Dynamic Stability of A Single Walled Carbon Nanotube, Embedded in A Polymer Matrix and Conveying A Pulsatile Flow

Abstract The dynamic stability of a single-walled carbon nanotube embedded in a polymer matrix is investigated using the Euler-Bernoulli beam model. The nanotube conveys a pulsatile flow, where the fluid velocity is a harmonic function of time. The surrounding elastic medium (such as polymer) is modelled as a Winkler elastic foundation. The harmonic variation of the fluid velocity enables the application of Floquet theory for the dynamic stability analysis of the system.

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