FLOW-INDUCED VIBRATION OF CARBON NANOTUBES
Flow induced vibrations of single and double-walled carbon nanotubes are studied using pipe models. The solutions to flow induced vibrations of pipes are well known. Buckling and flutter are two instabilities of concern. The problem formulation, governing differential equation and dimensionless frequency response for single-walled nanotubes are the similar to that of pipes conveying fluids. The van der Waals forces between the layers of multiwalled nanotubes are modeled as springs. This changes the governing differential equation and the dimensionless frequency response for the double-walled nanotubes. The following results are for fixed-fixed boundary conditions. The first instability encountered for the single-walled nanotubes was buckling. This occurred at a dimensionless velocity of 2ð. Larger mass ratios would buckle in the first mode then regain stability before the onset of flutter. Small mass ratios would buckle in the first and second modes followed by flutter. This corresponds with previous solutions to flow induced vibrations of pipes. Results for double-walled nanotubes show that buckling will also occur before the onset of flutter, but at larger dimensionless velocities then the single-walled nanotubes. The examples studied here regained stability in the first mode before the onset of flutter.
School:The University of Akron
School Location:USA - Ohio
Source Type:Master's Thesis
Keywords:carbon nanotube vibration flow induced
Date of Publication:01/01/2006