Finite amplitude vibrations of a sharp-edged beam immersed in a viscous fluid near a solid surface

Emma Grimaldi, Maurizio Porfiri, Leonardo Soria

Research output: Contribution to journalArticle

Abstract

In this paper, we study finite amplitude bending vibrations of a slender thin beam immersed in a quiescent viscous liquid and oscillating near a solid surface. We focus on the regime of low Knudsen and squeeze numbers and moderately large Keulegan-Carpenter number, for which neither squeeze film models nor unsteady Stokes hydrodynamics are suitable to describe the flow physics. In this case, the distributed hydrodynamic loading experienced by the oscillating beam is represented by a complex-valued hydrodynamic function, which explicitly depends on the Keulegan-Carpenter number to account for convection-driven nonlinearities in the fluid-structure interaction. We conduct a parametric study on the two-dimensional computational fluid dynamics of a rigid lamina oscillating in the vicinity of a solid surface to establish a handleable semianalytical formula for the hydrodynamic function in terms of the key nondimensional parameters. We validate the proposed modeling approach through experiments on centimeter-size compliant cantilevers vibrating underwater under base excitation at varying distances from a rigid wall.

Original languageEnglish (US)
Article number104907
JournalJournal of Applied Physics
Volume112
Issue number10
DOIs
StatePublished - Nov 15 2012

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viscous fluids
solid surfaces
hydrodynamics
vibration
squeeze films
Knudsen flow
bending vibration
computational fluid dynamics
convection
nonlinearity
physics
fluids
liquids
excitation
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Finite amplitude vibrations of a sharp-edged beam immersed in a viscous fluid near a solid surface. / Grimaldi, Emma; Porfiri, Maurizio; Soria, Leonardo.

In: Journal of Applied Physics, Vol. 112, No. 10, 104907, 15.11.2012.

Research output: Contribution to journalArticle

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