Dynamic stability analysis of single walled carbon nanocone conveying fluid

This report aims the study of dynamic stability of single walled carbon nanocone for some axial length conditions and declination angles of 60°, 120°and 240°. For dynamic stability analysis of Single Walled Carbon Nanocone (SWCNC), the mode shapes and frequencies of the carbon nanocone are extracted using the molecular mechanics approach. The mechanical properties of SWCNC were obtained by the Molecular Mechanics (MM) method. The obtained parameters are used for extraction of the conical shell virtual model of nanocone with the same dimensions. The equations of coupled fluid-structural dynamics of SWCNC are derived using the modal expansion for the structural displacements of the conical shell. In addition, for a velocity field, dimensionless frequencies were drawn according to the dimensionless velocities and critical dimensionless velocity of the fluid was obtained at the first mode of dynamics instability. For validation of these results, one test case is selected and a good agreement is found between the obtained carbon nanotube results using shell-like model and those reported in the literature. Using the developed model, the dimensionless divergence velocities were drawn according to the axial length of carbon nanocone for declination angles of 60°and 240°.