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Multimodal ellipsoid model for non-probabilistic structural uncertainty quantification and propagation
16 references·1 citing·38 second hop
Multimodal ellipsoid model for non-probabilistic structural uncertainty quantification and propagation (2021)Multimodal ellipsoid model for non-probab…A Moment Approach to Positioning Accuracy Reliability Analysis for Industrial Robots (2019)A Moment Approach to Position…Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions (2018)Forward and inverse structura…Time-Dependent Reliability Analysis Through Response Surface Method (2017)Time-Dependent Reliability An…A new directional stability transformation method of chaos control for first order reliability analysis (2016)A new directional stability t…Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Correlation analysis of non-p…Non-probabilistic set-theoretic model for structural safety measure (2008)Non-probabilistic set-theoret…Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Optimization of structures wi…An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method (2007)An uncertain structural optim…Reliability-Based Design With the Mixture of Random and Interval Variables (2005)Reliability-Based Design With…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Comparison of dynamic respons…An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches (2003)An Investigation of Nonlinear…An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches (2002)An Investigation of Nonlinear…Methodology for Managing the Effect of Uncertainty in Simulation-Based Design (2000)Methodology for Managing the …A New Study on Reliability-Based Design Optimization (1999)A New Study on Reliability-Ba…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…Time-dependent reliability analysis of aerospace electromagnetic relay considering hybrid uncertainties quantification of probabilistic and interval variables (2024)Time-dependent reliability an…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)Structural reliability analysis using non-probabilistic convex model (2012)Polynomial Chaos in Stochastic Finite Elements (1990)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)The stochastic finite element method: basic perturbation technique and computer implementation (1993)Advanced Line Sampling for efficient robust reliability analysis (2014)Simulation and the Monte Carlo Method (1981)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Methods of structural safety (2006)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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Freudenthal's criticisms to modern convex modeling (1995)Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability analysis based on random distributions with interval parameters (2011)Exact and Invariant Second-Moment Code Format (1974)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Unified Uncertainty Analysis by the First Order Reliability Method (2008)Time-dependent reliability analysis with joint upcrossing rates (2013)Structural Reliability Analysis and Prediction (2017)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)Structural reliability under combined random load sequences (1978)Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations (2005)Reliability-based design optimization strategies based on FORM: a review (2012)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)A general failure-pursuing sampling framework for surrogate-based reliability analysis (2018)Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis (2019)An efficient response surface method using moving least squares approximation for structural reliability analysis (2010)A hybrid chaos control approach of the performance measure functions for reliability-based design optimization (2014)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)
this work references cited by second hop

References

  • 1999A New Study on Reliability-Based Design Optimization988 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 2011Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique306 cited
  • 2005Reliability-Based Design With the Mixture of Random and Interval Variables247 cited
  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
  • 2017Time-Dependent Reliability Analysis Through Response Surface Method244 cited
  • 2003An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches216 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2007Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval173 cited
  • 2002An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches165 cited
  • 2016A new directional stability transformation method of chaos control for first order reliability analysis162 cited
  • 2000Methodology for Managing the Effect of Uncertainty in Simulation-Based Design157 cited
  • 2019A Moment Approach to Positioning Accuracy Reliability Analysis for Industrial Robots132 cited

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2008
Non-probabilistic set-theoretic model for structural safety measure
128 cited
  • 2007An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method122 cited
  • 2018Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions95 cited
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    • 2024Time-dependent reliability analysis of aerospace electromagnetic relay considering hybrid uncertainties quantification of probabilistic and interval variables11 cited