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DINAME2019
DINAME2019
Metamaterial Plate Vibration with WFE Method using Continuous Local Resonator Modeling
Submission Author:
Edilson Dantas Nóbrega , MA , Brazil
Co-Authors:
Edilson Dantas Nóbrega, Jose Maria Campos dos Santos
Presenter: Edilson Dantas Nóbrega
doi://10.26678/ABCM.DINAME2019.DIN2019-0176
Abstract
This research is an application of Wave Finite Element (WFE) method to model a metamaterial reinforced-plate elastic structure using Continuous Local Resonators (CLR) modeling. A CLR is a local resonator made with a solid cubical block (mass) connected to one end of four small beams and fixed in the others. This geometry provides a local resonator with many degrees-of-freedom that implies corresponding natural frequencies and mode shapes, which affects the plate metamaterial behavior. A reinforced-plate slice is modeled by Finite Element (FE) method, having periodic cells with a CLR in each one. The slices are used to find the wave numbers and corresponding modes by WFE to obtain dispersion diagrams and forced responses (FRFs). WFE results of FRFs are compared with conventional FE results. The results show that the bandgaps can be identified using both results (FRF and dispersion diagram). Also, the bandgaps occur for all wave modes tuned by the CLR, and the corresponding responses at these modes are attenuated.
Keywords
metamaterial, plate, Bandgap
