We investigate the use of cable tension for active vibration control in frame structures. A general formulation for this class of systems is developed using finite elements, which includes the dynamics of the structure and the effects of cable-structure interactions. It is found that the cable tension has two distinct effects on the structure. The first is a parametric effect in which the cable tension changes the stiffness of the structure, and the second is a direct effect that provides an external force on the structure. Based on this model, a general control scheme is developed that uses cable actuation to take advantage of these effects, both separately and together. The control scheme for all cases is based on modal amplitudes, and it applies and releases tension in such a manner that vibration energy is removed from the modes of the structure over a prescribed frequency range that depends on the bandwidth(s) of the actuator(s). The stability of the controlled systems is proven using nonlinear control theory. In addition, a method is developed for determining the optimal placement of cables for parametric stiffness control, which is verified via simulations. Finally, an experimental realization of the direct force control is tested on a frame structure and compared with simulations, demonstrating its effectiveness.

1.
Yang
,
J. N.
, and
Giannopolous
,
F.
, 1979, “
Active Control and Stability of Cable-Stayed Bridge
,”
J. Engrg. Mech. Div.
0044-7951,
105
(
4
), pp.
677
694
.
2.
Chung
,
L. L.
,
Reinhorn
,
A. M.
, and
Soong
,
T. T.
, 1988, “
Experiments on Active Control of Seismic Structures
,”
J. Eng. Mech.
0733-9399,
114
(
2
), pp.
241
256
.
3.
López-Almansa
,
F.
, and
Rodellar
,
J.
, 1989, “
Control-Systems of Building Structures by Active Cables
,”
J. Struct. Eng.
0733-9445,
115
(
11
), pp.
2897
2913
.
4.
Warnitchai
,
P.
,
Fujino
,
Y.
,
Pacheco
,
B. M.
, and
Agret
,
R.
, 1993, “
An Experimental Study on Active Tendon Control of Cable-Stayed Bridges
,”
Earthquake Eng. Struct. Dyn.
0098-8847,
22
(
2
), pp.
93
111
.
5.
Magaña
,
M. E.
, and
Rodellar
,
J.
, 1998, “
Nonlinear Decentralized Active Tendon Control of Cable-Stayed Bridges
,”
J. Struct. Contr.
,
5
(
1
), pp.
45
62
.
6.
Fujino
,
Y.
,
Susumpow
,
T.
, and
Warnitchai
,
P.
, 1995, “
Active Control of Cable and Cable-Structure System
,”
JSME Int. J., Ser. C
1340-8062,
38
(
2
), pp.
260
266
.
7.
Bossens
,
F.
, and
Preumont
,
A.
, 2001, “
Active Tendon Control of Cable-Stayed Bridges: A Large-Scale Demonstration
,”
Earthquake Eng. Struct. Dyn.
0098-8847,
30
(
7
), pp.
961
979
.
8.
Murotsu
,
Y.
,
Okubo
,
H.
, and
Terui
,
F.
, 1989, “
Low-Authority Control of Large Space Structures by Using a Tendon Control-System
,”
J. Guid. Control Dyn.
0731-5090,
12
(
2
), pp.
264
272
.
9.
Okubo
,
H.
,
Komatsu
,
N.
, and
Tsumura
,
T.
, 1996, “
Tendon Control System for Active Shape Control of Flexible Space Structures
,”
J. Intell. Mater. Syst. Struct.
1045-389X,
7
(
4
), pp.
470
475
.
10.
Preumont
,
A.
,
Achkire
,
Y.
, and
Bossens
,
F.
, 2000, “
Active Tendon Control of Large Trusses
,”
AIAA J.
0001-1452,
38
(
3
), pp.
493
498
.
11.
Nudehi
,
S.
,
Mukherjee
,
R.
, and
Shaw
,
S. W.
, 2006, “
Active Vibration Control of a Flexible Beam Using a Buckling-Type End Force
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
128
(
2
), pp.
278
286
.
12.
Onoda
,
J.
,
Endo
,
T.
,
Tamaoki
,
H.
, and
Watanabe
,
N.
, 1991, “
Vibration Suppression by Variable-Stiffness Members
,”
AIAA J.
0001-1452,
29
(
6
), pp.
977
983
.
13.
Khalil
,
H. K.
, 2002,
Nonlinear Systems
,
Prentice-Hall
,
New York
.
14.
Reddy
,
J. N.
, 2005,
An Introduction to the Finite Element Method
,
3rd ed.
,
McGraw-Hill
,
New York
.
15.
Hamdan
,
A. M. A.
, and
Nayfeh
,
A. H.
, 1989, “
Measures of Modal Controllability and Observability for 1st-Order and 2nd-Order Linear-Systems
,”
J. Guid. Control Dyn.
0731-5090,
12
(
3
), pp.
421
428
.
16.
Sadri
,
A. M.
,
Wright
,
J. R.
, and
Wynne
,
R. J.
, 1999, “
Modelling and Optimal Placement of Piezoelectric Actuators in Isotropic Plates Using Genetic Algorithms
,”
Smart Mater. Struct.
0964-1726,
8
(
4
), pp.
490
498
.
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