A nonlocal Levinson beam model for free vibration analysis of zigzag single-walled carbon nanotubes including thermal effects |
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| Authors: | Mohamed Maachou Habib Baghdadi Noureddine Ziane |
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| Institution: | a Université de Sidi Bel Abbés, Département de physique, BP 89 Cité Ben M ’hidi, 22000 Sidi Bel Abbés, Algeriab Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeriac Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbés, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbés, Algeriad Agence Nationale pour le Développement de la Recherche Universitaire (ANDRU), 16000 Alger, Algeria |
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| Abstract: | A nonlocal Levinson beam model is developed to study the free vibrations of a zigzag single-walled carbon nanotube (SWCNT) in thermal environments. The equivalent Young’s modulus and shear modulus for a zigzag SWCNT are derived using an energy-equivalent model. The present study illustrates that the vibration characteristics of an SWCNT are strongly dependent on the temperature change and on the chirality of a zigzag carbon nanotube. The investigation of the chirality and temperature effects on free vibration of carbon nanotubes may be used as a useful reference for the application and the design of nanoelectronic and nanodrive devices, nano-oscillators, and nanosensors, in which carbon nanotubes act as basic elements. |
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| Keywords: | A Carbon nanotube D Mechanical properties D Vibration |
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