Vibration and instability analysis of SWCNTs conveying fluid based on Reddy and couplestress theory

In this article, vibration and instability analysis ofembedded single-walled carbon nanotubes (SWCNTs)conveying fluid in an elastic medium is investigated.SWCNT is modeled as the Reddy beam theory andmodified couple stress theory. The elastic medium issimulated by visco-Pasternak foundation. The governingequations are obtained using Hamilton's principle. Thedifferential quadrature method (DQM) is applied forobtaining the frequency and critical fluid velocity ofsystem. The detailed parametric study is conducted,focusing on the combined effects of the nonlocalparameter, aspect ratio, visco-Pasternak foundation andfluid velocity on the vibration and instability ofSWCNTs. Results show that increase aspect ratioengender instability to system. In addition, type offoundation is an effective parameter for controllingvibration and stability of system.

کلیدواژه ها:

Vibration ، SWCNT ، viscose fluid ، Reddybeam theory ، couple stress theory.