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Global Seismic Reliability Analysis of Reinforced Concrete Multi-Story Multi-Span Frame Structures Based on the Direct Probability Integral Method
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Global Seismic Reliability Analysis of Reinforced Concrete Multi-Story Multi-Span Frame Structures Based on the Direct Probability Integral Method
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Journal Article
Global Seismic Reliability Analysis of Reinforced Concrete Multi-Story Multi-Span Frame Structures Based on the Direct Probability Integral Method
2026
Overview
Based on the Direct Probability Integral Method (DPIM), this study investigates the global seismic reliability of reinforced concrete (RC) frame structures considering the randomness of material parameters and the non-stationarity of ground motions. A doubly non-stationary ground motion model is established using evolutionary power spectrum theory combined with the spectral representation–stochastic function method. A dimensionality reduction technique is adopted to generate ground motion samples compatible with the design response spectrum. A finite element model of the RC frame is developed in Abaqus. Modal analysis and deterministic time history analysis are conducted to obtain the dynamic characteristics and seismic responses of the structure. Based on 600 representative ground motion time histories generated using the maximum frontier (MF) discrepancy sampling method, nonlinear time history analyses are performed. The DPIM is then employed to calculate the statistical characteristics of structural responses and quantify response variability, enabling a rational evaluation of the structural safety margin. Finally, based on the equivalent extreme value event theory and DPIM, the reliability of the structure under a single failure mode and the global reliability under multiple failure modes are computed. The results show that the global reliability of the structure is 82.088%, which is significantly lower than that of any single failure mode. This study provides a quantitative reference for evaluating the global seismic reliability of RC frame structures subjected to nonstationary seismic excitation.
Publisher
MDPI AG
