Vibrational analysis of single-walled carbon nanocones using molecular mechanics approach

In this paper, vibrational properties of carbon nanocones with different lengths and apex angles in various boundary conditions are studied. The results are presented in two categories: natural frequencies and the corresponding mode shapes. The molecular mechanics based finite element method is the approach applied to investigate the desired behaviors of the mentioned nanostructures. The results propose that with increasing lengths and apex angles, all of the natural frequencies decrease. Furthermore, there are some similarities between the successive frequency values and their corresponding mode shapes.