Size-dependent mechanics of viscoelastic carbon nanotubes: Modeling, theoretical and numerical analysis
Mingyuan Li, Qiliang Wu, Bin Bai
Abstract
This research presents the complex mechanics of the size-dependent viscoelastic carbon nanotube (CNT) subjected to the electric load. The mechanical model describing the motions of CNT is formulated by the Euler beam theory, Kelvin-Voigt viscoelastic model, and nonlocal continuum theory. The nonlinear governing equation and end conditions are deduced by the generalized Hamilton principle. The homoclinic structure of the CNT system is constructed using the reductive perturbation approach and the infinite-dimensional global perturbation method. Finally, using the extensive parametric analysis, the impact of electric excitation, nano-scale effect, and viscoelastic effect on the complex mechanics of CNT is simultaneously highlighted. Additionally, the comparison is also conducted with published researches to test the model and theoretical analysis.