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The thermal effect on vibration of zigzag single walled carbon nanotubes using nonlocal Timoshenko beam theory |
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| Authors: | Mohamed Zidour Kouider Halim BenrahouAbdelwahed Semmah Mokhtar NaceriHichem Abdesselem Belhadj Karima BakhtiAbdelouahed Tounsi |
| Affiliation: | a Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbés, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbés, Algeria b Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeria c Université de Sidi Bel Abbés, Département de Physique, BP 89 Cité Ben M ’hidi, 22000 Sidi Bel Abbés, Algeria |
| Abstract: | Based on nonlocal theory of thermal elasticity mechanics, a nonlocal elastic Timoshenko beam model is developed for free vibration analysis of zigzag single-walled carbon nanotube (SWCNT) considering thermal effect. The nonlocal constitutive equations of Eringen are used in the formulations. The equivalent Young’s modulus and shear modulus for zigzag SWCNT are derived using an energy-equivalent model. Results indicate significant dependence of natural frequencies on the temperature change as well as the chirality of zigzag carbon nanotube. These findings are important in mechanical design considerations of devices that use carbon nanotubes. |
| Keywords: | Single-walled carbon nanotubes Nonlocal elasticity Chirality Thermal effect |
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