This study experimentally investigates the flow-induced vibration (FIV) of a flexibly mounted triangular prism with two degrees of freedom (DoF), capable of oscillating in its first two vibrational modes in the crossflow direction. The experiments were conducted by varying the angle of attack (α) in the range of 0°–60° and eigenfrequency ratio (R), which is the ratio between the second and first eigenfrequency, from R = 1.5 to 3. For α = 0° and 15°, no significant oscillations were observed. At α=30°, both vortex-induced vibration (VIV) and galloping-type response were detected. For higher angles of attack, α = 45° and 60°, a pure galloping type response was identified. Hydrogen bubble flow visualization was employed to analyze the vortex-dominated wake and to discern the nature of the FIV response—whether it was VIV or galloping. Although the prism was free to oscillate in both its first and second modes, only the first mode contributed to the FIV response at α = 45° and 60°, where galloping was dominant. The FIV response remained primarily influenced by the first mode, except when mode two was externally excited, resulting in pronounced hard mode-two galloping behavior. Because mode one predominantly drives the system's overall FIV response, variations in the eigenfrequency ratio had minimal impact on the system's overall FIV behavior.

1.
A.
Khalak
and
C.
Williamson
, “
Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping
,”
J. Fluids Struct.
13
,
813
851
(
1999
).
2.
T.
Sarpkaya
, “
A critical review of the intrinsic nature of vortex-induced vibrations
,”
J. Fluids Struct.
19
,
389
447
(
2004
).
3.
R.
Govardhan
and
C. H. K.
Williamson
, “
Resonance forever: Existence of a critical mass and an infinite regime of resonance in vortex-induced vibration
,”
J. Fluid Mech.
473
,
147
166
(
2002
).
4.
P. W.
Bearman
, “
Vortex shedding from oscillating bluff bodies
,”
Annu. Rev. Fluid Mech.
16
,
195
222
(
1984
).
5.
K.
Raghavan
and
M.
Bernitsas
, “
Experimental investigation of Reynolds number effect on vortex induced vibration of rigid circular cylinder on elastic supports
,”
Ocean Eng.
38
,
719
731
(
2011
).
6.
M.
Zhao
, “
Flow-induced vibrations of square and rectangular cylinders at low Reynolds number
,”
Fluid Dyn. Res.
47
,
025502
(
2015
).
7.
T.
Massai
,
J.
Zhao
,
D. L.
Jacono
,
G.
Bartoli
, and
J.
Sheridan
, “
The effect of angle of attack on flow-induced vibration of low-side-ratio rectangular cylinders
,”
J. Fluids Struct.
82
,
375
393
(
2018
).
8.
W.
Chen
,
C.
Ji
,
M. M.
Alam
,
D.
Xu
,
H.
An
,
F.
Tong
, and
Y.
Zhao
, “
Flow-induced vibrations of a d-section prism at a low Reynolds number
,”
J. Fluid Mech.
941
,
A52
(
2022
).
9.
W.
Chen
,
Y.
Zhao
,
C.
Ji
,
N.
Srinil
, and
L.
Song
, “
Experimental observation of flow-induced vibrations of a transversely oscillating d-section prism
,”
Phys. Fluids
33
,
091701
(
2021
).
10.
B.
Seyed-Aghazadeh
,
D. W.
Carlson
, and
Y.
Modarres-Sadeghi
, “
Vortex-induced vibration and galloping of prisms with triangular cross-sections
,”
J. Fluid Mech.
817
,
590
618
(
2017
).
11.
W.
Chen
,
C.
Ji
,
D.
Xu
,
Z.
Zhang
, and
Y.
Wei
, “
Flow-induced vibrations of an equilateral triangular prism at various angles of attack
,”
J. Fluids Struct.
97
,
103099
(
2020
).
12.
V.
Tamimi
,
S. T. O.
Naeeni
,
M.
Zeinoddini
,
M. S.
Seif
, and
M. D.
Pirooz
, “
Effects of after-body on the FIV of a right-angle triangular cylinder in comparison to circular, square, and diamond cross-sections
,”
Ships Offshore Struct.
14
,
589
599
(
2019
).
13.
G.
Alonso
,
J.
Meseguer
, and
I.
Pérez-Grande
, “
Galloping instabilities of two-dimensional triangular cross-section bodies
,”
Exp. Fluids
38
,
789
795
(
2005
).
14.
G.
Alonso
and
J.
Meseguer
, “
A parametric study of the galloping stability of two-dimensional triangular cross-section bodies
,”
J. Wind Eng. Ind Aerodyn.
94
,
241
253
(
2006
).
15.
H.
Wang
,
D.
Zhao
,
W.
Yang
, and
G.
Yu
, “
Numerical investigation on flow-induced vibration of a triangular cylinder at a low Reynolds number
,”
Fluid Dyn. Res.
47
,
015501
(
2014
).
16.
X.
Liu
,
N.
Gui
,
H.
Wu
,
X.
Yang
,
J.
Tu
, and
S.
Jiang
, “
Numerical simulation of flow past a triangular prism with fluid–structure interaction
,”
Eng. Appl. Comput. Fluid Mech.
14
,
462
476
(
2020
).
17.
E. M.
Alawadhi
, “
Numerical simulation of fluid flow past an oscillating triangular cylinder in a channel
,”
J. Fluids Eng.
135
,
041202
(
2013
).
18.
J.
Zhang
,
G.
Xu
,
F.
Liu
,
J.
Lian
, and
X.
Yan
, “
Experimental investigation on the flow induced vibration of an equilateral triangle prism in water
,”
Appl. Ocean Res.
61
,
92
100
(
2016
).
19.
H. B.
Zhu
,
H.
Ping
,
R.
Wang
,
Y.
Bao
,
D.
Zhou
, and
Z. L.
Han
, “
Flow-induced vibration of a flexible triangular cable at low Reynolds numbers
,”
Phys. Fluids
31
,
057101
(
2019
).
20.
J. P.
Den Hartog
,
Mechanical Vibrations
(
Courier Corporation
,
1985
).
21.
H.
Zhu
,
H.
Ping
,
R.
Wang
,
Y.
Bao
,
D.
Zhou
,
X.
Wei
, and
Z.
Han
, “
Dynamic response of a cable with triangular cross section subject to uniform flow at Reynolds number 3900
,”
Phys. Fluids
32
,
045103
(
2020
).
22.
S.
Mousavisani
,
H.
Samandari
, and
B.
Seyed-Aghazadeh
, “
Experimental investigation of flow-induced vibration and flow field characteristics of a flexible triangular cylinder
,”
J. Fluid Mech.
979
,
A15
(
2024
).
23.
S.
Mousavisani
,
N. N.
Chowdhury
,
H.
Samsam-Khayani
,
H.
Samandari
, and
B.
Seyed-Aghazadeh
, “
Vortex-induced vibration of a two degree-of-freedom flexibly mounted circular cylinder in the crossflow direction
,”
J. Fluid Mech.
952
,
A26
(
2022
).
24.
J.
Zhao
,
J.
Leontini
,
D.
Lo Jacono
, and
J.
Sheridan
, “
Fluid–structure interaction of a square cylinder at different angles of attack
,”
J. Fluid Mech.
747
,
688
721
(
2014
).
25.
C.
Williamson
and
R.
Govardhan
, “
Vortex-induced vibrations
,”
Annu. Rev. Fluid Mech.
36
,
413
455
(
2004
).
26.
Y.
Modarres-Sadeghi
,
Introduction to Fluid-Structure Interactions
(
Springer Nature
,
2022
).
27.
J.
Lian
,
X.
Yan
,
F.
Liu
,
J.
Zhang
,
Q.
Ren
, and
X.
Yang
, “
Experimental investigation on soft galloping and hard galloping of triangular prisms
,”
Appl. Sci.
7
,
198
(
2017
).
28.
J.
Zhang
,
F.
Liu
,
J.
Lian
,
X.
Yan
, and
Q.
Ren
, “
Flow induced vibration and energy extraction of an equilateral triangle prism at different system damping ratios
,”
Energies
9
,
938
(
2016b
).
29.
N.
Jauvtis
and
C.
Williamson
, “
The effect of two degrees of freedom on vortex-induced vibration at low mass and damping
,”
J. Fluid Mech.
509
,
23
(
2004
).
30.
Z.
Cheng
,
F.-S.
Lien
,
E. H.
Dowell
, and
E.
Yee
, “
Triggering of galloping in structures at low Reynolds numbers
,”
J. Fluids Struct.
118
,
103860
(
2023
).
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