Non-linear Modes of Vibration of Cnts

Abstract eng:
The non-linear modes of vibration of carbon nanotubes are investigated. For that purpose, a [3 version finite element is implemented; it takes into account geometrically non-linear and non-local effects. For the first time in this problem, the free, steady-state, oscillations - which occur when the conservative system is vibrating in one of its modes of vibration — are not enforced to be harmonic by the solution procedure. Furthermore, not only the first, but also higher order modes are analysed. Modal interactions are found and it is shown that they are fundamental in some oscillations. Non-local effects are known to be influential in carbon nanotubes of very small length. However, it is demonstrated here that, because of modal interactions, non-local effects influence the non-linear oscillations of CNTs with longer lengths than what was previously believed.

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