Three-Dimensional Mechanical Metamaterial for Vibration Suppression

  • Brittany C. EssinkEmail author
  • Daniel J. Inman
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


Decades of research have been conducted on vibration suppression, cancellation, and absorption methods. Recently, distributed arrays of resonators have been implemented in host structures creating devices termed mechanical metamaterials, also known in the literature as metastructures. The benefit of using mechanical metamaterials as opposed to traditional added absorbers is the structure is initially designed including the absorbers instead of adding them after creation, saving time and weight. Additionally, these structures remain capable of bearing loads without adding additional mass. Where past research has focused on designing and optimizing metastructures based on single degree of freedom excitations, the research presented in this paper focuses on a device capable of vibration suppression under excitation in three directions; longitudinal, transverse, and torsional. This accommodation is necessary for these devices to be implemented in non-laboratory settings to account for excitation from multiple directions.

This paper presents experimental data and a preliminary finite element model for a three-dimensional mechanical metamaterial vibration suppression system. Experimental results compare the structure with blocked absorbers to free absorbers to demonstrate vibration reduction bandwidths of 358 Hz in the longitudinal direction, 24 Hz in the transverse direction, and a frequency shift of 40 Hz in the torsional direction. These promising results show that a metastructure can be effectively designed to suppress vibrations in all three directions of excitation with further motivation to explore optimization of the absorber system for maximum suppression bandwidth.


Mechanical metamaterial Metastructure Multidirectional excitation Vibration supression 



Special thanks to Dr. Robert Haynes and Dr. Todd Henry at the Army Research Lab on the Aberdeen Proving Grounds for helping us test and validate our mechanical metamaterial on the 6DOF test system located at their facilities. Additional thanks to Dr. Mulugeta Haile for hosting and facilitating the visit.


  1. 1.
    Zhu, R., Liu, X.N., Hu, G.K., Sun, C.T., Huang, G.L.: A chiral elastic metamaterial beam for broadband vibration suppression. J. Sound Vib. 333, 2759–2773 (2014)CrossRefGoogle Scholar
  2. 2.
    Sun, H., Du, X., Pai, P.F.: Theory of metamaterial beam for broadband vibration absorption. J. Intell. Mater. Syst. Struct. 21, 1085–1101 (2010)CrossRefGoogle Scholar
  3. 3.
    Pai, P.F., Peng, H., Jiang, S.: Acoustic metamaterial beams based on multi-frequency vibration absorbers. Int. J. Mech. Sci. 79, 195–205 (2014)CrossRefGoogle Scholar
  4. 4.
    Hobeck, J.D., Laurent, C.M.V., Inman, D.J.: 3D printing of metastructures for passive broadband vibration suppression. In: 20th International Conference on Composite Materials, pp. 19–24 (2015)Google Scholar
  5. 5.
    Reichl, K.K., Inman, D.J.: Active metastructures for light-weight vibration suppression (2018)Google Scholar
  6. 6.
    Drouard, S., Hobeck, J.D., Inman, D.J.: ICAM Report (2015)Google Scholar
  7. 7.
    Reichl, K.K., Inman, D.J.: Dynamic modulus properties of Objet Connex 3D Printer digital materials. In: Topics in Modal Analysis & Testing, vol. 10, pp. 191–196. Springer, New York (2016)Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 2020

Authors and Affiliations

  1. 1.Department of Aerospace EngineeringUniversity of MichiganAnn ArborUSA

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