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Non-linear stochastic response distributions by local statistical linearization
8 references·2 citing·27 second hop
Non-linear stochastic response distributions by local statistical linearization (2001)Non-linear stochastic response distributi…Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation (1999)Assessment of low probability…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Random vibration of mechanical and structural systems (1993)Random vibration of mechanica…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…New partial differential equations governing the joint, response–excitation, probability distributions of nonlinear systems, under general stochastic excitation (2008)New partial differential equa…A homotopic approach to domain determination and solution refinement for the stationary Fokker–Planck equation (2008)A homotopic approach to domai…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Simulation and the Monte Carlo Method (1981)Domain Decomposition Method for Calculating the Failure Probability of Linear Dynamic Systems Subjected to Gaussian Stochastic Loads (2006)Evaluating small failure probabilities of multiple limit states by parallel subset simulation (2010)Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noise (2014)Simulation and the Monte Carlo Method (2016)On stochastic differential equations (1951)Developments in stochastic structural mechanics (2006)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems (2006)Stochastic Differential Equations (2014)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The equivalent extreme-value event and evaluation of the structural system reliability (2006)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Simulation of Ergodic Multivariate Stochastic Processes (1996)New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs (2012)Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations (2013)A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise (2016)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)First excursion probabilities for linear systems by very efficient importance sampling (2001)An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)
this work references cited by second hop

References

  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 1993Random vibration of mechanical and structural systems464 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 1999Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation65 cited

Cited by

  • 2008New partial differential equations governing the joint, response–excitation, probability distributions of nonlinear systems, under general stochastic excitation31 cited
  • 2008A homotopic approach to domain determination and solution refinement for the stationary Fokker–Planck equation11 cited

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