Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Wave Propagation and Band Gap Formation in Corrugated Plates
Submission Author:
Rodrigo Nicoletti , SP , Brazil
Co-Authors:
Rodrigo Nicoletti
Presenter: Rodrigo Nicoletti
doi://10.26678/ABCM.COBEM2023.COB2023-0518
Abstract
Structures with geometric periodicity can present interesting dynamic properties like stop and pass frequency bands. In this case, the geometric periodicity has the effect of filtering the propagating waves in the structure, in a similar way to that of phononic crystals and metamaterials (non-homogeneous materials). Hence, by adopting such structures, one can design systems that present dynamic characteristics of interest, e.g. with minimum dynamic response in a given frequency range with large bandwidth. In the present work, it is shown that corrugated plates also present the dynamic properties of periodic structures due to their periodic geometry only. Periodic corrugation is the plastic deformation of the plate into given shapes whose patterns repeat in the two-dimensional space of the plate. Hence, in this case, there is no need of changing the mass or material properties along the structure (a common approach found in the literature) to form stop band regions in the frequency spectrum. The corrugated plate is modeled by finite elements and the resultant frequency response functions and dispersion diagrams (out-of-plane vibration) are obtained using the COMSOL software. The results show that band gaps indeed appear in the frequency spectrum of the plate. In addition, the bandwidth and the central frequency of the band gap depend on the direction of propagation of the vibrating wave. The corrugated shape of the plate can differ from one direction to the other in the two-dimensional space of the plate and, depending on the corrugation density in a given direction of propagation, different stop band regions form in the frequency spectrum. The obtained results show that one can tailor the band gaps in the orthogonal directions of propagation by changing the corrugation shape of the plate.
Keywords
Metamaterials, periodic structures, modal analysis, natural frequency, stop bands
