Dynamic instability of vibrating carbon nanotubes near small layers of graphite sheets based on nonlocal continuum elasticity
- 作者: Sedighi H.1, Yaghootian A.1
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隶属关系:
- Mechanical Engineering Department, Faculty of Engineering
- 期: 卷 57, 编号 1 (2016)
- 页面: 90-100
- 栏目: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/158980
- DOI: https://doi.org/10.1134/S0021894416010107
- ID: 158980
如何引用文章
详细
This article presents a new asymptotic method to predict dynamic pull-in instability of nonlocal clamped–clamped carbon nanotubes (CNTs) near graphite sheets. Nonlinear governing equations of carbon nanotubes actuated by an electric field are derived. With due allowance for the van der Waals effects, the pull-in instability and the natural frequency–amplitude relationship are investigated by a powerful analytical method, namely, the parameter expansion method. It is demonstrated that retaining two terms in series expansions is sufficient to produce an acceptable solution. The obtained results from numerical methods verify the strength of the analytical procedure. The qualitative analysis of system dynamics shows that the equilibrium points of the autonomous system include center points and unstable saddle points. The phase portraits of the carbon nanotube actuator exhibit periodic and homoclinic orbits.
作者简介
H. Sedighi
Mechanical Engineering Department, Faculty of Engineering
编辑信件的主要联系方式.
Email: hmsedighi@gmail.com
伊朗伊斯兰共和国, Ahvaz
A. Yaghootian
Mechanical Engineering Department, Faculty of Engineering
Email: hmsedighi@gmail.com
伊朗伊斯兰共和国, Ahvaz