Abstract

This study focuses on the modeling of tuned liquid dampers (TLDs) with triangular-bottom, sloped-bottom, parabolic-bottom, and flat-bottom tanks using the linear long wave theory. The energy dissipated by damping screens is modeled theoretically utilizing the method of virtual work. In this proposed model, only the fundamental sloshing mode is considered, and the assumption of small free surface fluid response amplitude is made. Subsequently, the equivalent mechanical properties including effective mass, natural frequency, and damping ratio of the TLDs, having different tank geometries, are compared. It is found that the normalized effective mass ratio values for a parabolic-bottom tank and a sloped-bottom tank with a sloping angle of 20 deg are larger than the normalized effective mass ratio values for triangular-bottom and flat-bottom tanks. An increase in the normalized effective mass ratio indicates that a greater portion of the water inside the tank participates in the sloshing motion. The derived equivalent mechanical models for the TLD tank geometries considered in this study can be used for the preliminary design of structural-TLD systems.

Issue Section:
Research Papers
Keywords:
damping, sloshing, tanks (containers), tuned liquid damper, sloshing, damping, tank, screen, absorber
Topics:
Damping, Sloshing, Wave theory of light
1.
Fediw
,
A. A.
,
Isyumov
,
N.
, and
Vickery
,
B. J.
, 1995, “
Performance of a Tuned Sloshing Water Damper
,”
J. Wind. Eng. Ind. Aerodyn.
0167-6105,
57
(
2–3
), pp.
237
–
247
.
2.
Kaneko
,
S.
, and
Ishikawa
,
M.
, 1999, “
Modeling of Tuned Liquid Damper With Submerged Nets
,”
ASME J. Pressure Vessel Technol.
0094-9930,
121
(
3
), pp.
334
–
343
.
3.
Gardarsson
,
S.
,
Yeh
,
H.
, and
Reed
,
D. A.
, 2001, “
The Behaviour of Sloped-Bottom Tuned Liquid Dampers
,”
J. Eng. Mech.
0733-9399,
127
(
3
), pp.
266
–
271
.
4.
Sun
,
L. M.
,
Fujino
,
Y.
,
Chaiseri
,
P.
, and
Pacheco
,
B. M.
, 1995, “
The Properties of Tuned Liquid Dampers Using a TMD Analogy
,”
Earthquake Eng. Struct. Dyn.
0098-8847,
24
(
7
), pp.
967
–
976
.
5.
Tait
,
M. J.
, 2004, “
The Performance of 1-D and 2-D Tuned Liquid Dampers
,” Ph.D. thesis, University of Western Ontario, London, Canada.
6.
Tait
,
M. J.
, 2008, “
Modelling and Preliminary Design of a Structure-TLD System
,”
Eng. Struct.
0141-0296,
30
(
10
), pp.
2644
–
2655
.
7.
Yu
,
J.
,
Wakahara
,
T.
, and
Reed
,
D. A.
, 1999, “
A Non-Linear Numerical Model of the Tuned Liquid Damper
,”
Earthquake Eng. Struct. Dyn.
0098-8847,
28
(
6
), pp.
671
–
686
.
8.
Warnitchai
,
P.
, and
Pinkaew
,
T.
, 1998, “
Modelling of Liquid Sloshing in Rectangular Tanks With Flow-Dampening Devices
,”
Eng. Struct.
0141-0296,
20
(
7
), pp.
593
–
600
.
9.
Le Méhauté
,
B.
, 1976,
An Introduction to Hydrodynamics and Water Waves
,
Springer-Verlag
,
New York
.
10.
Morison
,
J. R.
,
O’Brien
,
M. P.
, and
Schaaf
,
S. A.
, 1950, “
The Forces Exerted by Surface Waves on Piles
,”
Petroleum Transactions, American Institute of Mining and Metallurgical Engineers
,
187
, pp.
149
–
155
.
11.
Lamb
,
H.
, 1945,
Hydrodynamics
, 6th edition,
Dover Publications
,
New York
.
12.
Zelt
,
J. A.
, 1986, “
Tsunamis: The Response of Harbours With Sloping Boundaries to Long Wave Excitation
,” W. M. Keck Laboratory, Report No. KH-R-47.
13.
Bauer
,
H. F.
, 1981, “
Liquid Oscillations With a Free Surface in Wedge-Shaped Tanks
,”
Acta Mech.
0001-5970,
38
(
1–2
), pp.
31
–
54
.
14.
Dean
,
R. G.
, and
Dalrymple
,
R. A.
, 1984,
Water Wave Mechanics for Engineers and Scientists
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
15.
Gardarsson
,
S.
, 1997, “
Shallow-Water Sloshing
,” Ph.D. thesis, University of Washington, Seattle, WA.
Copyright © 2009
 by American Society of Mechanical Engineers
You do not currently have access to this content.