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Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems
0 references·16 citing·35 second hop
Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems (1980)Formulation of Stochastic Linearization f…Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method (2023)Non-stationary non-Gaussian r…Dynamic reliability analysis of structures under nonstationary stochastic excitations using tail-modified extreme value distribution (2023)Dynamic reliability analysis …A conditional extreme value distribution method for dynamic reliability analysis of stochastic structures (2023)A conditional extreme value d…Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)Formulation of Statistical Li…A Difference-Wavelet Method for Solving Generalized Density Evolution Equation in Stochastic Structural Analysis (2016)A Difference-Wavelet Method f…The Duffing oscillator under combined periodic and random excitations (2012)The Duffing oscillator under …An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics (2004)An extension of the Kazakov r…Non-linear multi-degree-of-freedom system random vibration by equivalent statistical quadratization (1992)Non-linear multi-degree-of-fr…Stochastic finite element analysis of non-linear plane trusses (1991)Stochastic finite element ana…Random Vibration of Flexible, Uncertain Beam Element (1991)Random Vibration of Flexible,…Equivalent Statistical Quadratization for Nonlinear Systems (1991)Equivalent Statistical Quadra…Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems (1990)Comparison between equivalent…Cumulant-neglect closure method for asymmetric non-linear systems driven by Gaussian white noise (1989)Cumulant-neglect closure meth…Comparison of Gaussian closure technique and equivalent linearization method (1987)Comparison of Gaussian closur…Methods of stochastic structural dynamics (1986)Methods of stochastic structu…Monte Carlo simulations of responses of non-symmetric dynamic system to random excitations (1981)Monte Carlo simulations of re…Monte Carlo solution of structural dynamics (1972)Stochastic Linearization in Structural Dynamics (1988)Random vibration and statistical linearization (1990)Response spectral densities of strongly nonlinear systems under random excitation (1997)A Galerkin Approach for Power Spectrum Determination of Nonlinear Oscillators (2002)CONTRIBUTION TO RANDOM VIBRATION NUMERICAL SIMULATION AND OPTIMISATION OF NONLINEAR MECHANICAL SYSTEMS (2019)Probabilistic Theory of Structural Dynamics (1976)Random vibration and statistical linearization (1990)A non-Gaussian stochastic linearization method (2006)Explicit solutions for the response probability density function of nonlinear transformations of static random inputs (2013)A probability transformation method (PTM) for the dynamic stochastic response of structures with non-Gaussian excitations (2018)Method for Random Vibration of Hysteretic Systems (1976)Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Stochastic linearization of MDOF systems under parametric excitations (1992)Probability density equivalent linearization technique for nonlinear oscillator with stochastic excitations (1998)On stochastic differential equations (1951)On the Convergence of Ordinary Integrals to Stochastic Integrals (1965)Differential moment equations of FE modelled structures with geometrical non-linearities (1990)Reliability of Uncertain Nonlinear Trusses Under Random Excitation. I (1994)Risk and Reliability Analysis (2017)The stochastic finite-element method (1980)Random field finite elements (1986)Recent Developments in Stochastic Finite Elements (1992)Nonprobabilistic modelling of dynamically loaded beams under uncertain excitations (1993)Eigenvalues of structures with uncertain elastic boundary restraints (2006)Simulation of Nonstationary Random Process (1967)Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems (1972)A finite-element method for analysis of a non-linear system under stochastic parametric and external excitation (1996)A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems (2020)Equivalent Linearization Method IN NONLINEAR FEM (1989)On computational stochastic structural dynamics applying finite elements (2001)Introduction to Random Vibrations (1983)A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries (2023)An extrapolation approach within the Wiener path integral technique for efficient stochastic response determination of nonlinear systems (2024)A comprehensive study on seismic dynamic responses of stochastic structures using sparse grid-based polynomial chaos expansion (2024)
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Cited by

  • 1991Equivalent Statistical Quadratization for Nonlinear Systems53 cited
  • 1986Methods of stochastic structural dynamics51 cited
  • 2012The Duffing oscillator under combined periodic and random excitations46 cited
  • 2019Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations36 cited
  • 2004An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics30 cited
  • 1987Comparison of Gaussian closure technique and equivalent linearization method27 cited
  • 1992Non-linear multi-degree-of-freedom system random vibration by equivalent statistical quadratization27 cited
  • 1981Monte Carlo simulations of responses of non-symmetric dynamic system to random excitations24 cited
  • 1991Random Vibration of Flexible, Uncertain Beam Element23 cited
  • 1991Stochastic finite element analysis of non-linear plane trusses20 cited
  • 1989Cumulant-neglect closure method for asymmetric non-linear systems driven by Gaussian white noise20 cited
  • 2023A conditional extreme value distribution method for dynamic reliability analysis of stochastic structures18 cited
  • 2023Dynamic reliability analysis of structures under nonstationary stochastic excitations using tail-modified extreme value distribution

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16 cited
  • 2016A Difference-Wavelet Method for Solving Generalized Density Evolution Equation in Stochastic Structural Analysis16 cited
  • 1990Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems12 cited
  • 2023Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method11 cited