基于非局部高阶剪切梁理论的碳纳米管弯曲波研究

A nonlocal high-order shear beam model for circular cross-section nanobeam is presented. Compared with Timoshenko beam, the effect of cross-section shear deformation is not only considered, but also the shear in circumference is met to be zero, and the concept of shear correction factor is not introduced. Using this model, flexural waves propagating in Single-walled Carbon Nanotubes (SWCNT) and Multi-Walled Carbon Nanotubes (MWCNT) in free space and embedded in elastic medium are investigated; elastic medium is simulated by a bi-parameter Pasternak substrate. Furthermore, the governing equations of the nonlocal high-order shear beam model are established to deduce the dispersion of flexural waves in SWCNT and MWCNT. Subsequently, the theoretical results have a good agreement with those from Molecular Dynamics simulation, which demonstrates that the wave behaviors of carbon nanotubes can be correctly described by the presented model.