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Rigorous van der Waals effect on vibration characteristics of multi-walled carbon nanotubes under a transverse magnetic field |
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| Authors: | X Wang JX ShenY Liu GG ShenG Lu |
| Institution: | a School of Naval Architecture, Ocean and Civil Engineering (State Key Laboratory of Ocean Engineering), Shanghai Jiaotong University, Shanghai 200240, People’s Republic of China b School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, Hunan 410076, People’s Republic of China c School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore |
| Abstract: | An analytical method is presented to investigate rigorous van der Waals interaction effect on vibration characteristics of multi-walled carbon nanotubes embedded in matrix under a transverse magnetic field. Each of the concentric tubes of multiwall carbon nanotubes is considered as an individual elastic shell and coupled with any two walls through a rigorous van der Waals interaction being dependent on the change of interlayer spacing and the radii of tubes. Results show that the rigorous van der Waals interaction effect makes the lowest magneto-vibration frequency of multi-walled carbon nanotubes decrease and the highest magneto-vibration frequency increase. The effect of rigorous van der Waals interaction on magneto-elastic vibrations of multi-walled carbon nanotubes is dependent on the transverse magnetic strength and the matrix constrained stiffness. |
| Keywords: | Multi-walled carbon nanotubes Rigorous van der Waals interaction Transverse magnetic field Magneto-vibrations |
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