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 combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are obtained for distributed and concentrated axial loads. Numerical solutions are obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials. The method of solution is verified by checking against results available in the literature. The effect of the elastic restraints on the buckling load is studied by counter plots in term of small-scale parameter and the spring constants.

Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type

“…where 𝑞 (𝑥), 𝑞 (𝑥) and 𝑞 (𝑥) are the distributed loads and 𝑞 (𝑥) corresponds to the distributed torque. Finally, according to Robinson and Adali [6], the variation of the work due to the Winkler-Pasternak elastic foundation is given by…”

Simulation and fabrication of carbon nanotube–nanoparticle interconnected structures

“…Traditional semiconductor principles cannot explain this phenomenon. In recent years, scientists have proposed a method of using carbon nanotubes instead of existing wires to achieve the functionality of connected nanodevices (Mohsin et al, 2013;Bocko et al, 2018;Robinson and Adali, 2019). Carbon nanotube wires can be used to connect microelectrodes and macroscopic devices owing to their excellent electrical conductivity and microscopic properties, which can build the construction of cross-scale systems to satisfy the high-sensitivity and high-performance functions required in the fields of biology and information (Wang et al, 2013;Yuan et al, 2018;Bocko and Lengvarský, 2017).…”