A Two-Dimensional Numerical Investigation of the Hysteresis Effect on Vortex Induced Vibration on an Elastically Mounted Rigid Cylinder

[+] Author and Article Information
Juan B. V. Wanderley1

 LabOceano, Rio de Janeiro, RJ, Braziljuanw@peno.coppe.ufrj.br

Sergio H. Sphaier

 LabOceano, Rio de Janeiro, RJ, BrazilSphaier@peno.coppe.ufrj.br

Carlos Levi

 LabOceano, Rio de Janeiro, RJ, BrazilLevi@peno.coppe.ufrj.br


Corresponding author.

J. Offshore Mech. Arct. Eng 134(2), 021801 (Dec 02, 2011) (6 pages) doi:10.1115/1.4004512 History: Received August 10, 2009; Revised November 15, 2010; Published December 02, 2011; Online December 02, 2011

The hysteresis effect on the vortex induced vibration (VIV) on a circular cylinder is investigated by the numerical solution of the two-dimensional Reynolds averaged Navier-Stokes equations. An upwind and total variation diminishing (TVD) conservative scheme is used to solve the governing equations written in curvilinear coordinates and the k-ɛ turbulence model is used to simulate the turbulent flow in the wake of the body. The cylinder is supported by a spring and a damper and free to vibrate in the transverse direction. In previous work, numerical results for the amplitude of oscillation and vortex shedding frequency were compared to experimental data obtained from the literature to validate the code for VIV simulations. In the present work, results of practical interest are presented for the power absorbed by the system, phase angle, amplitude, frequency, and lift coefficient. The numerical results indicate that the hysteresis effect is observed only when the frequency of vortex shedding gets closer to the natural frequency of the structure in air.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

Grid generated around a circular cylinder with 200 × 200 points (a) entire grid, and (b) details of the grid close to the body

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Figure 2

Setup adopted in the experimental and numerical investigations

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Figure 3

Amplitude of oscillation as a function of reduced velocity

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Figure 4

A comparison between experimental and numerical results for the frequency ratio

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Figure 5

Hysteresis effect on the amplitude of oscillation

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Figure 6

Hysteresis effect on the frequency of vortex shedding

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Figure 7

Hysteresis effect on the phase angle

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Figure 8

Power absorbed by the system

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Figure 9

Vortex shedding modes 2P and 2S



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