Nonlocal Buckling Analysis of Single-Walled Carbon Nanotube Using Differential Transform Method (DTM)

Ravi Kumar, Sumit Deol

Abstract: In this work Differential Transform Method (DTM) is used to study the buckling behavior of the single walled carbon nanotube (SWCNT). The critical buckling load is being found out up to fourth degree accuracy for different boundary conditions, i. e. Clamped-Clamped, Simply Supported at ends, Clamped Hinged, and Clamped Free. Effect of different nonlocal parameters, different L/d ratio on critical buckling load is being discussed. The DTM is implemented for the nonlocal SWCNT analysis and this yields results with high degree of accuracy. Further, present method can be applied to linear and nonlinear problems.

Keywords: Buckling, DTM, nonlocal, SWCNT, L/d ratio