Special Issue: Advances in Structural Identification, Damage Detection and Condition Assessment; Guest Editors: Prof. Ying Lei, Prof. Hoon Sohn and Dr. Ting-Hua YiNo Access

Dynamic Stability and Failure Probability Analysis of Dome Structures Under Stochastic Seismic Excitation

Jie Li

State Key Laboratory of Disaster Reduction in Civil Engineering, School of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, P. R. China

Corresponding author.

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Jun Xu

State Key Laboratory of Disaster Reduction in Civil Engineering, School of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, P. R. China

Civil and Environmental Engineering, Rice University, 6100 Main Street, Houston, TX 77005, USA

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https://doi.org/10.1142/S021945541440001XCited by:16 (Source: Crossref)

Abstract

The intrinsic relationship between deterministic system and stochastic system is profoundly revealed by the probability density evolution method (PDEM) with introduction of physical law into the stochastic system. On this basis, stochastic dynamic stability analysis of single-layer dome structures under stochastic seismic excitation is firstly studied via incorporating an energetic physical criterion for identification of dynamic instability of dome structures into PDEM, which yields to sample stability (stable reliability). However, dynamic instability is not identical to structural failure definitely, where strength failure can be experienced not only in the stable structure but also when the structure is out of dynamic stability. It is practically feasible to decouple the stochastic dynamic response of dome structures to be a stable one and an unstable one according to the generalized density evolution equation (GDEE). Consequently, the global failure probability can be investigated separately based on the corresponding independent stochastic response. For unstable failure probability assessment, the failure probability is the unstable probability if the dome's failure is attributed to instability, whereas inverse absorbing is firstly implemented to get rid of the stochastic response before instability and a complementary process is filled in the safe domain immediately to finally assess the probability of strength failure after dynamic instability.

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