Optimal Design and Practical Considerations of Tuned Mass Dampers for Structural Control - Design Optimization of Active and Passive Structural Control Systems - page 146

CONCLUSION Den Hartog, J. P. (1956). Mechanical vibrations

(4th ed.). New York, NY: McGraw-Hill.

TMD has at least one hundred years of history,
while its enhanced version, MTMD, has been
proposed for nearly twenty years. The large stroke
and detuning effect are two major problems for
TMD in seismic applications. MTMD is one of
the solutions to reduce the detuning problem.
For the stroke problem, this chapter provides a
new methodology for MTMD system designers
to deal with it in design stage. The methodology
is primarily to include the stroke related factors
into the performance index of MTMD in the
optimization procedure. The outcome is a more
damped MTMD than that by the conventional
design method which the MTMD units usually
have small damping demand. It also implies that
the new methodology is more favorable for real
implementation because the limitation of little
contact friction between MTMD and controlled
structure is eliminated. Instead, the unavoidable
friction could turn into the required damping of
MTMD unit and lead to reducing the construction
cost of MTMD.

Frahm, H. (1911). Device for damping vibrations
of bodies . U.S. Patent 989-958.

Hoang, N., & Warnitchai, P. (2005). Design of
multiple tuned mass dampers by using a numerical
optimizer. Earthquake Engineering & Structural
Dynamics , 34 , 125-144. doi:10.1002/eqe.413

Jangid, R. S. (1995). Dynamic characteristics
of structures with multiple tuned mass dampers.
Structural Engineering & Mechanics , 3 , 497-509.

Juang, J. N. (1997). System realization using infor-
mation matrix. Journal of Guidance, Control, and
Dynamics , 21 (3), 492-500. doi:10.2514/2.4068

Kareem, A., & Kline, S. (1995). Performance of
multiple mass dampers under random loading.
Journal of Structural Engineering , 121 , 348-361.
doi:10.1061/(ASCE)0733-9445(1995)121:2(348)

Li, C. (2000). Performance of multiple tuned
mass dampers for attenuating undesirable os-
cillations of structures under the ground accel-
eration. Earthquake Engineering & Structural
Dynamics , 29 , 1405-1421. doi:10.1002/1096-
9845(200009)29:9<1405::AID-
EQE976>3.0.CO;2-4

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