Abstract
In Part I, a probabilistic model of elastic-plastic random vibration was discussed, and an approximate solution of the first passage time to the yield level during the part of elastic random vibration was obtained. In this paper, based on a probabilistic model described in Part I, a plastic deformation process defined as the sum of individual (positive and negative) plastic deformation was developed. For elastoplastic structures, new approximate analytical results are presented for the probability distribution of ductility, the permanent set and the first exceedance time of specified level of ductility, and they are compared with the results by the Monte-Carlo technique.
