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

Abstract

Carbon nanotubes (CNTs) are nanomaterials with extremely favorable mass sensor properties. In this paper, we propose that CNTs under clamped boundary condition and an axial tensile load are considered as CNTbased resonators. Moreover, the resonant frequencies and frequency shifts of the CNTs with attached nanomass are investigated based on vibration analysis, which used the nonlocal Euler-Bernoulli beam model. Using the present methods, we analyze and discuss the effects of the aspect ratio, the concentrated mass and the axial force on the resonant frequency of the CNTs. The results indicate that the CNT beam under the axial tensile loads could provide higher sensitivity as nanomechanical mass sensor.

Carbon Nanotube Structure Vibration Based on Non-local Elasticity

“…In 1977, Eringen [7] improves the relationship between the molecular dynamics (MD) and his theory of non-local elasticity, which are identical. Many researches had been elaborated based on non-local elasticity investigated the vibrational wave propagation of CNT's [8][9][10][11][12][13][14]; in this paper the bending vibration of a pinned-pinned SWCNT has been investigated.…”

Analysis of Vibration Frequency of Carbon Nanotubes used as Nano-Force Sensors Considering Clamped Boundary Condition

“…The atomic force microscope (AFM) has attracted great interest in many scientific and technological fields, including measuring the force or potential energy between a small tip and a sample. Since pioneering work by Iijima in 1991 [1], carbon nanotubes (CNTs) have been the subject of numerous studies, such as one of the most promising nano-sensor materials [2][3][4][5][6]. The applications of CNTs used as different sensors [6][7][8] have been broad due to their nanoscale dimensions and unique properties.…”

Carbon Nanotube-Based Nanomechanical Sensor: Theoretical Analysis of Mechanical and Vibrational Properties

“…In order to increase sensitivity of the resonators, the author Natsuki and co-workers proposed using a double end fixed CNT with applied tensile loads and investigated the possibility of application [42,43]. Figure 7 shows a schematic diagram of the clamped CNT beam, subjected to an axial force and carrying an attached concentrated mass m c .…”

“…The frequency shift of the CNT resonator for an attached mass larger than Furthermore, in Ref. [43], Natsuki et al proposed using the nonlocal Euler-Bernoulli beam model for investigating the resonant frequency of CNT resonators. The nonlocal elasticity theory was developed to incorporate the size effect by introducing an intrinsic length scale, which gave the information about the forces between atoms.…”