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Time-Dependent Reliability of Random Dynamic Systems Using Time-Series Modeling and Importance Sampling
14 references·16 citing·40 second hop
Time-Dependent Reliability of Random Dynamic Systems Using Time-Series Modeling and Importance Sampling (2011)Time-Dependent Reliability of Random Dyna…Design for Lifecycle Cost Using Time-Dependent Reliability (2010)Design for Lifecycle Cost Usi…Time-Dependent Reliability Estimation for Dynamic Problems Using a Niching Genetic Algorithm (2009)Time-Dependent Reliability Es…Statistics and finance: an introduction (2004)Statistics and finance: an in…The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Structural Reliability Methods (1996)Structural Reliability MethodsApproximations of first-passage times for differentiable processes based on higher-order threshold crossings (1995)Approximations of first-passa…Asymptotic importance sampling (1993)Asymptotic importance samplingVector Process Out‐Crossing as Parallel System Sensitivity Measure 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this work references cited by second hop

References

  • 1978Structural reliability under combined random load sequences2,229 cited
  • 1996Structural Reliability Methods2,192 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1979Narrow Reliability Bounds for Structural Systems910 cited
  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1991Vector Process Out‐Crossing as Parallel System Sensitivity Measure201 cited
  • 1990Adaptive Importance Sampling138 cited
  • 2010Design for Lifecycle Cost Using Time-Dependent Reliability127 cited
  • 2004Statistics and finance: an introduction114 cited
  • 1964Probability of Structural Failure Under Random Loading107 cited
  • 1995Approximations of first-passage times for differentiable processes based on higher-order threshold crossings87 cited
  • 1993Asymptotic importance sampling64 cited
  • 2009Time-Dependent Reliability Estimation for Dynamic Problems Using a Niching Genetic Algorithm60 cited

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  • 2015Reliability-based design optimization under stationary stochastic process loads

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52 cited
  • 2020An enhanced moment-based approach to time-dependent positional reliability analysis for robotic manipulators40 cited
  • 2016Maximum probable life time analysis under the required time-dependent failure probability constraint and its meta-model estimation32 cited
  • 2017A surrogate modeling approach for reliability analysis of a multidisciplinary system with spatio-temporal output30 cited
  • 2023A loading contribution degree analysis-based strategy for time-variant reliability analysis of structures under multiple loading stochastic processes28 cited
  • 2017Dynamics Model Validation Using Time-Domain Metrics27 cited
  • 2016Uncertainty Quantification of Time-Dependent Reliability Analysis in the Presence of Parametric Uncertainty26 cited
  • 2017Adaptive Surrogate Modeling for Time-Dependent Multidisciplinary Reliability Analysis22 cited
  • 2018Uncertainty Analysis for Time- and Space-Dependent Responses With Random Variables20 cited
  • 2017A two-step methodology to apply low-discrepancy sequences in reliability assessment of structural dynamic systems18 cited
  • 2015A Random Process Metamodel Approach for Time-Dependent Reliability16 cited
  • 2020Time-varying reliability and global sensitivity analysis of regenerative chatter stability in turning considering tool wear13 cited
  • 2024A new reliability-based procedure for life-cycle management of new and existing constructions13 cited
  • 2016Time-Dependent Reliability Analysis of Vibratory Systems With Random Parameters13 cited
  • 2016Time-Dependent Reliability Analysis Using a Vine-ARMA Load Model13 cited
  • 2020Approximation to multivariate normal integral and its application in time-dependent reliability analysis12 cited