In this study a new nonlinear hysteresis dynamic model is employed to simulate the hysteresis behavior of a commercial MR damper. The model determines the hysteresis force considering the amplitude, frequency and current excitation as independent variables. Subsequently, based on this model, the finite element formulation of the MR damper is developed and is incorporated into the finite element formulation of the whole space truss structures with embedded MR dampers. A direct integration method with inner iterative algorithm is applied to obtain the solution of the resulting nonlinear system. The experimental study has also been conducted to validate the simulation. For the experimental set-up, a 3-Dimensional space truss structure with 4 bays in which one of the members can be replaced by MR damper has been fabricated. The experimental results have shown a good agreement with the mathematical simulation. It has been demonstrated that the vibration can be efficiently suppressed by the controllable MR dampers.

1.
Bouc
R.
,
1971
, “
Mode`le mathe´matique d’hyste´re´sis
,”
Acustica
,
24
, pp.
16
25
.
2.
Wen
Y. K.
,
1976
, “
Method of random vibration of hysteretic systems
,”
Journal of Engineering Mechanics
, ASCE,
102
(
EM2
), pp.
249
263
.
3.
Spencer
B. F.
,
Dyke
S. J.
,
Sain
M. K.
and
Carlson
J. D.
,
1997
, “
Phenomenological model for a magnetorheological damper
,”
Journal of Engineering Mechanics
, American Society of Civil Engineers,
123
, pp.
230
252
.
4.
Yang
G.
,
Spencer
B. F.
,
Jung
J. H.
and
Carlson
D.
,
2004
, “
Dynamic modeling of large-scales magnetorheological damper systems for civil engineering applications
,”
Journal of Engineering Mechanics
, ASCE,
130
(
9
), pp.
1107
1114
.
5.
Choi
S. B.
and
Lee
S. K.
,
2001
, “
A hysteresis model for the field-dependent damping force of a magnetorheological damper
,”
Journal of Sound and Vibration
,
245
(
2
), pp.
375
383
.
6.
Wang
E. R.
,
Ma
X. Q.
,
Rakheja
S.
and
Su
C. Y.
,
2003
, “
Modelling the Hysteric Characteristics of a Magnetorheological Fluid Damper
,”
Proc. Instn. Mech. Engrs. J. Automobile Engineering
,
217
(
7
), Part. D, pp.
537
550
.
7.
Dominguez, A., Sedaghati, R. and Stiharu, I., 2004, “A new field-dependent hysteresis model of the magnetorheological dampers,” Journal of Intelligent Systems and Structures, (Submitted).
8.
Onoda
J.
,
Ung
H.
and
Minesugi
K.
,
1998
, “
Semi-active vibration suppression of truss structures by electro-rheological fluid
,”
Acta Astronautica
,
40
, pp.
771
779
.
9.
Dyke
D. J.
,
Spencer
B. F.
,
Sain
M. K.
, and
Carlson
J. D.
,
1996
, “
Modeling and control of magnetorheological dampers for seismic response reduction
,”
Smart Materials and Structures
,
5
, pp.
565
575
.
10.
Soong
T. T.
,
Spencer
B. F.
,
2002
, “
Supplemental energy dissipation: state-of-art and state-of-the-practice
,”
Engineering Structures
,
24
, pp.
243
259
.
11.
Ikeda
Y.
,
Sasaki
K.
,
Sakamoto
M.
and
Kobori
T.
,
2001
, “
Active mass driver system as the first application of active structural control
,”
Earthquake Engineering and Structural Dynamics
,
30
, pp.
1575
1595
.
12.
Watabe
M.
,
Tohdo
M.
,
Chiba
O.
,
Izumi
N.
,
Ebisana
H.
and
Fujita
T.
,
2001
, “
Response control performance of a hybrid mass damper applied to a tall building
,”
Earthquake Engineering and Structural Dynamics
,
30
, pp.
1655
1676
.
13.
Saito
T.
,
Shiba
K.
and
Tamura
K.
,
2001
, “
Vibration control characteristics of a hybrid mass damper system installed in tall buildings
.”
Earthquake Engineering and Structural Dynamics
,
30
, pp.
1677
1696
.
14.
Ying
S. G.
,
Shu
W. Q.
and
Soong
T. T.
,
2002
, “
A stochastic optimal semi-active control strategy for ER/MR damper
.”
Journal of Sound and Vibration
,
259
, pp.
45
62
.
15.
Zhu
W. Q.
,
Luo
M.
and
Dong
L.
,
2004
, “
Semi-active control of wind excited building structures using ER/MR dampers
,”
Probabilistic Engineering Mechanics
,
19
, pp.
279
285
.
16.
Dominguez
A.
,
Sedaghati
R.
and
Stiharu
I.
,
2004
, “
Modeling the hysteresis phenomenon of magnetorheological dampers
,”
Smart Materials and Structures
,
13
, pp.
1351
1361
.
17.
Rao, S. S., 1999, The Finite Element Method in Engineering, Butterworth-Heinemann.
18.
Wilson, E.L., 2002, Three Dimensional Static and Dynamic Analysis of Structures, A Physical approach with Emphasis on Earthquake Engineering, Computers and Structures, Inc., Berkeley, California, USA.
19.
Qu
W. L.
,
Xu
Y. L.
and
Lv
M. Y.
,
2002
, “
Seismic response control of large-span machinery building on top of ship lift towers using ER/MR moment controllers
.”
Journal of Engineering Structures
,
24
, pp.
517
527
.
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