Interactive Euler beam model for density prediction of composite material: Modelling of stability and reliability

The frequency analysis of carbon nanotubes is the focus of this paper. For armchair single walled carbon nanotubes, the small size influence on the variation in density response is obtained using the nonlocal Euler beam theory. At the end of these tubes, two distinct immovable boundary constraints are applied. These boundary conditions appear to have a significant impact on SWCNT vibration. The content, size, structure, weight, and shape of the object all affect how frequently it occurs naturally. It is looked into how density affects natural frequency. The resonance frequency of the system is the same as the natural frequency of the nanotube. The influence of fundamental natural frequencies on the density of single-walled carbon nanotubes with C-C and C-F armchairs (3, 3), (9, 9), and (13, 13). Furthermore, the frequency values are influenced by the armchair tube's index order. In this work, the frequencies are given in THz. Therefore, a drop in resonance frequency is caused by an increase in density. Convergence of present study is done to view the accuracy. The available results are well matched with present provided results.