Monday, 11 October 2004 - 2:40 PM

This presentation is part of : Active Materials

Timoshenko Beam Model For Free and Forced Vibrations of Multi-walled Carbon Nanotubes

S. Graham Kelly1, Ernian Pan2, Hari Parthasarathi, and Sathish Martin. (1) Dept. of Mechanical Engineering, University of Akron, Akron, OH 44325, (2) Dept. of Civil Engineering, University of Akron, Akron, OH 44325

A series of Timoshenko beams connected through elastic layers are used to model the vibrations of a multi-walled carbon nanotube. The elastic layers model the interatomic Van der Waals forces. The model is used to predict the natural frequencies of coaxial and non coaxial modes for double-walled and triple-walled nanotubes. Differences in the natural frequencies and mode shapes between the Timoshenko beam model and the simpler Euler-Bernoulli beam model are identified and explained. The theory is used to develop a modal analysis procedure to study the forced vibrations of multi-walled nanotubes.

Back to Active Materials
Back to SES Abstracts

Back to The 41st Annual SES Technical Meeting