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Approximate solution for nonlinear random vibration problems by partial stochastic linearization
5 references·3 citing·24 second hop
Approximate solution for nonlinear random vibration problems by partial stochastic linearization (1993)Approximate solution for nonlinear random…A new approximate solution technique for randomly excited non-linear oscillators—II (1992)A new approximate solution te…Computational Stochastic Mechanics (1991)Computational Stochastic Mech…Stochastic Linearization in Structural Dynamics (1988)Stochastic Linearization in S…Random vibration—status and recent developments (1988)Random vibration—status and r…On a Formula Concerning Stochastic Differentials (1951)On a Formula Concerning Stoch…A new stationary PDF approximation for non-linear oscillators (2000)A new stationary PDF approxim…Non-linear stochastic dynamics of systems with random properties: A spectral approach combined with statistical linearization (1996)Non-linear stochastic dynamic…Methods of nonlinear random vibration analysis (1995)Methods of nonlinear random v…Probabilistic Theory of Structural Dynamics (1976)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Exact and approximate solutions for randomly excited MDOF non-linear systems (1996)Multi-Gaussian closure method for randomly excited non-linear systems (1998)Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)Digital simulation of random processes and its applications (1972)Stochastic Finite Elements: A Spectral Approach (1991)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Simulation (1987)Monte Carlo solution of structural dynamics (1972)Finite element methods in probabilistic mechanics (1987)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Stochastic Dynamics and Control (2006)Computational stochastic mechanics – recent advances (2001)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)On stationary solutions of a stochastic differential equation (1964)Diffusion processes with continuous coefficients, I (1969)Itô’s stochastic calculus: Its surprising power for applications (2010)Stability analysis of a stochastic column subjected to stochastically distributed loadings using the finite element method (1992)Random vibration of structures by the finite element method (1993)Are Probabilistic and Anti-Optimization Approaches Compatible? (1999)
this work references cited by second hop

References

  • 1951On a Formula Concerning Stochastic Differentials369 cited
  • 1991Computational Stochastic Mechanics215 cited
  • 1988Stochastic Linearization in Structural Dynamics196 cited
  • 1992A new approximate solution technique for randomly excited non-linear oscillators—II65 cited
  • 1988Random vibration—status and recent developments58 cited

Cited by

  • 1996Non-linear stochastic dynamics of systems with random properties: A spectral approach combined with statistical linearization14 cited
  • 2000A new stationary PDF approximation for non-linear oscillators13 cited
  • 1995Methods of nonlinear random vibration analysis11 cited

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