Vibrational Analysis of helically coiled carbon nanotubes considering nonlocal effects

In this paper a numerical method is proposed to study the free vibration of helically coiled carbon nanotubes considering the nonlocal effects in bending, torsion and tension. The coil is discretized to so many finite elements that the curvature of each element can be neglected. Frame elements with six degrees of freedom per node (three displacements and three rotations) are used. Displacements and rotations are defined at thecentral axis of each element and nonlocal theorem is applied to the equations governing tension, bending and torsion. Then elements are rotated in the global coordinate system and assembled to construct the coil. In order to verify the developed MATLAB code, the results obtained by neglecting nonlocal effects are compared with those of ANSYS. At the end, the results for various coiled carbon nanotubes and a specific onewith different boundary conditions are presented

کلیدواژه ها:

coiled carbon nanotubes ، free vibration ، nonlocal theorem ، frame elements