Vibration analysis of carbon nanotube mass sensors considering both inertia and stiffness of the detected mass
Mustafa Arda, Metin Aydoğdu
Abstract
Dynamic response of a carbon nanotube mass sensor has been analyzed in the present study. In addition to the previous works, the detected mass has been assumed as an elastic body which has its own stiffness. Euler-Bernoulli beam model has been used in obtaining equation of motion of the nanobeam mass sensor with Hamilton principle and nonlocal elasticity theory. Ritz method has been used in the solution. Proposed model has been validated with comparing present and previous results of macro scale mass-sensor studies. The effect of mass and stiffness ratio, position of the detected mass and nonlocal parameter on the vibration frequency of nanobeam mass sensor has been investigated. It is obtained that consideration of the stiffness of the detected mass adds a new frequency to the spectrum of the nanobeam and shifts the nanobeam’s frequencies to the one higher adjacent mode. Present results could be useful at design of biological tissue or virus sensors.