Abstract

A variety of contemporary test data for elastically mounted cylinders, with the freedom to oscillate under one degree-of-freedom (1DOF, i.e., cross-flow) and 2DOF (i.e., cross-flow and in-line) were evaluated and compared against the conventional Strouhal number relationship. It is well established for vortex-induced vibration (VIV) that the eddy-shedding frequency will synchronize with the near-resonant motions of a dynamically oscillating cylinder, such that the resultant bandwidth of lock-in exhibits a wider range of effective Strouhal numbers than that reflected in the narrow-banded relationship about a mean of 0.2. However, whilst cylinders oscillating under 1DOF exhibit a mean Strouhal number of 0.2 consistent with fixed/stationary cylinders, cylinders with 2DOF exhibit a much lower mean Strouhal number of around 0.14–0.15.

References

1.
Strouhal
,
V.
,
1878
, “
Ueber Eine Besondere Art der Tonerregung
,”
Ann. Phys.
,
241
(
10
), pp.
216
251
.
2.
DNV GL
,
2017
, “
Environmental Conditions and Environmental Loads
”, Recommended Practice DNVGL-RP-C205. Det Norske Veritas Germanischer Lloyd.
3.
DNV GL
,
2017
, “
Riser Fatigue
”, Recommended Practice DNVGL-RP-F204. Det Norske Veritas Germanischer Lloyd.
4.
Marcollo
,
H.
,
Potts
,
A. E.
,
Johnstone
,
D. R.
,
Pezet
,
P.
, and
Kurts
,
P.
,
2016
, “
Drag Reduction and VIV Suppression Behaviour of LGS Technology Integral to Drilling Riser Buoyancy Units
,”
Proceedings of the 35th OMAE Conference
,
Busan, South Korea
,
June 19–24
, p. 10, Paper No. OMAE2016-54689.
5.
Diana
,
G.
,
Cosmai
,
U.
,
Laneville
,
A.
,
Manenti
,
A.
,
Hearnshaw
,
D.
, and
Papailiou
,
K. O.
,
2006
, “Aeolian Vibration,”
EPRI Transmission Line Reference Book—Wind-Induced Conductor Motion
, 2nd ed.,
Electric Power Research Institute
,
Palo-Alto, CA
, p.
158
.
6.
Griffin
,
O. M.
,
Skop
,
R. A.
, and
Ramberg
,
S. E.
,
1975
, “
Some Resonant Vibration Properties of Marine Cables With Application to the Prediction of Vortex-Induced Structural Vibration
,”
Proceedings of the Ocean Engineering Mechanics
,
Houston, TX
,
Nov. 30–Dec. 5
, pp.
29
42
.
7.
Resvanis
,
T. L.
,
Jhingran
,
V.
,
Vandiver
,
J. K.
, and
Liapis
,
S.
,
2012
, “
Reynolds Number Effects on the Vortex-Induced Vibration of Flexible Marine Risers
,”
Proceedings of the 31st OMAE Conference
,
Rio de Janeiro, Brazil
,
July 1–6
, pp.
751
760
.
8.
Lienhard
,
J. H.
,
1966
,
Synopsis of Lift, Drag, and Vortex Frequency Data for Rigid Circular Cylinders, Technical Extension Service
,
Washington State University
,
Pullman, WA
.
9.
Vandiver
,
J. K.
, and
Marcollo
,
H.
,
2003
, “
High Mode Number VIV Experiments
,”
IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments
,
New Jersey, NY
,
June 2
, 1st ed., Vol.
75
,
Springer, Dordrecht
, pp.
211
231
.
10.
Sarpkaya
,
T.
, and
Isaacson
,
M.
,
1981
,
Mechanics of Wave Forces on Offshore Structures
,
Van Nostrand Reinhold Company Inc
,
USA
.
11.
Blevins
,
R. D.
,
2001
,
Flow-Induced Vibration
, 2nd ed.,
Krieger Publishing Company
,
Malabar, FL
.
12.
Roshko
,
A.
,
1953
,
On the Development of Turbulent Wakes from Vortex Streets
, Technical Note NACA-TN-2913,
National Advisory Committee for Aeronautics (NACA)
,
Washington, DC, VA
.
13.
Roshko
,
A.
,
1954
,
On the Development of Turbulent Wakes from Vortex Streets
, Technical Report NACA-TR-1191,
National Advisory Committee for Aeronautics (NACA)
,
Pasadena, CA
.
14.
Kovasznay
,
L. S. G.
,
1949
, “
Hot-Wire Investigation of the Wake Behind Cylinders at Low Reynolds Numbers
,”
Proc. R. Soc. London, A
,
198
(
1053
), pp.
174
190
.
15.
Tritton
,
D. J.
,
1959
, “
Experiments on the Flow Past a Circular Cylinder at Low Reynolds Numbers
,”
J. Fluid Mech.
,
6
(
4
), pp.
547
567
.
16.
Delany
,
N. K.
, and
Sorensen
,
N. E.
,
1953
,
Low-Speed Drag of Cylinders of Various Shapes
, Technical Report NACA-TN-3038,
National Advisory Committee for Aeronautics (NACA)
,
Moffet Field, CA
.
17.
Roshko
,
A.
,
1961
, “
Experiments on the Flow Past a Circular Cylinder at Very High Reynolds Number
,”
J. Fluid Mech.
,
10
(
3
), pp.
345
356
.
18.
Yin
,
D.
,
Lie
,
H.
, and
Baarholm
,
R. J.
,
2017
, “
Prototype Reynolds Number VIV Tests on a Full-Scale Riser
,”
Proceedings of the 36th OMAE Conference
,
Trondheim, Norway
,
June 25–30
, Paper No. OMAE2017-61415.
19.
Kraus
,
M.
, and
Hagedorn
,
P.
,
1991
, “
Aeolian Vibrations: Wind Energy Input Evaluated From Measurements on an Energized Transmission Line
,”
IEEE Trans. Power Delivery
,
6
(
3
), pp.
1264
1270
.
20.
Hardy
,
C.
, and
Van Dyke
,
P.
,
1995
, “
Field Observations on Wind-Induced Conductor Motions
,”
J. Fluids Struct.
,
9
(
1
), pp.
43
60
.
21.
Schewe
,
G.
,
1983
, “
On the Force Fluctuations Acting on a Circular Cylinder in Crossflow From Subcritical up to Transcritical Reynolds Numbers
,”
J. Fluid Mech.
,
133
, pp.
265
285
.
22.
Almosnino
,
D.
, and
McAlister
,
K. W.
,
1984
,
Water-Tunnel Study of Transition Flow Around Circular Cylinders
, Technical Memorandum NASA-TM-85879,
National Aeronautics and Space Administration (NASA)
,
Moffet Field, CA
.
23.
Bearman
,
P. W.
,
1969
, “
On Vortex Shedding From a Circular Cylinder in the Critical Reynolds Number Regime
,”
J. Fluid Mech.
,
37
(
3
), pp.
577
585
.
24.
Hinsberg
,
V.
,
Paul
,
N.
,
Lückhof
,
J. M.
, and
Nuhn
,
J.
,
2014
, “
The Reynolds Number Effect From Subcritical to High Transcritical on the Steady and Unsteady Loading on a Rough Circular Cylinder
,”
Proceedings of the 9th European Conference on Structural Dynamics
,
Porto, Portugal
,
June 30–July 2
, pp.
3211
3218
.
25.
Jones
,
G. W.
,
Cincotta
,
J. J.
, and
Walker
,
R. W.
,
1969
,
Aerodynamic Forces on a Stationary and Oscillating Circular Cylinder at High Reynolds Numbers
,
National Aeronautics and Space Administration (NASA)
,
Hampton, VA
.
26.
Loiseau
,
H.
, and
Szechenyi
,
E.
,
1974
, “Dynamic Lift on a Cylinder in High Reynolds Number Flow,”
Flow Induced Structural Vibrations
, 1st ed.,
Springer-Verlag
,
Berlin
, pp.
755
761
.
27.
Cheung
,
J. C. K.
, and
Melbourne
,
W. H.
,
1983
, “
Turbulence Effects on Some Aerodynamic Parameters of a Circular Cylinder at Supercritical Numbers
,”
J. Wind. Eng. Ind. Aerodyn.
,
14
(
1–3
), pp.
399
410
.
28.
Trim
,
A. D.
,
Braaten
,
H.
,
Lie
,
H.
, and
Tognarelli
,
M. A.
,
2005
, “
Experimental Investigation of Vortex-Induced Vibration of Long Marine Risers
,”
J. Fluids Struct.
,
21
(
3
), pp.
335
361
.
29.
Vandiver
,
J. K.
,
Marcollo
,
H.
,
Swithenbank
,
S.
, and
Jhingran
,
V.
,
2005
, “
High Mode Number Vortex-Induced Vibration Field Experiments
,”
Proceedings of the Offshore Technology Conference
,
Houston, TX
,
May 2–5
.
30.
Lie
,
H.
,
Mo
,
K.
, and
Vandiver
,
J. K.
,
1998
, “
VIV Model Test of a Bare-and a Staggered Buoyancy Riser in a Rotating Rig
,”
Proceedings of the Offshore Technology Conference
,
Houston, TX
,
May 4–7
.
31.
Oceanic Consulting Corporation
,
2004
, “
Supplemental VIV Experiments With a Cylinder at High Reynolds Numbers
”, DSC003-01.
32.
AMOG Consulting
,
2016
, “
LGS Large Scale High Reynolds Test Report r2015.j093.004
,” AMOG Consulting, Melbourne, VIC, Australia.
33.
Braaten
,
H.
,
Lie
,
H.
, and
Skaugset
,
K.
,
2008
, “
Higher Order Modal Response of Riser Fairings
,”
Proceedings of the OMAE2008 Vol. 5: Materials Technology; CFD and VIV
,
Estoril, Portugal
, June 15–20, pp.
969
978
.
34.
Dahl
,
J.
,
2008
, “
Vortex-Induced Vibration of a Circular Cylinder with Combined In-Line and Cross-Flow Motion
,” Doctoral Thesis,
Massachusetts Institute of Technology
,
Cambridge, MA
.
35.
de Wilde
,
J. J.
, and
Huijsmans
,
R. H. M.
,
2001
, “
Experiments for High Reynolds Numbers VIV on Risers
,”
Presented at the Eleventh International Offshore and Polar Engineering Conference
,
Kitakyushu, Japan
,
May 25–31
.
36.
Eaddy
,
M.
,
2004
, “
Lift Forces on Smooth and Rough Cylinders in Low and High Turbulence Flows
,” Doctoral Thesis,
Monash University
,
Melbourne, VIC, Australia
.
37.
Feng
,
C. C.
,
1968
, “
The Measurement of Vortex Induced Effects in Flow Past Stationary and Oscillating Circular and D-Section Cylinders
,”
Masters Thesis
,
University of British Colombia
,
Vancouver, BC, Canada
.
38.
Fujita
,
K.
,
Ikegami
,
Y.
,
Kobayashi
,
K.
, and
Ohashi
,
M.
,
1998
, “
Experimental Studies on Fluctuating Lift Force on a Single Circular Cylinder at High Reynolds Numbers
,”
J. Wind Eng.
,
1988
(
37
), pp.
73
82
. .
39.
Gerrard
,
J. H.
,
1955
, “
Measurements of the Sound from Circular Cylinders in an Air Stream
,”
Proc. Phys. Soc. Section B
,
68
(
7
), p. 453.
40.
Gerrard
,
J. H.
,
1961
, “
An Experimental Investigation of the Oscillating Lift and Drag of a Circular Cylinder Shedding Turbulent Vortices
,”
J. Fluid Mech.
,
11
(
2
), pp.
244
256
.
41.
Halse
,
K. H.
,
Knut
,
M.
, and
Lie
,
H.
,
1999
, “
Vortex Induced Vibrations of a Catenary Riser
,”
Proceedings of the 3rd International Symposium on Cable Dynamics
,
Trondheim, Norway
, pp.
103
110
.
42.
Huse
,
E.
,
Kleiven
,
G.
, and
Nielsen
,
F. G.
,
1998
, “
Large Scale Model Testing of Deep Sea Risers
,”
Presented at the Offshore Technology Conference
,
Houston, TX
, Vol. OTC-8701-MS. http://dx.doi.org.10.4043/8701-MS
43.
Lenhert
,
V. R.
,
1937
, “
Akustische Messugun an Wirbelstrassen hinten Kreiszylinder und Ebener Platte
,”
Physik Zeitschrift
,
38
, p.
476
.
44.
Lie
,
H.
,
Mo
,
K.
, and
Vandiver
,
J. K.
,
1998
, “
VIV Model Test of a Bare-and a Staggered Buoyancy Riser in a Rotating Rig
,”
Presented at the Offshore Technology Conference
,
Houston, TX
, Paper No. OTC-8700-MS.
45.
Mulcahy
,
T. M.
,
1984
, “
Fluid Forces on a Rigid Cylinder in Turbulent Crossflow
,”
Proceedings of the American Society of Mechanical Engineers
,
New Orleans, LA
.
46.
Norberg
,
C.
,
1992
, “
Pressure Forces on a Circular Cylinder in Cross Flow
,”
Proceedings of the Bluff Body Wakes, Dynamics and Instabilities
,
Gottingen, Germany
, p.
4
.
47.
Potts
,
D. A.
,
2018
, “
An Investigation of Structural Damping of Helically Laid Cables
,”
Honours Thesis
,
Victoria University
,
Melbourne, VIC, Australia
.
48.
Reid
,
D. L.
,
1993
, “
The Forces Upon an Elastically Mounted Rigid Circular Cylinder Exposed to Combined Steady and Planar Oscillatory Flows
,”
Doctoral Thesis
,
Monash University
,
Clayton, VIC, Australia
.
49.
Relf
,
E. F.
,
1921
, “
XVII. On the Sound Emitted by Wires of Circular Section When Exposed to an Air-Current
,”
Lond. Edinb. Dublin Philos. Mag. J. Sci.
,
42
(
247
), pp.
173
176
. .
50.
Relf
,
E. F.
, and
Simmons
,
L. F. G.
,
1925
, “
LIII. On the Frequency of the Eddies Generated by the Motion of Circular Cylinders Through a Fluid
,”
Lond. Edinb. Dublin Philos. Mag. J. Sci.
,
49
(
290
), pp.
509
511
.
51.
Swithenbank
,
S. B.
,
Vandiver
,
J. K.
,
Larsen
,
C. M.
, and
Lie
,
H.
,
2008
, “
Reynolds Number Dependence of Flexible Cylinder VIV Response Data
,”
Proceedings of the 27th OMAE Conference Vol. 5: Materials Technology; CFD and VIV
,
pp. 503–511.
52.
Tyler
,
E.
,
1931
, “
LXXIII. Vortex Formation behind Obstacles of Various Sections
,”
Lond. Edinb. Dublin Philos. Mag. J. Sci.
,
11
(
72
), pp.
849
890
.
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