Unsteady stokes flow for a vibrating cantilever under a free-surface

Giovanni Di Ilio, Iskender Sahin, Angelantonio Tafuni

Research output: Contribution to conferencePaperpeer-review

2 Scopus citations

Abstract

Vibration of a thin, rectangular-cross-section beam submerged in a viscous, quiescent fluid undergoing small amplitude oscillations is studied using a Boundary Element (BE) approach in which the free-surface is modeled through a stress-free boundary condition. The Stokes approximation is used where nonlinear convective terms are negligible and the problem is formulated in Fourier and Laplace transform space when appropriate. Results are expressed in terms of nondimensional hydrodynamic force and its components, namely added mass and damping coefficients. Several parametric studies are conducted to evaluate the effects of depth of submergence, frequency and the amplitude of oscillations on the hydrodynamic functions. The results are compared with the classical solution for a vibrating lamina in an infinite fluid as the limit case and with a recent study using Smoothed Particle Hydrodynamics (SPH) analysis in the presence of a freesurface.

Original languageEnglish (US)
DOIs
StatePublished - 2014
Externally publishedYes
EventASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 - Montreal, Canada
Duration: Nov 14 2014Nov 20 2014

Other

OtherASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
CountryCanada
CityMontreal
Period11/14/1411/20/14

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Unsteady stokes flow for a vibrating cantilever under a free-surface'. Together they form a unique fingerprint.

Cite this