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An evolutive probability transformation method for the dynamic stochastic analysis of structures
16 references·1 citing·43 second hop
An evolutive probability transformation method for the dynamic stochastic analysis of structures (2022)An evolutive probability transformation m…Matching the principal deformation mode method with the probability transformation method for the analysis of uncertain systems (2019)Matching the principal deform…Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures (2018)Random function representatio…A probability transformation method (PTM) for the dynamic stochastic response of structures with non-Gaussian excitations (2018)A probability transformation …Probability density evolution method: Background, significance and recent developments (2015)Probability density evolution…Explicit solutions for the response probability density function of nonlinear transformations of static random inputs (2013)Explicit solutions for the re…Explicit solutions for the response probability density function of linear systems subjected to random static loads (2013)Explicit solutions for the re…Optimization of the truss-type structures using the generalized perturbation-based Stochastic Finite Element Method (2012)Optimization of the truss-typ…Random Vibrations: Analysis of Structural and Mechanical Systems (2011)Random Vibrations: Analysis o…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Random Eigenvibrations of Elastic Structures by the Response Function Method and the Generalized Stochastic Perturbation Technique (2009)Random Eigenvibrations of Ela…Generalized stochastic perturbation technique in engineering computations (2009)Generalized stochastic pertur…An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics (2004)An extension of the Kazakov r…Stochastic response analysis of nonlinear systems under Gaussian inputs (1992)Stochastic response analysis …Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Extension of Power Spectral Methods of Generalized Harmonic Analysis to Determine Non-Gaussian Probabilitv Functions of Random Input Disturbances and Output Responses of Linear Systems (1954)Extension of Power Spectral M…Frequency-domain analysis and dynamic reliability assessment of random vibration for non-classically damped linear structure under non-Gaussian random excitations (2025)Frequency-domain analysis and…Simulation of Stochastic Processes by Spectral Representation (1991)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)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)On the 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References

  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 2011Random Vibrations: Analysis of Structural and Mechanical Systems473 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 2015Probability density evolution method: Background, significance and recent developments217 cited
  • 2009Generalized stochastic perturbation technique in engineering computations50 cited
  • 2018Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures46 cited
  • 1992Stochastic response analysis of nonlinear systems under Gaussian inputs41 cited
  • 2013Explicit solutions for the response probability density function of linear systems subjected to random static loads41 cited
  • 2012Optimization of the truss-type structures using the generalized perturbation-based Stochastic Finite Element Method35 cited
  • 2004An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics30 cited
  • 2018A probability transformation method (PTM) for the dynamic stochastic response of structures with non-Gaussian excitations29 cited
  • 2013Explicit solutions for the response probability density function of nonlinear transformations of static random inputs27 cited

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  • 2009Random Eigenvibrations of Elastic Structures by the Response Function Method and the Generalized Stochastic Perturbation Technique26 cited
  • 1954Extension of Power Spectral Methods of Generalized Harmonic Analysis to Determine Non-Gaussian Probabilitv Functions of Random Input Disturbances and Output Responses of Linear Systems23 cited
  • 2019Matching the principal deformation mode method with the probability transformation method for the analysis of uncertain systems22 cited
  • Cited by

    • 2025Frequency-domain analysis and dynamic reliability assessment of random vibration for non-classically damped linear structure under non-Gaussian random excitations8 cited