This paper develops a structural mechanic model that analyzes the natural frequency of single-walled carbon nanotubes (SWCNTs) subjected to fixed-fixed and free-fixed boundary conditions. The necessity of desirable conditions and expensive tests for experimental methods, in addition to the time expenditure required for atomic simulations, are the motivation for this work. Because the present model is constructed in the CAE space of ABAQUS, there is no need to program for different loading and boundary conditions. A Morse potential is employed for stretching and bending potentials, and a periodic type of bond torsion is used for torsion interactions. The natural frequencies for various aspect ratios are predicted by this structural model. The effect of different vacancy defects on the natural frequency of zigzag and armchair nanotubes is also investigated. These findings are in good agreement with the existing numerical results.

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