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An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation
6 references·0 citing·22 second hop
An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation (2022)An efficient approach for predicting the …Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach (1999)Propagation of probabilistic …Analysis of multi-degree of freedom strongly non-linear mechanical systems with random input (1999)Analysis of multi-degree of f…Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method (1995)Nonlinear response of a beam …Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Digital simulation of random processes and its applications (1972)Digital simulation of random …Simulation of Multivariate and Multidimensional Random Processes (1971)Simulation of Multivariate an…Stochastic averaging: An approximate method of solving random vibration problems (1986)Nonlinear Stochastic Dynamic Engineering Systems (1988)Random vibration and statistical linearization (1990)Probability density function for stochastic response of non-linear oscillation system under random excitation (2010)Stochastic joint time–frequency response analysis of nonlinear structural systems (2013)Hilbert Transform–Based Stochastic Averaging Technique for Determining the Survival Probability of Nonlinear Oscillators (2019)Random vibration and statistical linearization (1990)Computational Stochastic Mechanics (1991)Comparison of Nonlinear Random Response Using Equivalent Linearization and Numerical Simulation (2000)Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes (2002)A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation (2012)Stochastic Finite Elements: A Spectral Approach (1991)Numerical solution of spectral stochastic finite element systems (1996)Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)Long-term behavior of polynomial chaos in stochastic flow simulations (2006)Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients (2012)Monte Carlo solution of structural dynamics (1972)Simulation of Stationary Gaussian Processes in [0, 1]d (1994)An Introduction to Computational Stochastic PDEs (2014)Simulation of Ergodic Multivariate Stochastic Processes (1996)The stochastic finite element method: Past, present and future (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
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References

  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1971Simulation of Multivariate and Multidimensional Random Processes659 cited
  • 1999Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach186 cited
  • 1999Analysis of multi-degree of freedom strongly non-linear mechanical systems with random input43 cited
  • 1995Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method27 cited

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