Non-linear dynamic response of a single wall carbon nanotube subjected to radial impulse

This paper investigates non-linear dynamic response of a single wall carbon nanotube (CNT) based on a thin-walled shell mode. Following the subsequent motion of a single wall (CNT) under radial impulsive pressure, a nonlinear dynamic response may occur through interaction of circumferential membrane force with flexural curvature. The results carried out show that the initial deformation energy in the single wall CNT will be transferred, over a number of cycles, from the breathing mode to one or two high flexural modes, so that the nonlinear flexural stress of the single wall CNT is significantly higher than that given by linear theory. The principal point of interest are the conditions for significant interaction to occur and the increased flexural stress associated with the altered radial motion of a single wall CNT.