Optimal Passive Damper Positioning Techniques: State-of-the-Art - Design Optimization of Active and Passive Structural Control Systems - page 89

Figure 3. Roof displacement time histories for the controlled and un-controlled frames

Figure 4. Roof acceleration time histories for the controlled and un-controlled frames

positioning techniques principally aim at devel-
oping strategies for the placement of the control
devices with optimal capacity for the reduction
of the target indices; the primarily chosen target
indices would be drift and acceleration.
One of the early major works in this direction
was the study carried out by Desilva (1981) in
which he derived a gradient algorithm for control-
ling the vibration of a flexible system by optimally

inserting control devices. His work included a
complete mathematical formulation for slender
beams in vibration due to flexure. Thereafter,
Constantinou and Tadjabakhsh (1983) obtained an
optimum damping coefficient for a damper located
in the first story of a shear building subjected to
stationary white noise ground accelerations. In
this work, analytical expressions were formulated
for calculating the maximum displacements of