Influence of temperature and nonlinear damping on mechanical properties of single-walled carbon nanotubes

Abstract

Existing experiments have demonstrated that the nonlinear terms caused by damping impact the dynamical behaviors of single-walled carbon nanotubes (SWCNTs) significantly. Although, it is still an open question to precisely describe the vibrations of SWCNTs with the combined effects, such as the scale effect, the thermal effect, and the nonlinear damping. In the present research, we proposed a new nonlocal nonlinear Euler-Bernoulli theory to model an SWCNT's mechanical properties with the combined effect of three factors. A (10,10)SWCNT was brought to demonstrate the influence of the three factors on the elastic buckling and the forced bending vibrations. The results indicate for slender SWCNTs that the combined effects have some more remarkable impacts on nonlinear mechanical behaviors than individual factors, and dramatic deviation may emerge in the vibrations once nonlinear damping terms are absent.