期刊
JOURNAL OF ENGINEERING MECHANICS
卷 149, 期 1, 页码 -出版社
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)EM.1943-7889.0002176
关键词
Stochastic mainshock-aftershock sequences; Direct probability integral method (DPIM); Dynamic reliability; Structural nonlinearity systems; Copula function
A novel approach for nonlinear stochastic dynamic analysis is proposed and illustrated with nonlinear building structures subjected to mainshock-aftershock sequences. The method includes establishing a stochastic seismic sequence model, choosing representative point sets of seismic parameters using generalized F-discrepancy, determining the correlation between mainshock and aftershock parameters using Copula theory, obtaining the stochastic dynamic response by solving the probability density integral equation, and obtaining the first-passage dynamic reliability using the direct probability integral method. The proposed method is compared to Monte Carlo simulation and probability density evolution method to demonstrate its correctness and efficiency. The influence of aftershocks on nonlinear structures is explained from the perspective of probability for the first time.
A novel approach for nonlinear stochastic dynamic analysis is proposed and illustrated with nonlinear building structures subjected to mainshock-aftershock sequences. First, a stochastic seismic sequence model with stochastic parameters was established, and its generation method was derived based on the source-path-site mechanism. Then, the representative point sets of seismic parameters could be chosen based on generalized F-discrepancy, and the correlation between the mainshock and aftershock parameters could be determined by using Copula theory. Finally, the stochastic dynamic response was obtained by solving the probability density integral equation (PDIE). Furthermore, the first-passage dynamic reliability could be obtained by the direct probability integral method (DPIM) combined with the absorbing condition approach. This novel approach was used to obtain stochastic dynamic results for four structures subjected to stochastic seismic sequences, which were compared to those using Monte Carlo simulation (MCS) and probability density evolution method (PDEM) to demonstrate the proposed method's correctness and efficiency. Additionally, the influence of aftershocks on nonlinear structures is explained from the perspective of probability for the first time.
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