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Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination
6 references·16 citing·35 second hop
Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination (2011)Harmonic wavelets based statistical linea…Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Implementation of Karhunen–Lo…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Digital simulation of random processes and its applications (1972)Digital simulation of random …Reduction of random variables in the Stochastic Harmonic Function representation via spectrum-relative dependent random frequencies (2020)Reduction of random variables…An exact and efficient time-domain method for random vibration analysis of linear structures subjected to uniformly modulated or fully non-stationary excitations (2020)An exact and efficient time-d…Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions (2019)Stochastic dynamic response a…Path Integral approach via Laplace’s method of integration for nonstationary response of nonlinear systems (2019)Path Integral approach via La…Efficient Nonstationary Stochastic Response Analysis for Linear and Nonlinear Structures by FFT (2019)Efficient Nonstationary Stoch…Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation (2018)Wiener Path Integral based re…Simulation of Multivariate Nonstationary Random Processes: Hybrid Stochastic Wave and Proper Orthogonal Decomposition Approach (2017)Simulation of Multivariate No…A stochastic harmonic function representation for non-stationary stochastic processes (2017)A stochastic harmonic functio…Wavelet-expansion-based stochastic response of chain-like MDOF structures (2015)Wavelet-expansion-based stoch…Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Stochastic response determina…Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Nonstationary Stochastic Resp…An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method (2014)An efficient simulation appro…Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation (2013)Survival Probability Determin…Stochastic joint time–frequency response analysis of nonlinear structural systems (2013)Stochastic joint time–frequen…Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Response and First-Passage St…Nonlinear MDOF system stochastic response determination via a dimension reduction approach (2012)Nonlinear MDOF system stochas…Probabilistic Theory of Structural Dynamics (1976)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Stochastic Differential Equations: Theory and Applications. 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this work references cited by second hop

References

  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 2002Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme279 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 cited

Cited by

  • 2014Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral128 cited
  • 2017A stochastic harmonic function representation for non-stationary stochastic processes121 cited
  • 2012Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach101 cited
  • 2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
  • 2017Simulation of Multivariate Nonstationary Random Processes: Hybrid Stochastic Wave and Proper Orthogonal Decomposition Approach82 cited
  • 2019Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions67 cited
  • 2012Nonlinear MDOF system stochastic response determination via a dimension reduction approach62 cited

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2018
Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation
56 cited
  • 2013Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation44 cited
  • 2014An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method43 cited
  • 2020Reduction of random variables in the Stochastic Harmonic Function representation via spectrum-relative dependent random frequencies29 cited
  • 2013Stochastic joint time–frequency response analysis of nonlinear structural systems28 cited
  • 2015Wavelet-expansion-based stochastic response of chain-like MDOF structures24 cited
  • 2019Path Integral approach via Laplace’s method of integration for nonstationary response of nonlinear systems20 cited
  • 2020An exact and efficient time-domain method for random vibration analysis of linear structures subjected to uniformly modulated or fully non-stationary excitations17 cited
  • 2019Efficient Nonstationary Stochastic Response Analysis for Linear and Nonlinear Structures by FFT14 cited