Bandgap Dynamics in Locally Resonant Metastructures: A General Theory of Internal Resonator Coupling

Hossein Alimohammadi*, Kristina Vassiljeva, S. Hassan HosseinNia, Eduard Petlenkov

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

The dynamics of metastructures, incorporating both conventional and internally coupled resonators, are investigated to enhance vibration suppression capabilities through a novel mathematical framework. A close-form formulation and a transfer function methodology are introduced, integrating control system theory with metastructure analysis, offering new insights into the role of internal coupling. The findings reveal that precise internal coupling, when matched exactly to the stiffness of the resonator, enables the clear formation of secondary bandgaps, significantly influencing the vibration isolation efficacy of the metastructure. Although the study primarily focuses on theoretical and numerical analyses, the implications of adjusting mass distribution on resonators are also explored. This formulation methodology enables the adjustment of bandgap characteristics, underscoring the potential for adaptive control over bandgaps in metastructures. Such capabilities are crucial for tailoring the vibration isolation and energy harvesting functionalities in mechanically resonant systems, especially when applied to demanding heavy-duty applications.

Original languageEnglish
Article number2447
Number of pages20
JournalApplied Sciences (Switzerland)
Volume14
Issue number6
DOIs
Publication statusPublished - 2024

Keywords

  • distributed parameter model
  • internally-coupled resonators
  • metastructures
  • modal analysis
  • spatial variation

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