Abstract
Many nonlinear characteristics are seen in a secondary system. The collision characteristic, which is seen in mechanical supports and joints, is one of nonlinear characteristics. In this paper, a simplified estimation method of the first excursion probability of a secondary system with gap, subjected to carthquake excitations, is proposed. This method is based on the equivalent linearization method. By using this method, the effect of gap on the first excursion probability is examined. In order to examine the effectiveness of the proposed method, the obtained results are compared with those obtained by the simulation method. It is found that the first excursion probability is independent of the natural period when the tolerance level is normalized by the maximum response of the scondary system without gap and the first excursion probability can be simply estimated by using the maximum response of the nonlinear secondary system.
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