SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral
9 references·16 citing·34 second hop
Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Stochastic response determination of nonl…Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination (2011)Harmonic wavelets based stati…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 (2008)Simulation and the Monte Carl…Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…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 (1993)Random vibration of mechanica…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…A new general law of deformation (1921)A new general law of deformat…First excursion probability of dynamical systems: A review on computational methods (2025)First excursion probability o…Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE (2022)Stochastic response determina…Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration (2022)Response of nonlinear oscilla…Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements (2020)Stochastic Response Analysis …Reduction of random variables in the Stochastic Harmonic Function representation via spectrum-relative dependent random frequencies (2020)Reduction of random variables…Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)Path Integral Methods for the…Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries (2020)Addressing the curse of dimen…Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems (2019)Wiener path integrals and mul…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…Nonlinear random vibrations of plates endowed with fractional derivative elements (2017)Nonlinear random vibrations o…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…Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Galerkin Scheme-Based Determi…Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers (2015)Stochastic dynamic response a…An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems (2015)An Efficient Wiener Path Inte…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)Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (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)A note on the principle of preservation of probability and probability density evolution equation (2008)Random vibration and statistical linearization (1990)Simulation of Stochastic Processes by Spectral Representation (1991)A stochastic harmonic function representation for non-stationary stochastic processes (2017)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The principle of preservation of probability and the generalized density evolution equation (2006)Efficient reliability analysis of structures with the rotational quasi-symmetric point- and the maximum entropy methods (2017)A cubature collocation based sparse polynomial chaos expansion for efficient structural reliability analysis (2018)Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions (2019)Simulation of Ergodic Multivariate Stochastic Processes (1996)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Stochastic Dynamics of Marine Structures (2012)Nonlinear Random Vibrations of Beams with Fractional Derivative Elements (2014)Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)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)First excursion probabilities for linear systems by very efficient importance sampling (2001)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)Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Meta-model-based importance sampling for reliability sensitivity analysis (2014)Modified linear estimation method for generating multi-dimensional multi-variate Gaussian field in modelling material properties (2014)
this work references cited by second hop

References

  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 1993Random vibration of mechanical and structural systems464 cited
  • 1921A new general law of deformation365 cited
  • 2008Simulation and the Monte Carlo method308 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
  • 2011Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination147 cited

Cited by

  • 2015Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers92 cited
  • 2015An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems86 cited
  • 2016Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements72 cited
  • 2018Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach56 cited
  • 2018

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation
56 cited
  • 2020Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries54 cited
  • 2018Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique51 cited
  • 2019Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems47 cited
  • 2017A Wiener Path Integral Solution Treatment and Effective Material Properties of a Class of One-Dimensional Stochastic Mechanics Problems37 cited
  • 2022Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE36 cited
  • 2025First excursion probability of dynamical systems: A review on computational methods32 cited
  • 2022Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration32 cited
  • 2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process30 cited
  • 2020Reduction of random variables in the Stochastic Harmonic Function representation via spectrum-relative dependent random frequencies29 cited
  • 2020Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements29 cited
  • 2017Nonlinear random vibrations of plates endowed with fractional derivative elements28 cited