Nonlinear stability and vibration of imperfect CNTs by Doublet mechanics

作者：

Highlights：

• Exploited a bottom to up modelling nano-mechanics theory to investigate the nonlinear stability of CNTs.

• Micro-strain and micro-stress effects are included by Doublet Mechanics theory.

• The nonclassical sixth order nonlinear integro-partial-differential equation of CNTs is derived.

• Analytical solutions are derived for static and dynamic analysis.

• Static and dynamic stablity of perfect and imperfect CNTs are investigated.

摘要

•Exploited a bottom to up modelling nano-mechanics theory to investigate the nonlinear stability of CNTs.•Micro-strain and micro-stress effects are included by Doublet Mechanics theory.•The nonclassical sixth order nonlinear integro-partial-differential equation of CNTs is derived.•Analytical solutions are derived for static and dynamic analysis.•Static and dynamic stablity of perfect and imperfect CNTs are investigated.

论文关键词：Perfect and Imperfect CNTs,Doublet mechanics modeling,Macro/Micro-strain,Static stability,Natural frequencies,Analytical solutions

论文评审过程：Received 30 November 2019, Accepted 12 April 2020, Available online 19 May 2020, Version of Record 19 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125311