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Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions
16 references·16 citing·46 second hopsampled
Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions (2018)Forward and inverse structural uncertaint…Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)Sensitivity and uncertainty a…Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)Multidimensional parallelepip…An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis (2015)An improved multidimensional …Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization (2014)Second-order reliability meth…A hybrid chaos control approach of the performance measure functions for reliability-based design optimization (2014)A hybrid chaos control approa…Non-probabilistic convex model process: A new method of time-variant uncertainty analysis 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The Primer (2007)A hybrid approach for global sensitivity analysis of FRP composite multi-bolt joints (2018)A hybrid stochastic sensitivity analysis for low-frequency vibration and low-velocity impact of functionally graded plates (2019)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
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2008A comparative study of uncertainty propagation methods for black-box-type problems331 cited
  • 2018Sensitivity and uncertainty analysis for flexoelectric nanostructures201 cited
  • 1989Asymptotic approximations for probability integrals200 cited
  • 2014A hybrid chaos control approach of the performance measure functions for reliability-based design optimization198 cited
  • 2007Dimension reduction method for reliability-based robust design optimization196 cited
  • 2007Reliability sensitivity method by line sampling191 cited
  • 2013Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems176 cited
  • 2005Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations161 cited
  • 2015Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis133 cited
  • 2001A Most Probable Point-Based Method for Efficient Uncertainty Analysis99 cited
  • 2015An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis

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98 cited
  • 2010A combined reliability analysis approach with dimension reduction method and maximum entropy method97 cited
  • 2014Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization96 cited
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    • 2022Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis56 cited
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    • 2020A general frame for uncertainty propagation under multimodally distributed random variables54 cited
    • 2020Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model54 cited
    • 2020Basic Framework and Main Methods of Uncertainty Quantification52 cited
    • 2020A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis48 cited
    • 2020Efficient uncertainty propagation for parameterized p-box using sparse-decomposition-based polynomial chaos expansion43 cited
    • 2019A novel structural reliability analysis method via improved maximum entropy method based on nonlinear mapping and sparse grid numerical integration41 cited
    • 2019A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method40 cited
    • 2019Non-probabilistic interval process model and method for uncertainty analysis of transient heat transfer problem37 cited
    • 2023Uncertainty propagation of turbulence parameters for typhoon and Non-typhoon winds in buffeting analysis of Long-span bridges34 cited