| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1544949 | Physica E: Low-dimensional Systems and Nanostructures | 2013 | 6 Pages |
In the present work, nonlocal Euler–Bernoulli beam theory is used to investigate the wave propagation in zigzag double-walled carbon nanotube (DWCNT) embedded in an elastic medium. Winkler-type foundation model is employed to simulate the interaction of the DWCNT with the surrounding elastic medium. The DWCNTs are considered as two nanotube shells coupled through the van der Waals interaction between them. It is noticed in the presented study that the equivalent Young’s modulus for zigzag DWCNT is derived using an energy-equivalent model. Influences of nonlocal effects, the chirality of zigzag DWCNT, Winkler modulus parameter, and aspect ratio on the frequency of DWCNT are analyzed and discussed. The new features of the vibration behavior of zigzag DWCNTs embedded in an elastic medium and some meaningful results in this paper are helpful for the application and the design of nanostructures in which zigzag DWCNTs act as basic elements.
Graphical abstractThe influence of the chiral vector on the frequency of zigzag DWCNT embedded in an elastic medium is of concern. The problem is studied by using nonlocal elasticity theory.Figure optionsDownload full-size imageDownload as PowerPoint slideHighlights► Wave propagation in zigzag DWCNT embedded in an elastic medium is studied. ► The influence of nonlocality on the vibration characteristics of DCWNTs is examined. ► The dependence of the frequencies on the chirality of zigzag carbon nanotube is shown. ► The equivalent Young’s modulus and shear modulus for zigzag SWCNT are derived using an energy-equivalent model.
