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

• Published in: MATEC web of conferences Vol. 149; p. 2087
• Main Authors: Azrar, A., Azrar, L., Aljinaidi, A. A.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Les Ulis EDP Sciences 2018
• Subjects: Bacteria; Boundary conditions; Carbon; Constitutive equations; Constitutive relationships; Deformation effects; Formulations; Frequency shift; Inertia; Nanotubes; Nonlocal elasticity; Object recognition; Rotation; Sensors; Shear deformation; Single wall carbon nanotubes; Timoshenko beams; Vibration analysis; Viruses
• ISSN: 2261-236X; 2274-7214; 2261-236X
• DOI: 10.1051/matecconf/201814902087

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.