Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber

Ravi Kumar R. Tumkur, Elad Domany, Oleg V. Gendelman, Arif Masud, Lawrence A. Bergman, Alexander F. Vakakis

Research output: Contribution to journalArticle

Abstract

The nonlinear interaction of a laminar flow and a sprung rigid circular cylinder results in vortex-induced vibration (VIV) of the cylinder. Passive suppression of the VIV by attaching an internal nonlinear vibration absorber that acts, in essence, as a nonlinear energy sink (NES) to the cylinder has been observed in finite-element computations involving thousands of degrees of freedom (DOF). A single-DOF self-excited oscillator is developed to approximate the limit-cycle oscillation (LCO) of the cylinder undergoing VIV. This self-excited oscillator models the interaction of the flow and the cylinder. Then, a two-DOF reduced-order model for the system with the internal NES is constructed by coupling the single-DOF NES to the single-DOF self-excited oscillator. Hence, the complicated high-dimensional system of flow-cylinder-NES involving thousands of DOF is reduced to a two-DOF model. The two targeted energy transfer mechanisms responsible for passive VIV suppression that are observed in the finite-element computations are fully reproduced using the two-DOF reduced-order model. This reduction of the dynamics to an easily tractable low-dimensional reduced-order model facilitates the approximate analysis of the underlying dynamics. Moreover, the underlying assumptions of the order reduction, and the parameter ranges of validity of the reduced-order model are formulated and systematically studied.

Original languageEnglish (US)
Pages (from-to)1916-1930
Number of pages15
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume18
Issue number7
DOIs
StatePublished - Jul 1 2013

Fingerprint

Vortex-induced Vibration
Reduced Order Model
Absorber
Circular Cylinder
Circular cylinders
Vortex flow
Degree of freedom
Internal
Energy
Finite Element
Laminar flow
Vibration Suppression
Energy transfer
Order Reduction
Nonlinear Vibration
Nonlinear Interaction
Energy Transfer
Laminar Flow
Limit Cycle
High-dimensional

Keywords

  • Nonlinear energy sink
  • Reduced-order model
  • Targeted energy transfer
  • Vortex-induced vibration

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics

Cite this

Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber. / Tumkur, Ravi Kumar R.; Domany, Elad; Gendelman, Oleg V.; Masud, Arif; Bergman, Lawrence A.; Vakakis, Alexander F.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 18, No. 7, 01.07.2013, p. 1916-1930.

Research output: Contribution to journalArticle

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