Vibration analysis of carbon nanotube mass sensors considering both inertia and stiffness of the detected mass. Issue 3 (4th March 2022)

• Record Type: Journal Article
• Authors: Arda, Mustafa; Aydogdu, Metin
• Is Part Of: Mechanics based design of structures and machines. Volume 50:Issue 3(2022)
• Page Start: 841
• Page End: 857
• Publication Date: 2022-03-04
• Subjects: Elastic mass -- mass sensor -- nonlocal elasticity -- Ritz formulation -- nanobeam; Structural analysis (Engineering) -- Periodicals; Structural design -- Periodicals; 624.17
• DOI: 10.1080/15397734.2020.1728548
• Languages: English
• ISSNs: 1539-7734

Abstract

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.