“…(6) into the boundary conditions of Eqs. (9)(10)(11), the resonant frequencies of the CNT resonators with an attached concentrated mass can be determined by considering the nontrivial solutions.…”
“…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).…”
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.
“…(6) into the boundary conditions of Eqs. (9)(10)(11), the resonant frequencies of the CNT resonators with an attached concentrated mass can be determined by considering the nontrivial solutions.…”
“…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).…”
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.
“…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.…”
“…Hence, there is a strong motive among researchers to present efficient continuous methods in recent years. Beam like CNT resonator is considered as a vibrating classical Euler-Bernoulli beam [25][26][27][28]. The applicability of the classical Euler-Bernoulli beam model is inspected by comparison with the MD results [27].…”
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.