Flexural vibration of coupled double-walled Carbon nanotubes conveying fluid under thermo-magnetic fields based on strain gradient theory

Abstract

The flexural vibration stability of a coupled double-walled viscoelastic carbon nanotube conveying a fluid based on the Timoshenko beam (TB) model is investigated. The coupled system is surrounded by an elastic medium which is simulated as Pasternak foundation. Van der Waals (vdW) forces between the inner and outer CNTs are taken into account based on the Lenard-Jones model. Using small scale theories, Hamilton's principle and applying two dimensional (2D) magnetic field higher order governing equations are derived. The differential quadrature method (DQM) is applied to solve partial differential equations and investigate natural frequency of the system. The effects of viscoelastic constant, magnetic field with variable magnitudes and surface stresses on natural frequency of the structure are demonstrated in this study.

Asymmetric free vibration analysis of first-order shear deformable functionally graded magneto-electro-thermo-elastic circular plates

“…Ghorbanpour Arani et al. 21 solved governing equations for the vibration of coupled double-walled carbon nanotubes conveying fluid under thermomagnetic fields using the DQ method. Also, GDQM was employed to calculate the nonlinear buckling response of the nanocomposite antisymmetric FG polymeric microplate.…”