Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads

Abstract

Abstract. Buckling of elastically restrained carbon nanotubes is studied subject to a\ncombination of uniformly distributed and concentrated compressive loads.\nGoverning equations are based on the nonlocal model of carbon nanotubes. Weak\nformulation of the problem is formulated and the Rayleigh quotients are\nobtained for distributed and concentrated axial loads. Numerical solutions\nare obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials.\nThe method of solution is verified by checking against results available in\nthe literature. The effect of the elastic restraints on the buckling load is\nstudied by counter plots in term of small-scale parameter and the spring\nconstants.