Effect of an Internal Rotational Nonlinear Attachment on the Vortex-Induced Vibration of a Rigid Circular Cylinder in a Subcritical Incompressible Flow
Tumkur, Ravi K.R.; Pearlstein, Arne J.; Masud, A.; Gendelman, Oleg V.; Bergman, Lawrence A., Vakakis, Alexander F.
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https://hdl.handle.net/2142/99143
Description
Title
Effect of an Internal Rotational Nonlinear Attachment on the Vortex-Induced Vibration of a Rigid Circular Cylinder in a Subcritical Incompressible Flow
Author(s)
Tumkur, Ravi K.R.
Pearlstein, Arne J.
Masud, A.
Gendelman, Oleg V.
Bergman, Lawrence A., Vakakis, Alexander F.
Issue Date
2014-07-06
Keyword(s)
Fluid Dynamics, Incompressible Flows, Vortex Induced Vibration, Energy Harvesting
Abstract
“Vortex-induced vibration” (VIV) of a sprung cylinder is a familiar fluid-structure interaction phenomenon occurring over
a wide range of flow Reynolds number (Re). From a dynamical systems perspective, at critical Reynolds number (Rec), the fixed point
of the wake oscillator loses its stability resulting in limit-cycle oscillation, which is a well known supercritical Hopf bifurcation. In this
paper, we discuss the relation between the critical Reynolds number (Rec) for the Hopf bifurcation and the stiffness of the cylinder
for a sprung rigid circular cylinder. In addition, we introduce a rotational “nonlinear energy sink” (NES) into the system and study its
effect on Rec in subcritical flow regime.
Publisher
Institute of Mechanics and Mechatronics, Technical University of Vienna, Austria, A-1040 Vienna, Austria.
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