Buckling Analysis of Single Walled Carbon Nanotube on Winkler Foundation using DTM and Non-local Theory

摘要

In the present work, differential transformation method (DTM) is used to predict the buckling behaviour of Single Walled Carbon Nanotube (SWCNT) on Winkler foundation under various boundary conditions. Four different boundary conditions, namely, clamped-clamped, simply supported, clamped-hinged and clamped-free are used to study the critical buckling loads. Effects of (i) size of SWCNT, (ii) non-local parameter and (Hi) Winkler elastic modulus on non-local critical buckling loads are being investigated and discussed. The DTM is implemented for the non-local SWCNT analyses and this yields results with high degree of accuracy. Further, present method can be applied to linear and non-linear problems.