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Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications
10 references·8 citing·26 second hop
Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications (2005)Linearization in Analysis of Nonlinear St…Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory (2005)Linearization in Analysis of …Equivalent linearization and Monte Carlo simulation in stochastic dynamics (2003)Equivalent linearization and …Stochastic analysis of structural and mechanical vibrations (1996)Stochastic analysis of struct…Random vibration of mechanical and structural systems (1993)Random vibration of mechanica…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…Linearization in Analysis of Nonlinear Stochastic Systems (1991)Linearization in Analysis of …Computational Stochastic Mechanics (1991)Computational Stochastic Mech…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Stochastic Linearization in Structural Dynamics (1988)Stochastic Linearization in S…A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems (2020)A highly-efficient method for…Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)Formulation of Statistical Li…Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems (2017)Stationary Response Probabili…Sixty years of stochastic linearization technique (2016)Sixty years of stochastic lin…The Duffing oscillator under combined periodic and random excitations (2012)The Duffing oscillator under …A Nearly Exact Reformulation of the Girsanov Linearization for Stochastically Driven Nonlinear Oscillators (2012)A Nearly Exact Reformulation …A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation (2012)A dual criterion of stochasti…The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators (2006)The Girsanov Linearization Me…Simulation and the Monte Carlo Method (1981)Stochastic Finite Elements: A Spectral Approach (1991)A half-century of stochastic equivalent linearization (2005)Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study (2007)Simulation and the Monte Carlo Method (2016)Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions (1995)Stochastic Analysis (1997)Monte Carlo solution of structural dynamics (1972)Probabilistic Theory of Structural Dynamics (1976)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)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)Importance sampling for randomly excited dynamical systems (2003)Generalized polynomial chaos and random oscillators (2004)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Reliability assessment in structural dynamics (2013)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)
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References

  • 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
  • 1996Stochastic analysis of structural and mechanical vibrations255 cited
  • 1991Computational Stochastic Mechanics215 cited
  • 1988Stochastic Linearization in Structural Dynamics196 cited
  • 2003Equivalent linearization and Monte Carlo simulation in stochastic dynamics152 cited
  • 1991Linearization in Analysis of Nonlinear Stochastic Systems94 cited
  • 2005Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory86 cited

Cited by

  • 2016Sixty years of stochastic linearization technique52 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
  • 2017Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems29 cited
  • 2006The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators

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22 cited
  • 2012A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation22 cited
  • 2020A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems14 cited
  • 2012A Nearly Exact Reformulation of the Girsanov Linearization for Stochastically Driven Nonlinear Oscillators9 cited