Static and dynamic analysis of auxetic disordered networks

Nowadays, one of the most common problems is noise pollution. For this reason, there is an increasing interest in metamaterials that provide sound insulation and light weight. Vibration analyzes are frequently performed due to auxetic (negative Poisson ratio) behavior in structures consisting of repetitions of a regular geometry. However, vibration analyzes of an irregular metastructure have rarely been performed before. In this thesis, we subjected the models of Restricted and Unrestricted structures, which are two basic examples of disordered geometries, which we derived through a design program, to static and dynamic analysis separately. As a result of the studies, it was seen that Restricted structures were more advantageous in terms of their ability to acquire auxetic behavior. High-density mesh structures, which can be obtained very rarely, also gave positive results in obtaining auxetic behavior for unrestricted structures. Again, according to the modal analysis results, it was observed that restricted structures damping more vibrations at low connection values than unrestricted structures. In addition, the vibration damping behavior of unrestricted and restricted structures increased as a result of the increase in mass. The increase in mass for the samples also increased the connection value. In addition to all these, the increase in the damping coefficient for the analyzes has had positive effects on vibration damping for all types of structures. The decrease in the damping coefficient, on the other hand, caused the vibration value to increase in the analysis results. As a result of these studies, auxetic behavior was obtained at higher connection values in unrestricted structures. It was seen that restricted structures are more advantageous than unrestricted structures in terms of vibration damping.