Some approximate buckling solutions of triple-walled carbon nanotube

The present investigation analyses the critical buckling studies of triple-walled carbon nanotube using Euler─Bernoulli model. study deals with three different boundary conditions, namely, simply-simply, clamped-clamped, and clamped-simply supported nanotube. Using Bubnov─Galerkin Petrov─Galerkin methods, continuum model estimates load. main advantage these two approximate methods is to obtain a quick valid result. first second Euler loads decrease increase length outer diameter ratio for conditions like supported. Interestingly, in results rise third all conditions. These provide reliable load estimation suitable polynomials.