Lumped mass model of a 1D metastructure for vibration suppression with no additional mass

Katherine Reichl, Daniel Inman

Research output: Contribution to journalArticle (Academic Journal)peer-review

64 Citations (Scopus)
492 Downloads (Pure)


The article examines the effectiveness of metastructures for vibration suppression from a weight standpoint. Metastructures, a metamaterial inspired concept, are structures with distributed vibration absorbers. In automotive and aerospace industries, it is critical to have low levels of vibrations while also using lightweight materials. Previous work has shown that metastructures are effective at mitigating vibrations, but do not consider the effects of mass. This work takes mass into consideration by comparing a structure with vibration absorbers to a structure of equal mass with no absorbers. These structures are modeled as one-dimensional lumped mass models, chosen for simplicity. Results compare both the steady-state and the transient responses. As a quantitative performance measure, the
norm, which is related to the area under the frequency response function, is calculated and compared for both the metastructure and the baseline structure. These results show that it is possible to obtain a favorable vibration response without adding additional mass to the structure. Additionally, the performance measure is utilized to optimize the geometry of the structure, determine the optimal ratio of mass in the absorber to mass of the host structure, and determine the frequencies of the absorbers. The dynamic response of this model is verified using a finite element analysis.
Original languageEnglish
Pages (from-to)75-89
Number of pages14
JournalJournal of Sound and Vibration
Early online date19 May 2017
Publication statusPublished - 1 Sept 2017


  • vibration suppression
  • metastructure
  • passive damping


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