Constant Mass Metastructure with Vibration Absorbers of Linearly Varying Natural Frequencies
This work looks at the effectiveness of constant weight metastructures for vibration suppression. A metastructure is a structure with distributed vibration absorbers. The metastructures are compared to a baseline structure of equal mass. The equal mass constraint shows that any increase in performance is due to the addition of the vibration absorbers and not due to adding additional mass to the structure. In this paper, two different metastructure designs are compared. These structures are designed to suppress longitudinal vibrations traveling along the length of the bar. The metastructures have ten vibration absorbers distributed on the length of the bar and the ratio of mass of the absorbers to mass of the host structure is 0.26. One metastructure has all the absorbers tuned to the natural frequency of the host structure and the other metastructure uses absorbers that are tuned to frequencies that have linearly varying natural frequencies. These structures were modeled using two different methods, a one-dimensional (1D) finite element method with lumped mass vibration absorbers and a fully three-dimensional (3D) finite element model. The results show that the metastructure with linearly varying natural frequencies outperforms that metastructure with vibration absorbers tuned to a single natural frequency.
KeywordsMetastructure Additive manufacturing Passive damping
This work is supported in part by the US Air Force Office of Scientific Research under the grant number FA9550-14-1-0246 “Electronic Damping in Multifunctional Material Systems” monitored by Dr. BL Lee and in part by the University of Michigan.
- 1.Engheta, N., Ziolkowski, R.W.: Metamaterials: Physics and Engineering Explorations, IEEE (2006)Google Scholar
- 2.Laszlo, S., Shamonina, E.: A historical review. In: Waves in Metamaterials, pp. 315–324 (2009)Google Scholar
- 7.Yu, T., Lesieutre, G.A.: Damping of sandwich panels via acoustic metamaterials. In: AIAA SciTech, 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (2016)Google Scholar
- 8.Reichl, K.K., Inman, D.J.: Modelling of low-frequency broadband vibration mitigation for a bar experiencing longitudinal vibrations using distributed vibration absorbers. In: 20th International Conference on Composite Materials (2015)Google Scholar
- 9.Hobeck, J.D., Laurant, C.M.V, Inman, D.J.: 3D printing of metastructures for passive broadband vibration suppression. In: 20th International Conference on Composite Materials (2015)Google Scholar