An explicit analytical solution is derived for sloshing in a cylindrical liquid storage tank with a single-deck type floating roof under seismic excitation. The floating roof is composed of an inner deck, which may be idealized as an isotropic elastic plate with uniform thickness and mass, and connected to an outer pontoon, which can be modeled as an elastic curved beam. The contained liquid is assumed to be inviscid, incompressible, and irrotational. By expanding the response of the floating roof into free-vibration modes in air and applying the Fourier–Bessel expansion technique in cylindrical coordinates, the solution is obtained in an explicit form, which is exact within the framework of linear potential theory. Numerical results are presented to investigate the effect of the type (single-deck or double-deck) and stiffness of the floating roof on the sloshing response.

Issue Section:
Fluid-Structure Interaction
Keywords:
beams (structures), earthquake engineering, elasticity, plates (structures), seismology, sloshing, tanks (containers), vibrations, liquid storage tank, floating roof, single-deck, sloshing, fluid-structure interaction, potential theory, long-period ground motion
Topics:
Roofs, Sloshing, Storage tanks, Excitation, Stiffness, Equations of motion
1.
Hatayama
,
K.
,
Zama
,
S.
,
Nishi
,
H.
,
Yamada
,
M.
,
Hirokawa
,
M.
, and
Inoue
,
R.
, 2005, “
The Damages of Oil Storage Tanks During the 2003 Tokachi-Oki Earthquake and the Long Period Ground Motions
,”
Proceedings of the JSCE-AIJ Joint Symposium on Huge Subduction Earthquakes-Wide Area Strong Ground Motion Prediction
, pp.
7
–
18
, in Japanese.
2.
The Japan Society of Civil Engineers
, 1999,
The 1999 Kocaeli Earthquake, Turkey—Investigation Into Damage to Civil Engineering Structures
,
Japan Society of Civil Engineers
,
Tokyo
.
3.
The Fire and Disaster Management Agency
, 2005, “
On the Enforcement of the Ministerial Ordinance Which Amends a Part of the Rule Concerning the Control of Hazardous Materials
,” Notification 14, in Japanese.
4.
Nakagawa
,
K.
, 1955, “
On the Vibration of an Elevated Water Tank II
,”
Technol. Rep. Osaka Univ.
0030-6177,
5
(
170
), pp.
317
–
336
.
5.
Yamamoto
,
Y.
, 1965, “
The Liquid Sloshing and the Impulsive Pressures of Oil Storage Tanks Due to Earthquakes
,”
Journal of High Pressure Institute of Japan
,
3
(
1
), pp.
2
–
8
.
6.
Sakai
,
F.
,
Nishimura
,
M.
, and
Ogawa
,
H.
, 1984, “
Sloshing Behavior of Floating-Roof Oil Storage Tanks
,”
Comput. Struct.
0045-7949,
19
(
1–2
), pp.
183
–
192
.
7.
Nishiguchi
,
H.
,
Ito
,
M.
,
Honobe
,
H.
, and
Kanoh
,
T.
, 2005, “
Sloshing Action Analysis and Safety Evaluation of the Oil Tank by the Long Period Earthquake Motion
,”
The Thermal and Nuclear Power
,
56
(
581
), pp.
89
–
94
.
8.
Yamauchi
,
Y.
,
Kamei
,
A.
,
Zama
,
S.
, and
Uchida
,
Y.
, 2006, “
Seismic Design of Floating Roof of Oil Storage Tanks Under Liquid Sloshing
,”
Proceedings of the ASME Pressure Vessels and Piping Division Conference
, Vancouver, BC, Canada, pp.
1
–
9
, Paper No. PVP2006-ICPVT11–93280.
9.
Matsui
,
T.
, 2007, “
Sloshing in a Cylindrical Liquid Storage Tank With a Floating Roof Under Seismic Excitation
,”
ASME J. Pressure Vessel Technol.
0094-9930,
129
(
4
), pp.
557
–
566
.
Crossref
Search ADS
 
10.
Abramowitz
,
M.
, and
Stegun
,
I. A.
, 1972,
Handbook of Mathematical Functions
, 9th ed.,
Dover
,
New York
.
11.
Fung
,
Y. C.
, 1965,
Foundations of Solid Mechanics
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
12.
Sakai
,
F.
,
Inoue
,
R.
, and
Hayashi
,
S.
, 2006, “
Fluid-Elastic Analysis and Design of Sloshing in Floating-Roof Tanks Subjected to Earthquake Motions
,”
Proceedings of the ASME Pressure Vessels and Piping Division Conference
, Vancouver, BC, Canada, pp.
1
–
10
, Paper No. PVP2006-ICPVT11–93622.
13.
Vlasov
,
V. Z.
, 1961,
Thin Walled Elastic Beams
, Y. Schechtman, translator, 2nd ed.,
Israel Program for Scientific Translation
,
Jerusalem
.
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 by American Society of Mechanical Engineers
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