Effect of resonator location and boundary conditions on bandgap formation in a locally resonant beam metastructure

R. Yazbeck, R. Fernandes, J. G. Boyd, D. C. Lagoudas, S. El-Borgi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This study investigates how resonator placement and boundary conditions influence bandgap formation in a locally resonant beam metastructure. The steady-state response of the structure, subjected to a concentrated harmonic load, is then computed using the modal analysis. Four different boundary conditions are considered. For each boundary condition, the resonator array is shifted, and the corresponding responses are calculated. The study reveals that, for a cantilever beam, the widest bandgap occurs when the last resonator in the periodic array is positioned at the free end. For the other cases, no significant change in bandgaps is observed.

Original languageEnglish
Number of pages10
JournalMechanics of Advanced Materials and Structures
Early online dateJan 2025
DOIs
Publication statusPublished - 15 Jan 2025

Keywords

  • Bandgap
  • Boundary conditions
  • Local resonator
  • Metastructure
  • Modal analysis

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