Interference effects on vortex-induced vibrations of two side-by-side elastic cylinders, fixed at both ends (with no deflection and displacement) in a cross-flow, were experimentally investigated. The dynamic responses of the cylinders were measured using two fiber-optic Bragg grating (FBG) sensors. Simultaneously, a single hot wire was used to measure the velocity in the wake. It has been previously observed that violent resonance occurs when transverse cylinder spacing ratio, T/d, is either large (>2.0) or small (<1.2), but not for intermediate cylinder spacing, i.e., T/d=1.22.0. This work aims to improve the understanding of the physics behind this observation, and mostly focuses on the fluid-structure interaction in the flow regime of intermediate cylinder spacing. It is well known that in this flow regime the fluid dynamics around one cylinder is totally different from that around the other; the vortical structures are characterized by different dominant frequencies, i.e., about 0.1 and 0.3 (normalized), respectively. The present data indicates that the vortical structures at these frequencies are either weak or different in the formation process from the case of T/d>2.0 or T/d<1.2, thus resulting in a weak excitation and subsequently an absence of violent resonance. The interrelationship between the vortical structures generated by the two cylinders is also investigated and interpreted in terms of different vortex generation mechanisms. The different fluid dynamics around each cylinder is further found to be responsible for a deviation between the natural frequencies of the combined fluid-cylinder system associated with each cylinder.

1.
Blevins, R. D., 1994, Flow-Induced Vibration, Krieger Publishing Company, Malabar, Florida, p. 313.
2.
Ziada, S., and Staubli, T., eds., 2000, Flow-Induced Vibration, A. A. Balkema, Rotterdam, Netherlands.
3.
Chen, S. S., 1987, Flow-Induced Vibration of Circular Cylindrical Structures, Hemisphere Publishing Corporation, Washington, DC, pp. 52–55; 457–461.
4.
Landweber, L., 1942, “Flow About a Pair of Adjacent, Parallel Cylinders Normal to a Stream,” D. W. Taylor Model Basin, Department of the Navy, Report 485, Washington, DC.
5.
Williamson
,
C. H. K.
,
1985
, “
Evolution of a Single Wake Behind a Pair of Bluff Bodies
,”
J. Fluid Mech.
,
159
, pp.
1
18
.
6.
Ishigai
,
S.
,
Nishikawa
,
E.
,
Nishmura
,
K.
, and
Cho
,
K.
,
1972
, “
Experimental Study on Structure of Gas Flow in Tube Banks With Tube Axes Normal to Flow—Part 1: Karman Vortex Flow Around Two Tubes at Various Spacings
,”
Bull. JSME
,
15
, pp.
949
956
.
7.
Bearman
,
P. W.
, and
Wadcock
,
A. J.
,
1973
, “
The Interference Between a Pair of Circular Cylinders Normal to a Stream
,”
J. Fluid Mech.
,
61
, pp.
499
511
.
8.
Kim
,
H. J.
, and
Durbin
,
P. A.
,
1988
, “
Investigation of the Flow Between a Pair of Circular Cylinders in the Flopping Regime
,”
J. Fluid Mech.
,
196
, pp.
431
448
.
9.
Sumner
,
D.
,
Wong
,
S. S. T.
,
Price
,
S. J.
, and
Paidoussis
,
M. P.
,
1999
, “
Fluid Behavior of Side-by-Side Circular Cylinders in Steady Cross-Flow
,”
J. Fluids Struct.
,
13
, pp.
309
338
.
10.
Mahir
,
N.
, and
Rockwell
,
D.
,
1996
, “
Vortex Formation From a Forced System of Two Cylinders, Part 2: Side-by-Side Arrangement
,”
J. Fluids Struct.
,
10
, pp.
491
500
.
11.
Zhou
,
Y.
,
So
,
R. M. C.
,
Jin
,
W.
,
Xu
,
H. G.
, and
Chan
,
P. K. C.
,
1999
, “
Dynamic Strain Measurements of a Circular Cylinder in a Cross Flow Using a Fibre Bragg Grating Sensor
,”
Exp. Fluids
,
27
, pp.
359
367
.
12.
Zhou
,
Y.
,
Wang
,
Z. J.
,
So
,
R. M. C.
,
Xu
,
S. J.
, and
Jin
,
W.
,
2001
, “
Free Vibrations of Two Side-by-Side Cylinders in a Cross Flow
,”
J. Fluid Mech.
,
443
, pp.
197
229
.
13.
So
,
R. M. C.
,
Zhou
,
Y.
, and
Liu
,
M. H.
,
2000
, “
Free Vibrations of an Elastic Cylinder in a Cross Flow and Their Effects on the Near Wake
,”
Exp. Fluids
,
29
, pp.
130
144
.
14.
Jin
,
W.
,
Zhou
,
Y.
,
Chan
,
P. K. C.
, and
Xu
,
H. G.
,
2000
, “
An Optical Fibre Bragg Grating Sensor for Flow-Induced Structural Vibration Measurement
,”
Sens. Actuators
,
79
, pp.
36
45
.
15.
Williamson
,
C. H. K.
,
1996
, “
Vortex Dynamics in the Cylinder Wake
,”
Annu. Rev. Fluid Mech.
,
28
, p.
477
477
.
16.
Prasad
,
A.
, and
Williamson
,
C. H. K.
,
1997
, “
Three-Dimensional Effects in Turbulent Bluff-Body Wakes
,”
J. Fluid Mech.
,
343
, pp.
235
265
.
17.
Zdravkovich
,
M. M.
,
1985
, “
Flow-Induced Oscillations of Two Interfering Circular Cylinders
,”
J. Sound Vib.
,
101
, pp.
511
521
.
18.
Dwyer
,
H. A.
, and
Mccroskey
,
W. J.
,
1973
, “
Oscillating Flow Over a Cylinder at Large Reynolds Number
,”
J. Fluid Mech.
,
61
(
4
), pp.
753
767
.
19.
King
,
R.
,
1977
, “
A Review of Vortex Shedding Research and Its Application
,”
Ocean Eng.
,
4
, pp.
141
171
.
20.
Higuchi
,
H.
,
Kim
,
H. J.
, and
Farell
,
C.
,
1989
, “
On Flow Separation and Reattachment Around a Circular Cylinder at Critical Reynolds Numbers
,”
J. Fluid Mech.
,
200
, pp.
149
171
.
21.
Zhou
,
Y.
, and
Antonia
,
R. A.
,
1994
, “
Effect of Initial Conditions on Structures in a Turbulent Near-Wake
,”
AIAA J.
,
32
, pp.
1207
1213
.
22.
Zhang
,
H. J.
, and
Zhou
,
Y.
,
2001
, “
Effect of Unequal Cylinder Spacing on Vortex Streets Behind Three Side-by-Side Cylinders
,”
Phys. Fluids
,
13
, pp.
3675
3686
.
23.
Zhou
,
Y.
, and
Antonia
,
R. A.
,
1995
, “
Memory Effects in Turbulent Plane Wakes
,”
Exp. Fluids
,
19
, pp.
112
120
.
24.
Roshko, A., 1954, “On the Drag and Shedding Frequency of Bluff Cylinders,” Nat. Adv. Comm. Aero., Wash., Tech. Note 3169.
25.
Prasad
,
A.
, and
Williamson
,
C. H. K.
,
1997
, “
The Instability of the Shear Layer Separating From a Bluff Body
,”
J. Fluid Mech.
,
333
, pp.
375
402
.
26.
Norberg, C., 1987, “Effect of Reynolds Number and a Low-Intensity Freestream Turbulence on the Flow Around a Circular Cylinder,” Dept. Applied Thermodynamics and Fluid Mechanics, Chalmers University of Technology, Publ. 87/2.
27.
Bloor
,
M. S.
,
1964
, “
The Transition to Turbulence in the Wake of a Circular Cylinder
,”
J. Fluid Mech.
,
19
, pp.
290
304
.
28.
Okamoto
,
S.
,
Hirose
,
T.
, and
Adachi
,
T.
,
1981
, “
The Effect of Sound on the Vortex-Shedding From a Circular Cylinder
,”
Bull. JSME
,
24
, pp.
45
53
.
29.
Kourta
,
A.
,
Boisson
,
H. C.
,
Chassaing
,
P.
, and
Ha Minh
,
H.
,
1987
, “
Nonlinear Interaction and the Transition to Turbulence in the Wake of a Circular Cylinder
,”
J. Fluid Mech.
,
181
, pp.
141
161
.
30.
Wei
,
T.
, and
Smith
,
C. R.
,
1986
, “
Secondary Vortices in the Wake of Circular Cylinders
,”
J. Fluid Mech.
,
169
, pp.
513
533
.
31.
Maekawa, T., and Mizuno, S., 1967, “Flow Around the Separation Point and in the Near-Wake of a Circular Cylinder,” Phys. Fluids Suppl. S184.
32.
Rockwell
,
D.
,
1983
, Invited lecture: “
Oscillations of Impinging Shear Layer
,”
AIAA J.
,
21
, pp.
645
664
.
33.
Ho
,
C. M.
, and
Huerre
,
P.
,
1984
, “
Perturbed Free-Shear Layers
,”
Annu. Rev. Fluid Mech.
,
16
, pp.
365
424
.
34.
Michalke
,
A.
,
1984
, “
Survey on Jet Instability Theory
,”
Prog. Aerosp. Sci.
,
21
, pp.
159
199
.
35.
Weaver, W., Timoshenko, S. P., and Young, D. H., 1989, Vibration Problems in Engineering, 5th Ed., John Wiley and Sons, New York, pp. 54–55, 366, 416–466.
36.
Donnell, L. H., 1976, Beams, Plates, and Shells, McGraw-Hill, New York, pp. 84–85.
37.
Nayfeh, A. H., and Mook, D. T., 1995, Nonlinear Oscillations, John Wiley and Sons, New York, pp. 96–97.
You do not currently have access to this content.