Abstract
An efficient method for performing first passage analyses and inelastic response analyses is presented. The first passage problem is solved by discretizing the equation of motion for the structure in space and in time to obtain the transition probabilities for the displacement of the structure. The response of elastoplastic structures to stationary excitation is characterized by the probability distributions of cumulative plastic deformation and permanent set. The response process of the structure is discretized in time and in space, and an equivalent vibration process is obtained. The half-cycle information is used to predict response information over a given length of time. Results of numerical examples indicate that the accumulation of plastic displacements differs only slightly between the zero-start case and the stationary-start case for elastoplastic structures.
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