Multivariate Extreme Response Estimation and Seismic Dynamic Reliability Analysis of Engineering Systems
WU Chengyu
HE Jun
Abstract：This paper proposed an estimation model of joint distributions of structural system extreme responses under random excitation based on multivariate Gumbel Copula function and generalized extreme distributions,gave the estimation method of model parameters based on response samples,and established the joint probability calculation method of network disjoint shortest paths and cuts based on joint distributions of extreme responses,which is used for effective analysis of the connectivity reliability of the failure dependent engineering systems.The multivariate extreme value estimation of the random seismic response of a six-story shear-building model and the seismic dynamic reliability analysis of the equipment system of substation validate the effectiveness of the estimation model of the joint distributions of the extreme responses of the structure proposed in this paper and the joint probability calculation method of the network disjoint shortest paths and cuts based on the joint distributions of the extreme responses.
Keywords：Structural random vibrationMultivariate extreme responsesEngineering network systemsSeismic dynamic reliabilityMultivariate Gumbel Copula
Publication Date：2025-09-30
Online Publishing Date：2025-10-10(First online date of this platform, not the publication date of the document)
Pages：10( 89-98 )