Abstract
Torsional vibration analysis of double-walled carbon nanotube system embedded in viscoelastic medium is carried out in the present work. Hamilton’s Principle is used for obtaining the governing equation and boundary conditions. van der Waals interaction between carbon nanotube walls is considered in circumferential direction. Characteristic frequency equations are obtained and solved for double-walled carbon nanotube system for various nonlocal parameters, viscoelastic medium parameters and van der Waals interactions. Results indicate that, viscoelastic medium yields the damping effect in vibration frequency parameter and the van der Waals interaction between nanotubes transmits this effect to the first nanotube with the help of nonlocality. The present results can be used in the design and analysis of biological nanomotors.
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Arda, M., Aydogdu, M. Torsional dynamics of coaxial nanotubes with different lengths in viscoelastic medium. Microsyst Technol 25, 3943–3957 (2019). https://doi.org/10.1007/s00542-019-04446-8
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DOI: https://doi.org/10.1007/s00542-019-04446-8