Optimal design of rainbow metamaterials

Han Meng, Dimitrios Chronopoulos, Adriano Fabro, Waiel Elmadih, Richard Leach

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Nonperiodic metamaterials with appropriately designed resonator distributions can have superior vibration attenuation capabilities compared to periodic metamaterials. In this study, we present an optimization scheme for the resonator distribution in rainbow metamaterials that are constitutive of a Π-shaped beam with parallel plate insertions and spatially varying cantilever-mass resonators. To improve the vibration attenuation of rainbow metamaterials at specific design frequencies, two optimization strategies are proposed, aiming at minimizing the maximum and average receptance values. Objective functions are set up with the frequency response functions predicted by the displacement transfer matrix model. The masses of the two sets of resonators, clamped at different side walls of the Π-shaped beams, constitute the set of design variables. Optimization functions are solved using a genetic algorithm method. Results of case studies showed that the receptance values of the nonperiodic metamaterial is greatly reduced within the optimization frequency range, in comparison to the periodic metamaterial.
Original languageEnglish
Title of host publicationMEDYNA2020, 3rd Euro-Mediterranean Conference on Structural Dynamics and Vibroacoustics
EditorsS. De Rosa, F. Franco, M. Guida, F. Marulo, G. Petrone
Place of PublicationNapoli, Italy
Number of pages4
ISBN (Electronic)9788890648465
Publication statusPublished - 19 Feb 2020
Externally publishedYes
Event3rd Euro-Mediterranean Conference on Structural Dynamics and Vibroacoustics: jointly organized with AIDAA - Italian Association of Aeronautics and Astronautics - Napoli, Italy
Duration: 17 Feb 202019 Feb 2020


Conference3rd Euro-Mediterranean Conference on Structural Dynamics and Vibroacoustics
Abbreviated titleMEDYNA2020
Internet address


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