Vibration Analysis of Viscoelastic Carbon Nanotube under Electromagnetic Fields based on the Nonlocal Timoshenko Beam Theory

In this paper flexural vibration and buckling analysis of the viscoelastic nanotube under electromagnetic force is investigated analytically. In order to consider more realistic assumptions, the linear solid viscoelastic model is used. The differential equations of motion are derived via the nonlocal Timoshenko beam theory. The Lorentz magnetic force is obtained from the Maxwell's relation. The analytical method is used to obtain nonlocal natural frequencies and buckling load of the system. The influence of magnetic field, aspect ratio and nanoscale effects on the natural frequencies and buckling load are studied. Then the results are validated and illustrated with appropriate figures and tables.