Mathematical Modelling of Rotating Single-walled Carbon Nanotubes used in Nanoscale Rotational Actuators

Saggam Narendar

doi:10.14429/dsj.61.1091

Saggam Narendar Defence Research and Development Laboratory, Hyderabad

DOI: https://doi.org/10.14429/dsj.61.1091

Keywords: Carbon nanotubes, wave number, rotational speeds, wave frequency, centrifugal force, dispersion, non-local elasticity, group speed, phase speed

Abstract

In this study, a rotating single-walled carbon nanotube (SWCNT) is modelled as an Euler-Bernoulli beam using the non-local/non-classical continuum mechanics. These rotating SWCNTs are used in nanoscale rotational actuators. The mathematical model has been used to study the wave behaviour in rotating SWCNTs. The governingpartial differential equation for a uniform rotating beam is derived incorporating the non-local scale effects. The spatial variation in centrifugal force has been modelled in an average sense. Even though this averaging seems to be a crude approximation, one can use this as a powerful model in analysing the wave dispersion characteristics ofthe rotating CNTs. Spectrum and dispersion curves as a function of rotating speed and non-local scaling parameter were obtained. It has been shown that the dispersive ﬂexural wave tends to behave non-dispersively at very high rotation speeds. The numerical results have been simulated for a rotating SWCNT as a waveguide.

Defence Science Journal, 2011, 61(4), pp.317-324, DOI:http://dx.doi.org/10.14429/dsj.61.1091

Author Biography

Saggam Narendar, Defence Research and Development Laboratory, Hyderabad

Mr S. Narendar obtained his ME (Aerospace Engineering) from Indian Institute of Science, Bengaluru, in 2009. He is currently working as Scientist 'B' at Defence Research and Development Laboratory (DRDL) in the Directorate of Flight Structures, Hyderabad. He is working in the field of thermo-structural testing of missile structures. His research interests include non-local modelling of 1-D and 2-D nanostructures, stress and strain gradient non-local models, structural dynamics and wave propagation at Terahertz level, spectral finite element analysis, nanocomposites, non-local fluid structure interaction at nanoscale and damage mechanics. He has published 32 papers in various national/international journals and conferences. He is a member of American Nano Society.