Analytical solutions to the free vibration of a double-walled carbon nanotube carrying a bacterium at its tip
Journal Article
·
· Journal of Applied Physics
- Department of Mechanical Engineering, California State University, Northridge, CA 91330-8348 (United States)
- 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
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