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Response of Systems Under Non-Gaussian Random Excitations
5 references·5 citing·28 second hop
Response of Systems Under Non-Gaussian Random Excitations (2006)Response of Systems Under Non-Gaussian Ra…A new model for non-Gaussian random excitations (1993)A new model for non-Gaussian …Digital Generation of Non‐Gaussian Stochastic Fields (1988)Digital Generation of Non‐Gau…On the relation between ordinary and stochastic differential equations (1965)On the relation between ordin…On stochastic differential equations (1951)On stochastic differential eq…On a Formula Concerning Stochastic Differentials (1951)On a Formula Concerning Stoch…Stationary response analysis for a linear system under non-Gaussian random excitation by the equivalent non-Gaussian excitation method and the Hermite moment model (2023)Stationary response analysis …Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method (2023)Non-stationary non-Gaussian r…Approximate analytical methods for stationary response probability density of a SDOF system with a nonlinear spring under non-Gaussian random excitation (2022)Approximate analytical method…Dynamics of a Duffing oscillator with the stiffness modeled as a stochastic process (2019)Dynamics of a Duffing oscilla…Multiple timescale spectral analysis (2014)Multiple timescale spectral a…Stochastic Differential Equations in a Differentiable Manifold (1950)Stochastic Differential Equations in a Differentiable Manifold (2) (1953)On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures (1960)Digital simulation of random processes and its applications (1972)Neumann Expansion for Stochastic Finite Element Analysis (1988)Simulation of Ergodic Multivariate Stochastic Processes (1996)Monte Carlo techniques in computational stochastic mechanics (1998)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Non‐Normal Stochastic Response of Linear Systems (1986)Stochastic Structural Mechanics (1987)Variations in steepness of the probability density function of beam random vibration (2000)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Simulation of Stationary Non-Gaussian Translation Processes (1998)Simulation of second-order processes using Karhunen–Loeve expansion (2002)Stochastic averaging: An approximate method of solving random vibration problems (1986)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)Probabilistic Theory of Structural Dynamics (1976)Nonlinear Vibration Models for Extremes and Fatigue (1988)Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case (1969)Optimum consumption and portfolio rules in a continuous-time model (1971)Entropy Search for Information-Efficient Global Optimization (2011)Stochastic analysis, rough path analysis and fractional Brownian motions (2002)Approaching complexity by stochastic methods: From biological systems to turbulence (2011)A Wong-Zakai theorem for stochastic PDEs (2015)
this work references cited by second hop

References

  • 1951On stochastic differential equations843 cited
  • 1965On the relation between ordinary and stochastic differential equations697 cited
  • 1951On a Formula Concerning Stochastic Differentials369 cited
  • 1988Digital Generation of Non‐Gaussian Stochastic Fields317 cited
  • 1993A new model for non-Gaussian random excitations38 cited

Cited by

  • 2014Multiple timescale spectral analysis25 cited
  • 2023Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method11 cited
  • 2019Dynamics of a Duffing oscillator with the stiffness modeled as a stochastic process6 cited
  • 2022Approximate analytical methods for stationary response probability density of a SDOF system with a nonlinear spring under non-Gaussian random excitation6 cited
  • 2023Stationary response analysis for a linear system under non-Gaussian random excitation by the equivalent non-Gaussian excitation method and the Hermite moment model5 cited

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