Nonlocal Timoshenko beam theory for vibration of carbon nanotube-based biosensor

Shen, Zhi-Bin; Sheng, Liping; Li, Xian-Fang; Tang, Guojian

doi:10.1016/j.physe.2012.01.005

Cited by 61 publications

(23 citation statements)

References 35 publications

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“…The CNT is ultra light and is highly sensitive to its environment changes. Therefore, many researchers have explored the potential of using CNT as nano mechanical resonators in atomic-scale mass sensor [2,3]. Length scale effect analysis on vibration behavior of single walled carbon nanotubes with generalized boundary conditions and CNT conveying fluid have been elaborated by Azrar et al [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of carbon nanotubes-based zeptogram masses sensors and taking into account their rotatory inertia

Azrar

Aljinaidi

2018

MATEC Web Conf.

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Abstract. In this research work, the transverse vibration behaviour of single-walled carbon nanotubes (SCNT) based mass sensors is studied using the Timoshenko beam and nonlocal elasticity theories. The nonlocal constitutive equations are used in the formulations and the CNT with different lengths, attached mass (viruses and bacteria) and the general boundary conditions are considered. The dimensionless frequencies and associated modes are obtained for one and two attached masses and different boundary conditions. The effects of transverse shear deformation and rotatory inertia, nonlocal parameter, length of the carbon nanotubes, and attached mass and its location are investigated in detail for each considered problem. The relationship between the frequencies and mode shapes of the sensor and the attached zeptogramme masses are obtained. The sensing devices for biological objects including viruses and bacteria can be elaborated based on the developed sensitivity and frequency shift methodological approach.

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Section: Introductionmentioning

confidence: 99%

Vibration analysis of carbon nanotubes-based zeptogram masses sensors and taking into account their rotatory inertia

Azrar

Aljinaidi

2018

MATEC Web Conf.

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“…Such a system is being increasingly used in the field of nanodevices like biosensors [1][2][3][4][5], mass sensors [6][7][8][9], nanobeam resonators [10][11][12][13], and nanoactuators [14,15]. Therefore, the issue of vibration and stability of MNBS is important from the practical point of view and it has wide application in nanoengineering practice.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium

Karličić

Kozić

Pavlović

2016

Applied Mathematical Modelling

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Highlights Multiple-nanobeam system is analyzed by Eringen nonlocal theory.  The nonlocal Euler -Bernoulli beam theory is proposed in this study.  The MNBS is simply supported and under the influence of axial load.  The natural frequencies and the critical buckling load are obtained. Abstract:The nonlocal Euler -Bernoulli beam theory is proposed for the free vibration and stability analyses of a multiple-nanobeam system (MNBS) using the Eringen nonlocal continuum theory. It is assumed that every nanobeam in the system of multiple-nanobeams is simply supported and under the influence of axial load. The MNBS is embedded in the Winkler elastic medium. The motion of the system is described by a set of m homogeneous partial differential equations, which are derived by using D'Alembert's principle. Analytical solutions of free vibrations and buckling for a multiple-nanobeam system are obtained by using the classical Bernoulli-Fourier method and trigonometric method, for the case of the identical nanobeam. To validate the accuracy of application of trigonometric methods for a determined natural frequency and buckling load of MNBS, numerical solution of the characteristic polynomial are also conducted for a different number of nanobeams. Moreover, the finite difference method is employed to solve the system of partial differential equations of motion of MNBS, where good agreement with the analytical results is achieved. Numerical studies show the effect of the nonlocal parameter, stiffness of Winkler elastic medium and number of nanobeams for the free transversal vibration and buckling of MNBS. The presented analyses are very useful for the study and design of the nanoelectromechanical systems such as nano-resonators.

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“…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).…”

Section: Introductionmentioning

confidence: 99%

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

Natsuki

Matsuyama

2015

Appl. Phys. A

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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.

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Nonlocal Timoshenko beam theory for vibration of carbon nanotube-based biosensor

Cited by 61 publications

References 35 publications

Vibration analysis of carbon nanotubes-based zeptogram masses sensors and taking into account their rotatory inertia

Vibration analysis of carbon nanotubes-based zeptogram masses sensors and taking into account their rotatory inertia

Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium

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

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