Tunable elastic metamaterials using rotatable coupled dual-beam resonators
Journal
Journal of Applied Physics
Journal Volume
126
Journal Issue
3
Start Page
035107
ISSN
10897550
00218979
Date Issued
2019
Author(s)
Abstract
We present the theoretical background, finite element and spectral element analyses, and experimental validation of a new class of tunable elastic metamaterials which leverage coupled dual-beam resonators that cancel in-phase bending vibration of each beam section. For a metamaterial with an array of rotatable single-beam resonators, we first show that the orthogonal bending modes of each resonator merely cause the shrinkage of one bandgap and the expansion of the other with changing resonator angle. Then, by simply rotating the coupled dual beams while keeping the joint tip mass stationary, we demonstrate that the bandgap of the host elastic metamaterial with an array of coupled dual-beam resonators can be continuously tuned over a wide range of frequencies. While canceling the undesired lateral bending motions, we enable tunable elastic metamaterials through altering the moment of inertia of the beam-type resonator attachments. Continuous bandgap tuning over a broad frequency range is validated experimentally, yielding a 42% change in the starting frequency of the bandgap as the coupled dual-beam resonators are rotated from 0 ° to 90 °. Although passive tuning is considered in our work, active components can be incorporated in the proposed design to enable adaptive tuning as well as time-varying behavior.
Subjects
Crystal Resonators
Energy Gap
Metamaterials
Vibration Analysis
Active Components
Bending Vibrations
Broad Frequency Range
Elastic Metamaterial
Experimental Validations
Orthogonal Bending Modes
Spectral Element Analysis
Time Varying Behavior
Resonators
Publisher
American Institute of Physics Inc. subs@aip.org
Type
journal article