Permanent deformations of rigid-plastic structures subject to random dynamic loads

Abstract The probabilistic analysis of the inelastic displacement response for simple rigid-plastic structures subject to dynamic loads is considered. The paper presents a method able to approximate the probability density function of the residual displacement at any time t . The procedure is based on the filtered Poisson process theory. This model aims to idealize the input stochastic process (i.e. the loading function) and to describe the output process (i.e. the residual displacement). The extension to elastic-perfectly plastic structures is immediate. Finally a numerical example is developed in order to show the computational aspects of the method.