The thesis work is carried out at the dynamic acceleration and vibration laboratory of INRIM (Istituto Nazionale di Ricerca Metrologica) which is a public research centre and is Italy's national metrology institute (NMI) located at Turin. This research represents an overview of mechanical periodically structured materials as well as a more comprehensive investigation on 2D metamaterials capable of reducing transition of mechanical wave. While most of the previous research projects were focused on designing periodic structures by topology optimisation tools and computational simulations, The objective of this research is to experiment, and Validation of the designed metamaterials and the ones extracted from related research works by the experimental setup which is realized in INRIM research centre.