Vibration and buckling anlysis of borophen and silicen nanotubes under dimensional impact using mathematical model and molecular dynamics

In this thesis, vibration and buckling behavior of silicon carbide and boron nitride nanotubes, which are based on silicene and borophene structures and have the widest use after carbon nanotubes, is investigated. Silicon carbide and boron nitride nanotubes with armchair and zigzag chirality from 5 nanometers to 15 nanometers lengths are investigated by using both mathematical model and molecular dynamics simulation methods to perform buckling and vibration analyses. Mathematical model is used for both classical and size effective analyses. Nanotubes fixed at both ends and nanotubes fixed at one end and free at the other end are analyzed. Analyzes are made using the Euler-Bernoulli beam theory in the size effect neglected condition using the classical continuous mechanics model, and using the nonlocal elasticity theory in the case of the size effect is taken into consideration. Vibration analyzes with non-local elasticity were performed using both the rod model and the beam model. For molecular dynamics simulations, two different analysis packages, LAMMPS and GROMACS, were performed separately using Lennard-Jones and Tersoff potentials. When the two support cases are compared, it is clearly seen that the results obtained when using the molecular dynamics simulation of the buckling loads obtained in the cases fixed at both ends are farther when compared to the cases with one end fixed and the other free. It has been observed that the mathematical model and molecular dynamics simulation results agree in a specific single nanotube length in the selected nanotube length range in cases where both ends are fixed, while in other cases there is an average difference between 1% and 50%.