Issue
EPL
Volume 88, Number 2, October 2009
Article Number 26006
Number of page(s) 6
Section Condensed Matter: Structural, Mechanical and Thermal Properties
DOI http://dx.doi.org/10.1209/0295-5075/88/26006
Published online 10 November 2009
EPL, 88 (2009) 26006
DOI: 10.1209/0295-5075/88/26006

The invariabilities in the free vibrations of carbon nanotube networks with identical boundary conditions

Ying Li1, XinMing Qiu1, Mu Wang1, Yajun Yin1, 2, Fan Yang1 and Qinshan Fan2

1   AML, Department of Engineering Mechanics, School of Aerospace, Tsinghua University - 100084, Beijing, PRC
2   Division of Mechanics, Nanjing University of Technology - 210009, Nanjing, PRC

yinyj@tsinghua.edu.cn

received 7 September 2009; accepted in final form 9 October 2009; published October 2009
published online 10 November 2009

Abstract
Two kinds of planar, well-ordered carbon nanotube (CNT) networks, Super-Graphene and Super-Square CNT networks, are theoretically built by straight single-walled carbon nanotubes (SWNTs) and corresponding CNT junctions. The free vibrations of these CNT networks are explored by the molecular structural mechanics method. The natural frequencies of these CNT networks with four edges fully clamped are found only dependent on the side lengths but independent of the geometries and topologies of the networks. As the similarity between the continuum plate and these CNT networks, the vibration theory of the plate could be successfully applied to explain the geometry- and topology-independent behaviors of these networks. Such independent behaviors still exist when the biaxial pre-strain is introduced into the CNT networks.

PACS
61.48.De - Structure of carbon nanotubes, boron nanotubes, and closely related graphitelike systems.
62.25.Jk - Mechanical modes of vibration.
63.22.Gn - Nanotubes and nanowires.

© EPLA 2009