The Radial Response of a Carbon Nanotube to Dynamic Pressure

The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring.