A nonlocal shell theory model for evaluation of thermoelastic damping in the vibration of a double-walled carbon nanotube

• Published in: Physica. E, Low-dimensional systems & nanostructures Vol. 57; pp. 6 - 11
• Main Authors: Hoseinzadeh, M.S., Khadem, S.E.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.03.2014; Elsevier
• Subjects: Applied sciences; Condensed matter: structure, mechanical and thermal properties; Cross-disciplinary physics: materials science; rheology; Cylindrical shell model; Double-walled carbon nanotubes; Electronics; Exact sciences and technology; Free vibration; Lattice dynamics; Materials science; Molecular electronics, nanoelectronics; Nanocrystalline materials; Nanoscale materials and structures: fabrication and characterization; Nanotubes; Nonlocal elasticity theory; Phonons in low-dimensional structures and small particles; Physics; Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices; Thermoelastic damping; Double-walled carbon nanotubes; Thermoelastic damping; Cylindrical shell model; Free vibration; Nonlocal elasticity theory; Damping; Carbon nanotubes; Mechanical properties; Boundary conditions; Nanostructures; Nanoelectronics; Vibrations; Multiwalled nanotube; Size effect; Elasticity theory; Nanostructured materials
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2013.10.009

Thermoelastic damping (TED) is a major factor of dissipating energy in the vibration control of nanodevices. On the other hand, application of classic theory in the study of nanostructures is not reasonable. In this paper, a model based on nonlocal shell theory, accounting for the small-scale effects, is used to investigate thermoelastic vibration behavior and damping of double-walled carbon nanotubes (DWCNTs) with simply supported boundary conditions. The inner and outer carbon nanotubes are considered as two individual thin shells. The set of general thermoelastic coupled equations are numerically solved. The results show that the small-scale effects decrease natural frequencies and increase thermoelastic damping compared to the local model, especially for the coaxial frequency and large circumferential wave numbers. The numerical results also show that when the radius of nanotubes rises, the influence of small-size effect on natural frequencies and thermoelastic damping drops dramatically. •A double-walled carbon nanotube is modeled as two individual cylindrical thin shells.•Nonlocal shell theory is used to investigate thermoelastic vibration behavior of DWCNTs.•Small-size effects decrease natural frequencies and increase thermoelastic damping compared to the local model.•For upper coaxial frequency modes, the small-size effect is more profound.