Nonlocal vibration of carbon nanotubes with attached buckyball at tip under magnetic field

In this paper, nonlocal vibration analysis of carbon nanotubes attached with buckyball at tip. The buckyball is attached to single-walled carbon nanotube (SWCNT) at one end and the other end of SWCNT is fixed. It is surround with magnetic field. The effect of magnetic field on carbonnanotubes based on Maxwells equations that this effect is a two-axis force. This force known as theLorentz force. The theory of elasticity and the principle of Hamilton is used along the nanotube axis(x-axis) and equations of motion is derived. Resultant stress are substituted nonlocal theory ofEringen. Finally, this equations solve with numerical methods and system frequency is obtained. The differential quadrature method has been used. The analytical expressions of nonlocal frequencies are also derived when the buckyballs mass are much larger than that mass of SWCNTs. In addition, effort is made to study the influence of the mass buckyball than mass nanotubes, nonlocal parameter and environment on the frequency of the nanoresonators

کلیدواژه ها:

single walled carbon nanotube ، Timoshenko beam ، nonlocal vibration ، differential quadrature method ، buckyball ، longitudinal magnetic field