Abstract
Exploring applicable ways to control characteristics of transverse waves in periodic jungles of single-walled carbon nanotubes (SWCNTs) has been of interest to nanotechnologists and applied mechanics community. Herein, the theoretical-mechanical aspects of the influence of the longitudinal magnetic field on such highly conductive nanosystems are going to be examined. Using nonlocal Rayleigh and Timoshenko beam models, the discrete and continuous versions of equations of motion of magnetically affected nanosystems are derived. Commonly, the discrete models suffer from both labor costs and computational efforts for highly populated nanosystems. To conquer these special deficiencies of discrete nanosystems, appropriate continuous models have been established and their efficiency in capturing frequencies of discrete models is proved. The roles of wavenumber, radius of SWCNTs, magnetic field strength, nonlocality, and intertube distance in flexural and shear frequencies as well as their corresponding phase and group velocities are displayed and discussed. The obtained results confirm this fact that the longitudinal magnetic field could be employed as an efficient way to control characteristics of both flexural and shear waves in periodic jungles of SWCNTs.
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