Simplified Estimation Method for First Excursion Probability of Secondary System with Gap

摘要

This paper deals with the first excursion probability of the secondary system with gap such as pipings, tanks and other mechanical equipment having mechanical supports and joints installed on the primary system such as buildings. An analytical method for the secondary system with gap is presented. This method is based on equivalent linearization mehtod. As input excitations, artificial time histories are used. Using the proposed method, some numericla examples are shown. It is found that when the tolerance level is normalized by the maximum standard deviation of response of the liner secondary system, the first excursion probability is independent of mass ratio of the secondary system to the primary system, the damping ratio and the natural period of the secondary suystem.