Dynamic instability analysis of single walled Carbone Nano Tubes conveying fluid under generalized boundary conditions

A Azrar,A A Aljinaidi,L Azrar

doi:10.1051/matecconf/20120109002

Abstract

The dynamic instabilities of Carbon NanoTubes (CNTs) conveying fluid are modeled and numerically simulated based on the nonlocal elasticity theory. The small scale parameter and the fluid-tube interaction effects on the dynamic behaviors of the CNT-fluid system as well as the instabilities induced by the fluid-velocity are investigated. The critical fluid-velocity and frequency-amplitude relationships as well as the flutter and divergence instability types and the associated time responses can be obtained based on the presented methodological approach.

Highlights

Carbon nanotubes (CNTs) have become one of the most promising material and appear to possess extraordinary physical properties
In this paper a mathematical modeling and a methodological approach are developed for the dynamic instability analysis of Carbon NanoTubes (CNTs) conveying fluid
It was observed that the divergence instability occurs first and the flutter one at more large fluid-velocity

Summary

Introduction

Carbon nanotubes (CNTs) have become one of the most promising material and appear to possess extraordinary physical properties. Lee and Chang [2], studied the vibration analysis of a viscousfluid-conveying single-walled carbon nanotube embedded in an elastic medium. Chang and Lee [3] discussed the analysis of the vibration characteristic of fluid-conveying double-walled carbon nanotubes. Khosravian and Rafii-Tabar [4] proposed computational modeling of a non-viscous fluid flow in a multi-walled carbon nanotube using classical boundary conditions. Azrar et al [5,6] developed higher order free vibration analyses of single walled carbon nanotubes with various boundary condition types. The small scale parameter and the internal fluid interaction effects on the dynamic behaviors of the single walled CNT-fluid system as well as the instabilities induced by the fluid-velocity are investigated. Generalized boundary conditions described by translational and rotational springs at both ends are used. The critical fluid-velocity and frequencyamplitude relationships are given the corresponding instability types and time responses are obtained

Mathematical formulation

Governing dynamic equations

Frequency domain solution

Numerical results and discussions

4- Conclusion