This article reports on an experimental study conducted to investigate slosh forces and moments caused by fluid slosh within a partly-filled tank subjected to lateral and longitudinal excitations applied independently. The experiments were performed on a scale model cleanbore and a baffled tank with laterally placed single- and multiple-orifice baffles. The experiments were conducted for three different fill volumes and different types of excitations: continuous harmonic and single-cycle sinusoidal excitations of different amplitudes and discrete frequencies. The dynamic forces and moments caused by fluid slosh with the baffled and cleanbore tank configurations were measured for different fill volumes and excitations using three-axis dynamometers. It is shown that the resulting forces and moments comprise many spectral components that can be associated with the excitation, resonance, and vibration and beat frequencies. Modulation of excitation frequency with the resonant frequency was also evident for all fill conditions and tank configurations when the two were in close proximity. The results also showed that the peak amplifications of forces and moments occur in the vicinity of the resonant frequency. At higher frequencies, the peak magnitudes of the forces, however, reduced significantly to values lower than the inertial forces developed by an equivalent rigid mass. At a given excitation condition, the slosh force amplitude increased with a decrease in the fill volume. It was also observed that the presence of baffles has negligible effect on the lateral slosh force and the corresponding resonant frequency. However, it caused a significant increase in the longitudinal mode resonant frequency. The baffles greatly reduced the amplifications in longitudinal force and pitch moment under longitudinal acceleration excitations.

1.
Strandberg
,
L.
, 1978, “
Lateral Stability of Road Tankers
,” National Road and Traffic Research Institute, Report No. 138A.
2.
Popov
,
G.
,
Sankar
,
S.
, and
Sankar
,
T. S.
, 1993, “
Dynamics of Liquid Sloshing in Baffled and Compartmented Road Containers
,”
J. Fluids Struct.
0889-9746,
7
, pp.
803
821
.
3.
Solaas
,
F.
, and
Faltinsen
,
O. M.
, 1997, “
Combined Numerical and Analytical Solution for Sloshing in Two-Dimensional Tanks of General Shape
,”
J. Ship Res.
0022-4502,
41
, pp.
118
129
.
4.
Abramson
,
H. N.
,
Chu
,
W. H.
, and
Kana
,
D. D.
, 1966, “
Some Studies of Nonlinear Lateral Sloshing in Rigid Containers
,”
ASME Trans. J. Appl. Mech.
0021-8936,
33
(
4
), pp.
777
784
.
5.
Chen
,
W.
,
Haroun
,
M. A.
, and
Liu
,
F.
, 1996, “
Large Amplitude Liquid Sloshing in Seismically Excited Tanks
,”
Earthquake Eng. Struct. Dyn.
0098-8847,
25
, pp.
653
669
.
6.
Yan
,
G.
,
Siddiqui
,
K.
,
Rakheja
,
S.
, and
Modaressi
,
K.
, 2005, “
Transient Fluid Slosh and Its Effect on the Rollover-Threshold Analysis of Partially Filled Conical and Circular Tank Trucks
,”
Int. J. Heavy Vehicle Systems
,
12
(
4
), pp.
323
343
.
7.
Rakheja
,
S.
,
Sankar
,
S.
, and
Ranganathan
,
R.
, 1988, “
Roll Plane Analysis of Articulated Tank Vehicles During Steady Turning
,”
Veh. Syst. Dyn.
0042-3114,
17
, pp.
81
104
.
8.
Ranganathan
,
R.
,
Rakheja
,
S.
, and
Sankar
,
S.
, 1990, “
Influence of Liquid Cargo Shift on the Dynamic Response of Articulated Tank Vehicles
,”
Veh. Syst. Dyn.
0042-3114,
19
, pp.
177
200
.
9.
Kang
,
X.
,
Rakheja
,
S.
, and
Stiharu
,
I.
, 2002, “
Cargo Load Shift and Its Influence on Tank Vehicle Dynamics Under Braking and Turning
,”
Int. J. Heavy Vehicle Systems
,
9
(
3
), pp.
173
203
.
10.
Modaressi-Tehrani
,
K.
,
Rakheja
,
S.
, and
Sedaghati
,
R.
, 2006, “
Analysis of the Overturning Moment Caused by Transient Liquid Slosh Inside a Partly Filled Moving Tank
,”
Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.)
0954-4070,
220
, pp.
289
301
.
11.
Modaressi-Tehrani
,
K.
,
Rakheja
,
S.
, and
Stiharu
,
I.
, 2007, “
Three-Dimensional Analysis of Transient Slosh Within a Partly-Filled Tank Equipped With Baffles
,”
Veh. Syst. Dyn.
0042-3114,
45
(
6
), pp.
525
548
.
12.
Abramson
,
H. N.
,
Chu
,
W. H.
, and
Garza
,
L. R.
, 1963, “
Liquid Sloshing in Spherical Tanks
,”
AIAA J.
0001-1452,
1
(
2
), pp.
384
389
.
13.
Lamb
,
S. H.
, 1945,
Hydrodynamics
, 6th ed.,
Dover
,
New York
.
14.
Silvermann
,
S.
, and
Abramson
,
H.
, 1966, “
Lateral Sloshing in Moving Containers
,”
NASA
, Report No. SP-106.
15.
Cho
,
J. R.
,
Lee
,
H. W.
, and
Ha
,
S. Y.
, 2005, “
Finite Element Analysis of Resonant Sloshing Response in 2-D Baffled Tank
,”
J. Sound Vib.
0022-460X,
288
, pp.
829
845
.
16.
Budiansky
,
B.
, 1960, “
Sloshing of Liquids in Circular Canals and Spherical Tanks
,”
J. Aerosp. Sci.
0095-9820,
27
(
3
), pp.
2601
2606
.
17.
Mciver
,
P.
, 1989, “
Slosh Frequencies for Cylindrical and Spherical Containers Filled to Arbitrary Depth
,”
J. Fluid Mech.
0022-1120,
201
, pp.
243
257
.
18.
McCarty
,
J. L.
, and
Stephens
,
D. G.
, 1960, “
Investigation of the Natural Frequencies of Fluids in Spherical and Cylindrical Tanks
,” NASA Technical Note No. TN D-252.
19.
Kobayashi
,
N.
,
Mieda
,
T.
,
Shibata
,
H.
, and
Shinozaki
,
Y.
, 1989, “
A Study of the Liquid Slosh Response in Horizontal Cylindrical Tanks
,”
ASME J. Pressure Vessel Technol.
0094-9930,
111
, pp.
32
38
.
20.
Bauer
,
H. F.
, 1963, “
Liquid Sloshing in a Cylindrical Quarter Tank
,”
AIAA J.
0001-1452,
1
(
11
), pp.
2601
2606
.
21.
Romero
,
J. A.
,
Hildebrand
,
R.
,
Martinez
,
M.
,
Ramirez
,
O.
, and
Fortanell
,
J. M.
, 2005, “
Natural Sloshing of Liquid Cargo in Road Tankers
,”
Int. J. Heavy Vehicle System
,
12
(
2
), pp.
121
138
.
22.
Abramson
,
H. N.
, and
Garza
,
L. R.
, 1965, “
Liquid Frequencies and Damping in Compartmented Cylindrical Tanks
,”
AIAA J.
0001-1452,
2
(
3
), pp.
453
455
.
23.
Evans
,
D. V.
, and
Mciver
,
P.
, 1987, “
Resonant Frequencies in a Container With a Vertical baffle
,”
J. Fluid Mech.
0022-1120,
175
, pp.
295
307
.
24.
Popov
,
G.
,
Sankar
,
S.
,
Sankar
,
T. S.
, and
Vatistas
,
G. H.
, 1993, “
Dynamics of Liquid Slosh in Horizontal Cylindrical Road Containers
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
207
, pp.
399
406
.
25.
Lloyd
,
N.
,
Vaiciurgis
,
E.
, and
Langrish
,
T. A. G.
, 2002, “
The Effect of Baffle Design on Longitudinal Liquid Moment in Road Tankers: An Experimental Investigation
,”
Process Saf. Environ. Prot.
0957-5820,
80
, pp.
181
185
.
26.
Younes
,
M. F.
,
Younes
,
Y. K.
,
El-Madah
,
M.
,
Ibrahim
,
I. M.
, and
El-Dannanh
,
E. H.
, 2007, “
An Experimental Investigation of Hydrodynamic Damping Due to Vertical Baffle Arrangements in a Rectangular Tank
,”
Proc. IMechE, Part M: J. Engineering for the Maritime Environment, ”
,
221
, pp.
115
123
.
27.
Miles
,
J. W.
, 1984, “
Internally Resonance Surface Waves in a Circular Cylinder
,”
J. Fluid Mech.
0022-1120,
149
, pp.
1
14
.
28.
Faltinsen
,
O. M.
, 1974, “
A Nonlinear Theory of Sloshing in Rectangular Ranks
,”
J. Ship Res.
0022-4502,
18
(
4
), pp.
224
241
.
29.
Morand
,
H. J. P.
, and
Ohayon
,
R.
, 1989, “
Finite Element Method Applied to the Prediction of the Vibrations of Liquid-Propelled Launch Vehicle
,”
PVP (Am. Soc. Mech. Eng.)
0277-027X,
176
, pp.
75
84
.
30.
Ibrahim
,
R. A.
,
Pilipchuk
,
V. N.
, and
Ikeda
,
T.
, 2001, “
Recent Advances in Liquid Slosh Dynamics
,”
Appl. Mech. Rev.
0003-6900,
54
(
2
), pp.
133
199
.
31.
Rhee
,
S. H.
, 2005, “
Unstructured Grid Based Reynolds-Averaged Navier-Stokes Method for Liquid Sloshing
,”
ASME J. Fluids Eng.
0098-2202,
127
, pp.
572
582
.
32.
Kang
,
X.
,
Rakheja
,
S.
, and
Stiharu
,
I.
, 1999, “
Optimal Tank Geometry to Enhance Static Roll Stability of Partially Filled Tank Vehicles
,”
SAE Truck and Bus Meeting and Exhibition
, Detroit, MI, Nov. 14–17, Proceedings Vol.
SP-1486
, SAE Paper No. 1999-01-3730.
33.
Code of Federal Regulations (CFR), 2006, Title 49, Pt. 178.
34.
EI-Gindy
,
M.
, 1995, “
An Overview of Performance Measures for Heavy Commercial Vehicles in North America
,”
Int. J. Veh. Des.
0143-3369,
16
(
4/5
), pp.
441
463
.
35.
Graham
,
K. S.
, 2000,
Fundamentals of Mechanical Vibrations
, 2nd ed.,
McGraw-Hill
,
New York
.
36.
Winkler
,
C. B.
, and
Ervin
,
R. D.
, 1999, “
Rollover of Heavy Commercial Vehicles
,” The University of Michigan Transportation Research Institute, Final Report No. UMTRI-99-19.
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