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Analysis of multi-degree of freedom strongly non-linear mechanical systems with random input
3 references·7 citing·26 second hop
Analysis of multi-degree of freedom strongly non-linear mechanical systems with random input (1999)Analysis of multi-degree of freedom stron…Random vibration and statistical linearization (1990)Random vibration and statisti…Nonlinear Stochastic Dynamic Engineering Systems (1988)Nonlinear Stochastic Dynamic …Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation (2022)An efficient approach for pre…Hilbert Transform–Based Stochastic Averaging Technique for Determining the Survival Probability of Nonlinear Oscillators (2019)Hilbert Transform–Based Stoch…Analytical computation method for steady-state stochastic response of a time-delay nonlinear automotive suspension system (2019)Analytical computation method…Stochastic joint time–frequency response analysis of nonlinear structural systems (2013)Stochastic joint time–frequen…The Tale of Stochastic Linearization Technique: Over Half a Century of Progress (2012)The Tale of Stochastic Linear…Probability density function for stochastic response of non-linear oscillation system under random excitation (2010)Probability density function …Non-linear systems of multiple degrees of freedom under both additive and multiplicative random excitations (2004)Non-linear systems of multipl…Monte Carlo solution of structural dynamics (1972)Simulation of Stochastic Processes by Spectral Representation (1991)On the relation between ordinary and stochastic differential equations (1965)Random vibration and statistical linearization (1990)Numerical methods for calculating the response of a deterministic and stochastically excited Duffing oscillator (2015)The generalized EPC method for the non-stationary probabilistic response of nonlinear dynamical system (2023)An exponential-spectral mapping method for solving probability density evolution equations of stochastic dynamical systems (2025)On stochastic differential equations (1951)Probabilistic Theory of Structural Dynamics (1976)Stochastic Dynamics of Structures (2009)Operator norm-based determination of failure probability of nonlinear oscillators with fractional derivative elements subject to imprecise stationary Gaussian loads (2023)Survival probability determination of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation (2023)Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation (2025)Simulation of Multivariate and Multidimensional Random Processes (1971)Digital simulation of random processes and its applications (1972)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)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation (2015)An exact and efficient time-domain method for random vibration analysis of linear structures subjected to uniformly modulated or fully non-stationary excitations (2020)A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems (2025)Response of non-linear systems with parameter uncertainties (1992)Probability density statistical and equivalent linearization techniques (2002)
this work references cited by second hop

References

  • 1990Random vibration and statistical linearization995 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 1988Nonlinear Stochastic Dynamic Engineering Systems68 cited

Cited by

  • 2013Stochastic joint time–frequency response analysis of nonlinear structural systems28 cited
  • 2019Hilbert Transform–Based Stochastic Averaging Technique for Determining the Survival Probability of Nonlinear Oscillators28 cited
  • 2010Probability density function for stochastic response of non-linear oscillation system under random excitation27 cited
  • 2019Analytical computation method for steady-state stochastic response of a time-delay nonlinear automotive suspension system24 cited
  • 2012The Tale of Stochastic Linearization Technique: Over Half a Century of Progress9 cited
  • 2022An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation8 cited
  • 2004Non-linear systems of multiple degrees of freedom under both additive and multiplicative random excitations8 cited

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