Finite amplitude underwater torsional vibrations of cantilevers

Matteo Aureli, Christopher Pagano, Maurizio Porfiri

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

Abstract

In this paper, we analyze nonlinear torsional vibrations of thin rectangular cross section cantilever beams undergoing mod-erately large base excitation within a quiescent viscous fluid. The structure is modeled as a linear Euler-Bernoulli beam while the distributed hydrodynamic loading acting on the vibrating structure is described via a nonlinear complex valued hydrody-namic function which incorporates added mass and fluid damp-ing caused by moderately large rotations. Results of a two di-mensional computational fluid dynamics parametric analysis of a pitching rigid lamina, representative of a generic beam cross section, are employed to study the dependence of the hydrody-namic function on the governing flow parameters. We find that, as the frequency and amplitude of the oscillation increase, vor-ticity shedding and convection increase, thus resulting into non-linear hydrodynamic damping. We derive a tractable form for the hydrodynamic function suitable for studying the nonlinear fluid-structure interactions in large amplitude torsional underwater vibrations. We establish a reduced order nonlinear modal model based on these findings and we validate theoretical predictions against experimental results on underwater torsional vibrations of flexible cantilevers.

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
Pages629-636
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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    Aureli, M., Pagano, C., & Porfiri, M. (2012). Finite amplitude underwater torsional vibrations of cantilevers. In ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012 (pp. 629-636). (ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012; Vol. 3). https://doi.org/10.1115/DSCC2012-MOVIC2012-8574