On the influence of the shear deformation and boundary conditions on the transverse vibration of multi-walled carbon nanotubes |
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| Authors: | Daniel Ambrosini Fernanda de Borbón |
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| Affiliation: | 1. Department of Materials Science and Engineering, Delft University of Technology, 2628CD Delft, The Netherlands;2. Zernike Institute for Advanced Materials, University of Groningen, 9747 AG, Groningen, The Netherlands;1. Department of Materials Science and Engineering, Delft University of Technology, 2628 CD, Delft, The Netherlands;2. Department of Materials Science and Engineering, Saarland University, 66123, Saarbrücken, Germany;3. Department of Industrial Engineering, University of Padova, 35131, Padua, Italy;1. Jo?ef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia;2. Nanotul, Ltd., Teslova 30, 1000 Ljubljana, Slovenia |
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| Abstract: | The vibrational properties of multi-walled carbon nanotubes (MWCNTs) are studied, especially the influence of the shear deformation and the boundary conditions on the non-coaxial frequencies. A high order continuum beam model is proposed, which can be applied to study the transverse vibrations of MWCNTs, including those that could have initial deformations due to defects or external actions. Using the model it was found that the non-coaxial intertube frequencies are independent of the shear deformation and the boundary conditions. This result is important considering that the concentric structure of MWCNTs is a crucial geometrical characteristic and a non-coaxial vibration would affect their electronic and optical properties. |
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