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

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.
Authors:
 [1] ;  [2]
  1. Department of Mechanical Engineering, California State University, Northridge, CA 91330-8348 (United States)
  2. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991 (United States)
Publication Date:
OSTI Identifier:
22257804
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 114; Journal Issue: 17; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; BACTERIA; BEAMS; CARBON NANOTUBES; EQUATIONS; MOMENT OF INERTIA