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Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process
16 references·3 citing·43 second hop
Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process (2015)Time-Dependent Reliability Modeling and A…Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation (2014)Time-dependent reliability of…Time-Dependent Reliability Analysis Using the Total Probability Theorem (2014)Time-Dependent Reliability An…Time-dependent reliability analysis with joint upcrossing rates (2013)Time-dependent reliability an…Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Non-probabilistic convex mode…A new approach for reliability analysis with time-variant performance characteristics (2013)A new approach for reliabilit…A new reliability analysis method for uncertain structures with random and interval variables (2012)A new reliability analysis me…Second-Order Reliability Method With First-Order Efficiency (2010)Second-Order Reliability Meth…A Second-Order Reliability Method With First-Order Efficiency (2010)A Second-Order Reliability Me…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Analytical derivation of the outcrossing rate in time-variant reliability problems (2008)Analytical derivation of the …The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…Approximations of first-passage times for differentiable processes based on higher-order threshold crossings (1995)Approximations of first-passa…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…An Integral Equation Method for the First-Passage Problem in Random Vibration (1984)An Integral Equation Method f…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…UA-CRD, a computational framework for uncertainty analysis of control rod drop with time-variant epistemic uncertain parameters (2023)UA-CRD, a computational frame…Kriging Model for Time-Dependent Reliability: Accuracy Measure and Efficient Time-Dependent Reliability Analysis Method (2020)Kriging Model for Time-Depend…Time-Dependent Reliability-Based Dimensional Synthesis for Planar Linkages With Unknown but Bounded Joint Clearances (2018)Time-Dependent Reliability-Ba…Introduction to safety and reliability of structures (1997)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code (2000)Principal component analysis and polynomial chaos expansion for time-variant reliability problems (2017)Simulation of non-stationary non-Gaussian random fields from sparse measurements using Bayesian compressive sampling and Karhunen-Loève expansion (2019)Fuzzy sets (1965)Fuzzy sets (1996)Structural Reliability Analysis and Prediction (2017)An importance learning method for non-probabilistic reliability analysis and optimization (2018)Discussions on non-probabilistic convex modelling for uncertain problems (2018)Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions (2018)Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)Convex Models of Uncertainty in Applied Mechanics (1990)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability under combined random load sequences (1978)Structural Reliability Methods (1996)A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)Reliability analysis—a review and some perspectives (2001)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Time-Dependent Reliability Analysis Through Response Surface Method (2017)Probabilistic Theory of Structural Dynamics (1976)Methods of structural safety (2006)Reliability-based Structural Design (2006)First order reliability method for time-variant problems using series expansions (2014)Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis (2015)Modeling, analysis, and optimization under uncertainties: a review (2021)Method for Random Vibration of Hysteretic Systems (1976)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Optimal Discretization of Random Fields (1993)A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016)A New Study on Reliability-Based Design Optimization (1999)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Review of statistical model calibration and validation—from the perspective of uncertainty structures (2019)Surrogate model uncertainty quantification for reliability-based design optimization (2019)Reliability analysis with stratified importance sampling based on adaptive Kriging (2020)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)
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References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 2008Analytical derivation of the outcrossing rate in time-variant reliability problems326 cited
  • 2013Time-dependent reliability analysis with joint upcrossing rates234 cited
  • 2013Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems176 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 2014Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation168 cited
  • 2010A Second-Order Reliability Method With First-Order Efficiency130 cited
  • 2013A new approach for reliability analysis with time-variant performance characteristics119 cited
  • 2012A new reliability analysis method for uncertain structures with random and interval variables93 cited
  • 1995Approximations of first-passage times for differentiable processes based on higher-order threshold crossings87 cited
  • 1984An Integral Equation Method for the First-Passage Problem in Random Vibration

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77 cited
  • 2010Second-Order Reliability Method With First-Order Efficiency75 cited
  • 2014Time-Dependent Reliability Analysis Using the Total Probability Theorem73 cited
  • Cited by

    • 2023UA-CRD, a computational framework for uncertainty analysis of control rod drop with time-variant epistemic uncertain parameters17 cited
    • 2020Kriging Model for Time-Dependent Reliability: Accuracy Measure and Efficient Time-Dependent Reliability Analysis Method15 cited
    • 2018Time-Dependent Reliability-Based Dimensional Synthesis for Planar Linkages With Unknown but Bounded Joint Clearances12 cited