This paper investigates the formation of band gaps in fluid-filled structures with periodic liquid dampers. A simplified mechanical model is employed to approximate the sloshing dynamics and is integrated into a host structure. The vibration attenuation capabilities of the structure are evaluated applying the Floquet-Bloch theory to the dynamic stiffness matrix of the periodic cell. The results reveal the coexistence of low-frequency local resonance band gaps and high-frequency Bragg-type band gaps. A parametric study highlights the role of fluid depth and cell geometry in tuning the band gap characteristics.

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Predicting the Stop-Bands of Fluid-Filled Metamaterials with Periodic Liquid Dampers

  • Filippo Dall’Olio,
  • Elisabetta Manconi,
  • Emiliano Rustighi,
  • Arianna Ferrari

摘要

This paper investigates the formation of band gaps in fluid-filled structures with periodic liquid dampers. A simplified mechanical model is employed to approximate the sloshing dynamics and is integrated into a host structure. The vibration attenuation capabilities of the structure are evaluated applying the Floquet-Bloch theory to the dynamic stiffness matrix of the periodic cell. The results reveal the coexistence of low-frequency local resonance band gaps and high-frequency Bragg-type band gaps. A parametric study highlights the role of fluid depth and cell geometry in tuning the band gap characteristics.