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

Journal Article · Thu Nov 07 00:00:00 EST 2013 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4829014· OSTI ID:22257804

Storch, Joel A. ^[1]; Elishakoff, Isaac ^[2]

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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)

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.

• OSTI ID: 22257804
• Journal Information: Journal of Applied Physics, Vol. 114, Issue 17; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BACTERIA
BEAMS
CARBON NANOTUBES
EQUATIONS
MOMENT OF INERTIA