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.
Highlights
Detection of the mass of bio-molecules has become an increasing growing field in the biological and biomedical sciences
The nonlocal constitutive equations are used in the formulations and the CNT with different lengths, attached mass and the general boundary conditions are considered
The aim of this paper is analyzing the dynamic behavior of a CNT-based biosensor where the rotary inertia of the attached bio-object and of the CNT is taken into account
Summary
Detection of the mass of bio-molecules has become an increasing growing field in the biological and biomedical sciences. It is recognized as one of the key technologies for predictive and preventive medicine [1]. 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]. The effect of the physical and geometrical parameters are investigated
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