Finite amplitude vibrations of square cross section beams in viscous fluids

Catherine N. Phan, Maurizio Porfiri

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we investigate the flexural vibrations of a cantilever beam of square cross section that is immersed in a quiescent viscous fluid. The cantilever beam is subject to base excitations with oscillation amplitudes comparable to the beam thickness. The structure is modeled using linear Euler-Bernoulli beam theory and the fluid-structure interaction is described via a nonlinear complex-valued hydrodynamic function which accounts for the added mass and damping contribution from the encompassing fluid. We formulate a hydrodynamic function that is appropriate for finite vibration amplitudes and a broad range of frequencies by conducting a 2D parametric computational fluid dynamics analysis. The proposed function is expressed in terms of the classical hydrodynamic function for unsteady Stokes flow plus a nonlinear correction that is a function of amplitude and frequency of vibration. Results from the 2D parametric analysis shows that moderately large amplitude oscillations promote nonlinear hydrodynamic damping. The proposed theoretical model is illustrated through the analysis of underwater vibrations and theoretical results are compared with experimental findings.

Original languageEnglish (US)
Title of host publicationASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
Pages661-668
Number of pages8
DOIs
StatePublished - 2012
EventASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012 - Fort Lauderdale, FL, United States
Duration: Oct 17 2012Oct 19 2012

Publication series

NameASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
Volume3

Other

OtherASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
CountryUnited States
CityFort Lauderdale, FL
Period10/17/1210/19/12

ASJC Scopus subject areas

  • Control and Systems Engineering

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