Diffusion-based design of locally resonant sub-systems using a reduced wave finite element framework

© Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics. All rights reserved. This paper presents a diffusion formulation for the Wave Finite Element (WFE) Framework, applied to the design of micro-resonators for low-frequency vibration control. First, the information resulting from diffusion analysis is compared with the one provided by a direct application of Bloch theory, in the case of periodically distributed resonators. Main advantages of diffusion methods are that the spacing between the resonators can be modified without resuming unit-cell analysis and that scattering effects, inherently produced by the host structure, can be distinguished from the sole resonator's influence. Then, the method is combined with an existing wave-based state vector reduction scheme to further reduce the computational efforts. Formulation is introduced and applied to a rectangular host structure with 3D-modeled resonators bonded on its surface. Eventually, damping-related transmission, reflection and diffusion effects produced by the resonators are studied around their harmonic frequency.

ISBN:9789073802995

Publication year:2018

BOF-keylabel:yes

IOF-keylabel:yes

Authors from:Higher Education