Abstract
In the context of performance-based earthquake engineering, reliability method has been of significant importance in performance and risk assessment of structures or soil-structure interaction (SSI) systems. The finite element (FE) reliability method combines FE analysis with state-of-the-art methods in reliability analysis and has been employed increasingly to estimate the probability of occurrence of failure events corresponding to various hazard levels (e.g., earthquakes with various intensity). In this paper, crucial components for FE reliability analysis are reviewed and summarized. Furthermore, recent advances in both time invariant and time variant reliability analysis methods for realistic nonlinear SSI systems are presented and applied to a two-dimensional two story building on layered soil. Various time invariant reliability analysis methods are applied, including the first-order reliability method (FORM), importance sampling method, and orthogonal plane sampling (OPS) method. For time variant reliability analysis, an upper bound of the failure probability is obtained from numerical integration of the mean outcrossing rate (MOCR). The MOCR is computed by using FORM analysis and OPS analysis. Results by different FE reliability methods are compared in terms of accuracy and computational cost. This paper provides valuable insights for reliability based probabilistic performance and risk assessment of SSI systems.
Highlights
In the context of performance-based earthquake engineering (PBEE), a challenging task for structural engineers is to provide performance and risk assessment for structures or soil-structural interaction (SSI) systems over their design lifetime
For time variant reliability analysis, an upper bound of the failure probability is obtained from numerical integration of the mean outcrossing rate (MOCR)
For time variant reliability analysis, an upper bound of the failure probability is obtained from numerical integration of the mean outcrossing rate (MOCR) [13]
Summary
In the context of performance-based earthquake engineering (PBEE), a challenging task for structural engineers is to provide performance and risk assessment for structures or soil-structural interaction (SSI) systems over their design lifetime. Proper methods are required for the study of uncertainty propagations from model parameters describing the geometry, the material behaviors, and the applied loadings to structural responses used in defining performance limit states These methods need to be integrated with methodologies already wellknown to engineers for structural response simulations, such as the finite element (FE) method [1,2,3,4]. OpenSees is an open source object-oriented software framework written in C++ programming language for static and dynamic, linear and nonlinear finite element (FE) analysis of structural and/or geotechnical systems This framework has been under development by the Pacific Earthquake Engineering Research Center (PEER) since 1997 and has been increasingly widely used in academic society. This paper provides valuable insights for probabilistic performance and risk assessment of SSI systems based on FE reliability analysis
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