Analysis of nonlinear dynamic stability of single‐walled carbon nanotubes in thermal environments. (1st March 2014)

• Record Type: Journal Article
• Authors: Fu, Yiming; Zhong, Jun
• Is Part Of: Micro & nano letters. Volume 9:Number 3(2014)
• Page Start: 175
• Page End: 179
• Publication Date: 2014-03-01
• Subjects: carbon nanotubes -- elasticity -- Galerkin method -- partial differential equations; nonlinear dynamic stability -- single‐walled carbon nanotubes -- thermal environments -- nonlocal Euler beam theory -- embedded SWCNT -- elastic medium -- nonlinear dynamic equations -- boundary conditions -- Hamilton variation principle -- Galerkin procedure -- governing nonlinear partial differential equation -- nonlinear ordinary differential equation -- incremental harmonic balance method -- principal unstable regions -- thermal loads -- nonlocal parameters -- C; Nanotechnology -- Periodicals; Nanostructures -- Periodicals; Microtechnology -- Periodicals; 620.5
• DOI: 10.1049/mnl.2013.0590
• Languages: English
• ISSNs: 1750-0443

Abstract

Abstract : Based on the non‐local Euler beam theory, the nonlinear dynamic stability of single‐walled carbon nanotubes (SWCNTs) embedded in an elastic medium including the thermal effects is presented. The nonlinear dynamic equations and the boundary conditions of the SWCNTs are obtained by using the Hamilton variation principle. By adopting the Galerkin procedure, the governing nonlinear partial differential equation is converted into a nonlinear ordinary differential equation, and then the incremental harmonic balance method is applied to obtain the principal unstable regions of the SWCNTs. In the numerical examples, the effects of the thermal loads, the non‐local parameters and the elastic medium on the nonlinear dynamic stability, respectively, are discussed.