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Resonance and damping in drop-cantilever interactions

Crystal Fowler1, Rehan Marshall1, Maeji Son2, and Sunghwan Jung1,*

  • 1Department of Biological and Environmental Engineering, Cornell University, Ithaca, New York 14853, USA
  • 2North London Collegiate School, 109708, Singapore

  • *Contact author: sj737@cornell.edu
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Phys. Rev. Fluids 9, 123605 – Published 23 December, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.123605

Abstract

In this study, we investigated the dynamics of a droplet impacting and oscillating a polycarbonate cantilever beam of nine varying lengths. We analyzed the cantilever's damping and vibration frequency in relation to a resonance length, where the frequencies of the droplet and the cantilever are equal. In shorter beam lengths, the beam vibrates at a frequency higher than that of the droplet. Upon reaching the resonance length, the frequencies of both the droplet and the cantilever align, and the cantilever is out of phase with the oscillation of the droplet's apex. This leads to increased damping rates. At this resonance length, the droplet's force and the direction of the cantilever oppose each other. When the cantilever length exceeds the resonance length, it synchronizes more with the droplet apex. This alignment allows the droplet force and the cantilever to work in phase. Our findings provide fundamental insights into the damping effect of droplet impacts on elastic surfaces around resonance.

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Outline

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Phys. Rev. Fluids 9, 123605– Published 23 December, 2024
  • Received 27 June 2024
  • Accepted 18 November 2024
Article part of CHORUS
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