Analytical solutions to the free vibration of a double-walled carbon nanotube carrying a bacterium at its tip

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Journal of Applied Physics

Publication Status

Version of Record

Abstract

We calculate the natural frequencies and mode shapes of a cantilevered double-walled carbon nanotube carrying a rigid body - representative of a bacterium or virus - at the tip of the outer nanotube. By idealizing the nanotubes as Bernoulli-Euler beams, we are able to obtain exact expressions for both the mode shapes and characteristic frequency equation. Separate analyses are performed for the special case of a concentrated tip mass and the more complicated situation where the tip body also exhibits inertia and mass center offset from the beam tip. © 2013 AIP Publishing LLC.

DOI

10.1063/1.4829014

Publication Date

11-7-2013

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