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Hybrid uncertainty propagation and reliability analysis using direct probability integral method and exponential convex model
16 references·14 citing·37 second hop
Hybrid uncertainty propagation and reliability analysis using direct probability integral method and exponential convex model (2022)Hybrid uncertainty propagation and reliab…Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Recent Trends in the Modeling…Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Direct probability integral m…Probability density evolution method: Background, significance and recent developments (2015)Probability density evolution…A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A GF-discrepancy for point se…Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analys…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The extreme value distributio…Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)Enriched Performance Measure …Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Reliability-based structural optimization using neural networks and Monte Carlo simulation (2002)Reliability-based structural …First excursion probabilities for linear systems by very efficient importance sampling (2001)First excursion probabilities…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Discussion on: A non-probabilistic concept of reliability (1995)Discussion on: A non-probabil…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…The Safety of Structures (1947)The Safety of StructuresReliability analysis method for multiple failure modes with overlapping failure domains (2025)Reliability analysis method f…Quantum interval neural network for uncertain structural static analysis (2025)Quantum interval neural netwo…First excursion probability of dynamical systems: A review on computational methods (2025)First excursion probability o…Dynamic reliability analysis of systems under combined Gaussian and Poisson white noise by time-varying extreme value process (2025)Dynamic reliability analysis …Bayesian neural network based probability density evolution approach for efficient structural reliability analysis (2025)Bayesian neural network based…The first-order time-variant reliability expansion method (2024)The first-order time-variant …Simultaneous determination of stochastic dynamic responses and reliabilities for geometrically nonlinear thin shells (2024)Simultaneous determination of…Robust design optimization of a multi-body system with aleatory and epistemic uncertainty (2024)Robust design optimization of…Nonprobabilistic reliability analysis method for series-parallel structural systems with correlated uncertainties (2024)Nonprobabilistic reliability …An extended moment-based trajectory accuracy reliability analysis method of robot manipulators with random and interval uncertainties (2024)An extended moment-based traj…A reliability analysis method based on the intersection area division of hypersphere and paraboloid (2024)A reliability analysis method…Uncertainty analysis of structural output with closed-form expression based on surrogate model (2023)Uncertainty analysis of struc…Novel Kriging based learning function for system reliability analysis with correlated failure modes (2023)Novel Kriging based learning …Hybrid reliability analysis with incomplete interval data based on adaptive Kriging (2023)Hybrid reliability analysis w…The stochastic finite-element method (1980)Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Convex Models of Uncertainty in Applied Mechanics (1990)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Interval Monte Carlo methods for structural reliability (2010)Probability Concepts in Engineering Planning and Design (1975)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Finite Elements: A Spectral Approach (1991)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Time-Dependent Reliability Analysis Through Response Surface Method (2017)Structural reliability under combined random load sequences (1978)Selecting Probabilistic Approaches for Reliability-Based Design Optimization (2004)Methods of structural safety (2006)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Probabilistic Theory of Structural Dynamics (1976)Simulation and the Monte Carlo Method (1981)Dynamic response and reliability analysis of non-linear stochastic structures (2004)Benchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Reliability engineering (2011)Simulation and the Monte Carlo Method (2016)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Monte Carlo solution of structural dynamics (1972)Estimation of small failure probabilities in high dimensions by subset simulation (2001)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)System reliability analyses of static and dynamic structures via direct probability integral method (2021)A survey on approaches for reliability-based optimization (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)
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References

  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2002Reliability-based structural optimization using neural networks and Monte Carlo simulation516 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2006The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters352 cited
  • 2005Enriched Performance Measure Approach for Reliability-Based Design Optimization.321 cited
  • 2001First excursion probabilities for linear systems by very efficient importance sampling282 cited
  • 1947The Safety of Structures278 cited
  • 2012Structural reliability analysis using non-probabilistic convex model219 cited
  • 2015Probability density evolution method: Background, significance and recent developments217 cited
  • 1995Discussion on: A non-probabilistic concept of reliability

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217 cited
  • 2019Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty213 cited
  • 2019Direct probability integral method for stochastic response analysis of static and dynamic structural systems201 cited
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    • 2023Hybrid reliability analysis with incomplete interval data based on adaptive Kriging23 cited
    • 2024The first-order time-variant reliability expansion method21 cited
    • 2023Novel Kriging based learning function for system reliability analysis with correlated failure modes21 cited
    • 2024An extended moment-based trajectory accuracy reliability analysis method of robot manipulators with random and interval uncertainties20 cited
    • 2025Reliability analysis method for multiple failure modes with overlapping failure domains10 cited
    • 2025Bayesian neural network based probability density evolution approach for efficient structural reliability analysis10 cited
    • 2024Simultaneous determination of stochastic dynamic responses and reliabilities for geometrically nonlinear thin shells9 cited
    • 2024Nonprobabilistic reliability analysis method for series-parallel structural systems with correlated uncertainties9 cited
    • 2025Dynamic reliability analysis of systems under combined Gaussian and Poisson white noise by time-varying extreme value process8 cited
    • 2023Uncertainty analysis of structural output with closed-form expression based on surrogate model8 cited