Partially Hinged Rectangular Plates: Theoretical Analysis And Applications The aim of the thesis is to present a rigorous theoretical analysis of the dynamics of partially hinged rectangular plates and their possible role in mathematical models of footbridges or suspension bridges expanding on the recent paper by Ferrero and Gazzola [1]. It is known that simplified models can prove useful since finer analytical methods can be applied to provide valuable insights into the physical properties of the structures, furthermore if the simple model exhibits a behavior that can be considered dangerous for the structure, we can expect that the more precise model will behave similarly.