United Dynamic Reliability Analysis for Primary-Secondary System

Abstract eng:
The structures subjected to severe earthquake loading usually undergo excessive inelastic deformation and even get into destruction, especially when attached secondary system is with large mass or the ratio of secondary system frequency to post-yield frequency of primary structure distributes within a certain range. Therefore, dynamic reliability of single secondary system commonly makes no substantial sense due to destruction of primary structure, and many authors have focused on the united dynamic reliability analysis for whole primary-secondary system. The united reliability of whole primary-secondary system with yielding primary structure under gauss white noise excitation is investigated in this paper using equivalent linearization and Mone Carlo simulation, and the cross-over rate, as a equivalent measurement of expected first passage time, is computed as the analysis index for a number of combinations of parameters of primary-secondary system. Research in the paper indicates that the single secondary system reliability analysis is generally non-conservative in contrast to the whole system analysis, especially for secondary system with large mass or within certain range of the ratio of secondary system frequency to that of post-yield primary structure.

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