On the basis of a theoretical study, this research incorporates an eccentricity into a system of compressed double-walled carbon nanotubes (DWCNTs). In order to formulate the stability equations, a kinematic displacement with reference to the classical beam hypothesis is utilized. Furthermore, the influence of nanoscale size is taken into account with regard to the nonlocal approach of strain gradient, and the van der Waals interaction for both inner and outer tubes is also considered based on the Lennard–Jones model. Galerkin decomposition is employed to numerically deal with the governing equations. It is evidently demonstrated that the geometrical eccentricity remarkably affects the stability threshold and its impact is to increase the static stability of DWCNTs.

中文翻译：

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非同心双壁碳纳米管的屈曲分析

在理论研究的基础上，这项研究将偏心率纳入压缩双壁碳纳米管 (DWCNT) 系统中。为了制定稳定性方程，使用了参考经典梁假设的运动学位移。此外，对于应变梯度的非局部方法，考虑了纳米尺寸的影响，并且还基于 Lennard-Jones 模型考虑了内外管的范德华相互作用。伽辽金分解用于数值处理控制方程。显然，几何偏心率显着影响稳定性阈值，其影响是增加 DWCNT 的静态稳定性。