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An efficient continuum model for CNTs–based bio–sensors

Payam Soltani's picture

Payam  Soltani, O. P. Narenjbon, M. M. Taherian and A. Farshidianfar

Abstract

 

The present paper proposes a new equation utilizing the nonlocal Euler-Bernoulli beam model to investigate the linear transverse vibration of an embedded single walled carbon nanotube (SWCNT) that incroprates an extra added nanoparticle. The elastic behavior of the surrounding medium is simulated by the Pasternak-type foundation model. Hamilton’s principle is applied to derive the governing equation and this equation is solved by Galerkin method. The obtained numerical results are compared with the molecular dynamics (MD) simulation and the local continuum approach, that are studied in previous literature, to validate the nonlocal continuum elasticity. Unlike the classical continuum, the present new sensor equation result has acceptable accuracy in comparison to the MD approximation. The results indicate that the fundamental frequencies are significantly dependent on the attached mass and boundary conditions. To study the effects of supported end conditions; three typical boundary conditions, namely clamped-clamped, clamped-pinned and pinned-pinned are simulated. It is found that an attached mass causes a noticeable reduction in natural frequencies, in particular for the clamped-clamped boundary condition, a stiff medium, stocky SWCNT and a small nonlocal parameter. In addition, when the position of the added nanoparticle is closer to the middle point of SWCNT length, the mass sensitivity is increased. Detailed results demonstrate that the present equation-based nonlocal continuum theory can be utilized for SWCNT-based mass sensor, efficiently. 

http://journals.cambridge.org/action/displayAbstract;jsessionid=8C81E5BDF10E74D744EAB7A733EC2E10.journals?fromPage=online&aid=8641830

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