Using continuous models in the analysis of vibrational spectra for carbon nanotubes |
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Authors: | G L Brovko Z G Tunguskova |
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Institution: | (1) Department of Mechanical and Industrial Engineering, 373 Snell Engineering Center Northeastern University, 360 Huntington Avenue, Boston, MA 02115, USA |
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Abstract: | The rod models of longitudinal, torsional, and bending vibrations are used to find the natural vibration spectra of a carbon
nanotube. The spectrum of natural radial vibrations is found using the membrane theory of cylindrical shells. The coefficients
of these models are chosen by comparing the results obtained on the basis of the micromodel with the Keating interaction potential
in the framework of the long-wave approximation and on the basis of a continuous model. It is shown that the spectra of longitudinal,
radial, and torsional vibrations of the carbon nanotube are of the same order of magnitude (the minimum frequency is about
1011 Hz), whereas the natural frequency spectrum for the bending vibrations is of two orders of magnitude less (the minimum frequency
is about 109 Hz). These spectra belong to the super-high frequency range. |
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Keywords: | |
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