Analysis of the buckling of carbon nanotube under self-weight: The power series and differential quadrature approaches

Abstract

ABSTRACT The buckling of carbon nanotube (CNT) under self-weight and resting on elastic foundations is examined in this article. The system is mathematically modeled as nonlocal Euler-Bernoulli beam. Two different numerical schemes are employed to calculate the values of buckling loads, namely power series method (PSM) and differential quadrature method (DQM). Both methods bring out buckling loads which are very close to each other for considered boundary conditions and for chosen values of nonlocal parameter. The spring constant plays an increasing role on the buckling loads for all boundary conditions while the shear constant decreases the buckling loads of cantilevered CNT.