Finite Element Analysis of Thermo-Mechanical Vibration and Instability of Double Wall Boron Nitride Nanotubes Conveying Fluid Resting On Viscoelastic Medium Using Nonlocal Elasticity Theory

A nonlocal thermo–elastic Bernoulli–Euler beam model is developed for thermo–mechanical vibration andbuckling instability of a double-walled boron nitride nanotube (DWBNNT) conveying fluid and resting on a viscoelasticmedium. Finite element method is adapted to obtain numerical solutions. The effects of temperature change,nonlocal parameter and viscoelastic medium constants on the natural frequency and buckling instability of the nanotubeare investigated for different boundary conditions. Numerical results indicate that as the temperature changeincreases the natural frequency and critical flow velocity decreases. Nonlocal parameter also has similar effect onnatural frequency and critical flow velocity however at some points the behavior changes. Also taken into accountare the effects of viscoelastic medium s constants.

Keywords:

Double-walled boron nitride nanotubes , Thermo–mechanical vibration , Critical flow velocity , Nonlocal elasticity theory