Abstract
When the system is subjected to excess seismic load, the response is beyond yield point. On the other hand, it is well known that the response is reduced due to absorbed energy by hystersis loop characteristic caused by plastic deformation. In this paper, relation between the first excursion probability of the system subjected to filtered white noise and absorbed energy by hysteresis loop characteristic is examined. Reduction of the maximum response is also examined. It is found that the first excursion probability and the maximum response decrease with the increase of absorbed energy by hysteresis loop characteristic.