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An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems
10 references·16 citing·31 second hop
An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems (2015)An Efficient Wiener Path Integral Techniq…Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Stochastic response determina…Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Nonstationary Stochastic Resp…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)An analytical Wiener path int…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…Approximate solution of the Fokker–Planck–Kolmogorov equation (2002)Approximate solution of the F…Stationary and non-stationary probability density function for non-linear oscillators (1997)Stationary and non-stationary…Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Response statistics of nonlin…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation (2023)Refined probabilistic respons…First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation (2021)First-passage reliability of …Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements (2020)Stochastic Response Analysis …Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)Path Integral Methods for the…Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems (2019)Wiener path integrals and mul…Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method (2019)Non-stationary response of MD…Dimension-reduced probabilistic approach of 3-D wind field for wind-induced response analysis of transmission tower (2019)Dimension-reduced probabilist…Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation (2018)Wiener Path Integral based re…Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach (2018)Stochastic response determina…Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique (2018)Sparse representations and co…Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures (2018)Random function representatio…Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems (2017)Stationary Response Probabili…Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach (2017)Random vibration of linear an…Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)Approximate survival probabil…A Wiener Path Integral Solution Treatment and Effective Material Properties of a Class of One-Dimensional Stochastic Mechanics Problems (2017)A Wiener Path Integral Soluti…Statistical Linearization of Nonlinear Structural Systems with Singular Matrices (2016)Statistical Linearization of …Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)On the relation between ordinary and stochastic differential equations (1965)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Path integral solution for non-linear system enforced by Poisson White Noise (2008)Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method (2010)Dimension Reduction of the FPK Equation via an Equivalence of Probability Flux for Additively Excited Systems (2014)Digital simulation of random processes and its applications (1972)Method for Random Vibration of Hysteretic Systems (1976)Stochastic averaging: An approximate method of solving random vibration problems (1986)A new path integration procedure based on Gauss-Legendre scheme (1997)Equivalent linearization and Monte Carlo simulation in stochastic dynamics (2003)Approximate Method for Nonlinear Random Vibration (1975)Numerical solutions of Fokker–Planck equation of nonlinear systems subjected to random and harmonic excitations (2011)Nonlinear MDOF system stochastic response determination via a dimension reduction approach (2012)Random field finite elements (1986)Nonlinear Vibration Models for Extremes and Fatigue (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Simulation of Ergodic Multivariate Stochastic Processes (1996)Stochastic Dynamics of Marine Structures (2012)Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers (2015)Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Econometric Tools for Analyzing Market Outcomes (2007)Metamodel-based importance sampling for structural reliability analysis (2013)Everything you need to know about agent-based modelling and simulation (2016)
this work references cited by second hop

References

  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 1993Response statistics of nonlinear, compliant offshore structures by the path integral solution method187 cited
  • 2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
  • 2014Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral128 cited
  • 1997Stationary and non-stationary probability density function for non-linear oscillators108 cited
  • 2002Approximate solution of the Fokker–Planck–Kolmogorov equation104 cited
  • 2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited

Cited by

  • 2017Approximate survival probability determination of hysteretic systems with fractional derivative elements72 cited
  • 2021First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation57 cited
  • 2018Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach56 cited

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  • 2018Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation56 cited
  • 2018Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique51 cited
  • 2023Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation49 cited
  • 2019Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems47 cited
  • 2018Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures46 cited
  • 2017Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach43 cited
  • 2016Statistical Linearization of Nonlinear Structural Systems with Singular Matrices39 cited
  • 2019Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method38 cited
  • 2017A Wiener Path Integral Solution Treatment and Effective Material Properties of a Class of One-Dimensional Stochastic Mechanics Problems37 cited
  • 2019Dimension-reduced probabilistic approach of 3-D wind field for wind-induced response analysis of transmission tower31 cited
  • 2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process30 cited
  • 2017Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems29 cited
  • 2020Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements29 cited