Optimal Seismic Damper Placement in N-bay Frame Structures

摘要

The proposed design approach is based on a dynamics problem previously considered by the second author. An optimally controlled system was taken as given. Measurement devices were then introduced into the system in order to produce state measurements. The introduction of the devices is a disturbance of the original system whose performance was to be measured. The objective was to introduce measuring devices in such a way as to least disturb the original system. The result was a bi-criterion optimization problem for the simultaneous optimization of the original control criterion and an error based upon the location of the measuring devices. We now apply a similar viewpoint to structural design. We modify the approach by considering an undamped structure and introducing discrete dampers in such a way that the difference in retained energy between the undamped and damped structure is maximized. This is equivalent to placing the dampers in such a way as to maximize the dissipated energy. We shall consider the additional problem of including stiffening with the dampers with the minimization of the stored energy as a second criterion.