Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory |
| |
| Affiliation: | 1. Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran;2. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran;3. Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran;4. CIRTECH Institute, Ho Chi Minh City University of Technology (HUTECH), Vietnam;5. Department of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 05006, Republic of Korea |
| |
| Abstract: | The governing equation of wave motion of viscoelastic SWCNTs (single-walled carbon nanotubes) with surface effect under magnetic field is formulated on the basis of the nonlocal strain gradient theory. Based on the formulated equation of wave motion, the closed-form dispersion relation between the wave frequency (or phase velocity) and the wave number is derived. It is found that the size-dependent effects on the phase velocity may be ignored at low wave numbers, however, is significant at high wave numbers. Phase velocity can increase by decreasing damping or increasing the intensity of magnetic field. The damping ratio considering surface effect is larger than that without considering surface effect. Damping ratio can increase by increasing damping, increasing wave number, or decreasing the intensity of magnetic field. |
| |
| Keywords: | Magnetic field Wave propagation Nonlocal strain gradient theory Carbon nanotubes Viscoelasticity |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
