This thesis describes the influence of an asymmetric structure on the vibration response of satellites, specifically of CubeSat. Two (numerical) versions of asymmetric structure were created based on fractal geometry, as well as a symmetric structure that was taken as a reference. The symmetric and asymmetric structures were subjected to various simulated analyses such as Static Analysis, Modal Analysis and Random Vibration Analysis in order to study their vibration characteristics such as natural frequencies, deformation, von Misses stress and strain. The results of these analyses are then compared to those from studies of a symmetric structure based on hexagon structural surfaces in order to demonstrate the advantages and drawbacks brought by the asymmetry on structural vibration. It was shown that asymmetric structures display advantageous results in natural frequency behavior and rather good but can-be-improved response to random vibration. The analysis process consists of applying loads and constraints on the structure, after meshing the parts in to the number of nodes, were performed using the FEM analysis in ANSYS Workbench 18.0 software. A comprehensive description of each stage of the simulation analysis using ANSYS software is also provided in this thesis.