular dynamics simulation is very time-consuming and remains formidable for largescale systems; therefore, the continuum mechanics or the molecular mechanics methods have been widely used to study the computation of large systems. [7][8][9][10][11]. Patel and Joshi [12,13] reported the dynamic analysis of doublewalled carbon nanotubes (DWCNTs) using atomistic finite element method (FEM).…”

Vibration insight of a nonlocal viscoelastic coupled multi-nanorod system

“…Therefore, the issue of vibration behavior of nanostructures elements has become very important from the practical point of view and it has wide application in nanotechnology. The nanodevices include biosensors [1][2][3][4][5][6][7], mass sensors [8][9][10], nanoresonators [11][12], gas sensors [13,14], nanoopto-mechanical system [15,16] etc. Nanomaterial's such as carbon nanotubes (CNTs) [17], boron nitride nanotubes (BNNTs) [18], zinc oxide nanotubes (ZnO) [19] and grapene sheet [20] are the basis material of many nanostructures and nanodevices.…”