Details

Autor(en) / Beteiligte

• Li, Mingyuan
• Wu, Qiliang
• Bai, Bin

Titel

Size-dependent mechanics of viscoelastic carbon nanotubes: Modeling, theoretical and numerical analysis

Ist Teil von

• Results in physics, 2020-12, Vol.19, p.103383, Article 103383

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2020

Quelle

ScienceDirect

Beschreibungen/Notizen

• •The nonlocal viscoelastic continuum model of CNT is established.•The persistent homoclinic orbit of the perturbed system is explored by the Menikov method and geometric analysis.•The critical criterion of chaos is obtained for the viscoelastic CNT.•The impact of electric load, nonlocal effect and viscoelasticity on the complex dynamics of the CNT is uncovered. 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.