Magnetoelastic Metastructures for Passive Broadband Vibration Suppression

摘要

This paper presents an experimental and theoretical analysis of a novel metamaterial-inspired distributed vibration suppression system. The proposed research takes advantage of uniquely designed cantilevered zigzag structures that can have natural frequencies orders of magnitude lower than a simple cantilever of the same scale. A key advantage of the proposed vibration suppression system is that the dynamic response of each zigzag structure can be made highly nonlinear with the use of magnets. Arrays of these compact linear and nonlinear zigzag structures are integrated into a host structure to form what is referred to here as a metastructure. The proposed and experimentally validated analytical model employs a Rayleigh-Ritz formulation for a linear metastructure represented as a cantilever beam with a distributed array of attached single degree of freedom oscillators. These attached oscillators are lumped parameter representations of the zigzag structures. Experimental modal analysis results are shown comparing the response of the nonlinear metastructure to that of both the linear metastructure and also to the host structure with no vibration suppression. Results show that the linear system can reduce the maximum response of the host structure by 41.0% while the nonlinear system can achieve over twice that with a reduction of 84.5%. These promising preliminary results provide motivation for future work to be focused on developing nonlinear metastructures for vibration suppression.