Abstract
The probability distribution of residual displacement of a perfectly elastic-perfectly plastic single-degree-offreedom system is discussed in this paper. By assuming that each plastic deformation during an earthquake is a constant and that the direction of the plastic deformation is completely at random, one can suppose that the probability distribution of the residual displacement would f ollow the binomial distribution, and the standard deviation would be proportional to the reciprocal of the square root of the number of the plastic deformations. The validity of the supposition is investigated through dynamic analysis using a number of pseudo and real ground motions.
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