Size-dependent vibration of fluid-conveying double-walled carbon nanotubes using couple stress shell theory

• Published in: Physica. E, Low-dimensional systems & nanostructures Vol. 61; pp. 28 - 39
• Main Authors: Zeighampour, Hamid, Tadi Beni, Y.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.07.2014; Elsevier
• Subjects: Condensed matter: structure, mechanical and thermal properties; Cross-disciplinary physics: materials science; rheology; Donnell׳s shell theory; DWCNT; Exact sciences and technology; Fluid-conveying; Lattice dynamics; Materials science; Mechanical and acoustical properties of condensed matter; Mechanical properties of nanoscale materials; Modified couple stress theory; Nanoscale materials and structures: fabrication and characterization; Nanotubes; Phonons in low-dimensional structures and small particles; Physics; Size effect; DWCNT; Modified couple stress theory; Donnell׳s shell theory; Size effect; Fluid-conveying; Damping; Boundary conditions; Equations of motion; Carbon; Velocity; Vibrations; Shell models; Multiwalled nanotube; Donnell's shell theory; Stress effects; Instability; Double wall nanotube; Stiffness; Differential method; Classical theory
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2014.03.011

This work investigated vibrations and instability of double-walled carbon nanotube (DWCNT) conveying fluid by a modified couple stress theory. For this purpose, Donnell׳s shell model was developed and, using the modified couple stress theory, the equations of motion and corresponding classical and non-classical boundary conditions of DWCNT were obtained through Hamilton׳s principle. Then, DWCNT with simple–simple and clamped–clamped supports were investigated. The effect of the van der Waals (vdW) forces was considered between the two walls, and the DWCNT surroundings were modeled as a visco-Pasternak foundation. The governing equations of motion and corresponding boundary conditions were discretized through differential quadrature method (DQM), and the vibration problem was solved by using the boundary conditions. The results show that the effects of fluid velocity, stiffness and damping of the visco-Pasternak foundation, nanotube length, and size parameter in the modified couple stress theory are stronger than in the classical theory. Finally, the effect of vdW forces and presence of fluid in the DWCNT examined on the natural frequencies of DWCNT. Modified couple stress theory used to investigate the size dependent vibration of double-walled carbon nanotube (DWCNT) conveying fluid. [Display omitted] •Modified couple stress theory used to investigate the size dependent vibration of double-walled carbon nanotube (DWCNT) conveying fluid.•Proposed model is able to predict the results more accurately than the previous classic beam models.•The effect of the van der Waals forces was considered between the two walls and the DWCNT surroundings were modeled as a visco-Pasternak foundation.