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Probability density evolution method for dynamic response analysis of structures with uncertain parameters
4 references·16 citing·34 second hop
Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution method for …A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Neumann Expansion for Stochastic Finite Element Analysis (1988)Neumann Expansion for Stochas…The stochastic finite-element method (1980)The stochastic finite-element…Reliability assessment of stochastic dynamical systems using physics informed neural network based PDEM (2023)Reliability assessment of sto…A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method (2023)A decoupled approach for dete…Reliability-based design optimization of structural systems under stochastic excitation: An overview (2021)Reliability-based design opti…A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)A unified analysis framework …Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure (2020)Structural optimization consi…Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Direct probability integral m…Comparison of the reliability-based and safety factor methods for structural design (2019)Comparison of the reliability…An efficient reliability method combining adaptive global metamodel and probability density evolution method (2019)An efficient reliability meth…Probability density evolution method: Background, significance and recent developments (2015)Probability density evolution…Probability density evolution analysis of engineering structures via cubature points (2012)Probability density evolution…Advances of the probability density evolution method for nonlinear stochastic systems (2011)Advances of the probability d…Strategy for selecting representative points via tangent spheres in the probability density evolution method (2007)Strategy for selecting repres…Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures (2007)Partition of the probability-…The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The Number Theoretical Method…The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The extreme value distributio…The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…Probabilistic Theory of Structural Dynamics (1976)Simulation of Stochastic Processes by Spectral Representation (1991)Stochastic Dynamics of Structures (2009)RBF-GA: An adaptive radial basis function metamodeling with genetic algorithm for structural reliability analysis (2019)System reliability analyses of static and dynamic structures via direct probability integral method (2021)Digital simulation of random processes and its applications (1972)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Finite Elements: A Spectral Approach (1991)Dynamic reliability analysis using the extended support vector regression (X-SVR) (2019)Fatigue reliability analysis of wind turbine tower under random wind load (2020)Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations (2006)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Exact and Invariant Second-Moment Code Format 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(2020)Non-probabilistic polygonal convex set model for structural uncertainty quantification (2020)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A review and assessment of importance sampling methods for reliability analysis (2022)A note on the principle of preservation of probability and probability density evolution equation (2008)A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis (2019)
this work references cited by second hop

References

  • 1980The stochastic finite-element method641 cited
  • 1988Neumann Expansion for Stochastic Finite Element Analysis496 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited

Cited by

  • 2006The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters352 cited
  • 2011Advances of the probability density evolution method for nonlinear stochastic systems247 cited
  • 2006The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures220 cited
  • 2005The probability density evolution method for dynamic response analysis of non‐linear stochastic structures219 cited
  • 2015Probability density evolution method: Background, significance and recent developments217 cited
  • 2019Direct probability integral method for stochastic response analysis of static and dynamic structural systems201 cited
  • 2007Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures138 cited
  • 2021A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method137 cited
  • 2007Strategy for selecting representative points via tangent spheres in the probability density evolution method95 cited

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  • 2012Probability density evolution analysis of engineering structures via cubature points93 cited
  • 2021Reliability-based design optimization of structural systems under stochastic excitation: An overview83 cited
  • 2019An efficient reliability method combining adaptive global metamodel and probability density evolution method74 cited
  • 2023A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method71 cited
  • 2023Reliability assessment of stochastic dynamical systems using physics informed neural network based PDEM68 cited
  • 2019Comparison of the reliability-based and safety factor methods for structural design63 cited
  • 2020Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure60 cited