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Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems
16 references·15 citing·26 second hop
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References

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128 cited
  • 1997Stationary and non-stationary probability density function for non-linear oscillators108 cited
  • Cited by

    • 2022Projection pursuit adaptation on polynomial chaos expansions33 cited
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    • 2020Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements29 cited
    • 2020Stochastic response determination of nonlinear structural systems with singular diffusion matrices: A Wiener path integral variational formulation with constraints27 cited
    • 2020An exact closed-form solution for linear multi-degree-of-freedom systems under Gaussian white noise via the Wiener path integral technique27 cited
    • 2020Functional Series Expansions and Quadratic Approximations for Enhancing the Accuracy of the Wiener Path Integral Technique25 cited
    • 2022Physically Driven Exact Dimension Reduction of a Class of Nonlinear Multidimensional Systems Subjected to Additive White Noise24 cited
    • 2021Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts21 cited
    • 2020Wiener path integral most probable path determination: A computational algebraic geometry solution treatment18 cited
    • 2022Exploiting expansion basis sparsity for efficient stochastic response determination of nonlinear systems via the Wiener path integral technique15 cited
    • 2020Identifying explicit expression of response probability density of nonlinear stochastic system: Information-theoretic method15 cited
    • 2021Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment15 cited
    • 2019An approximate technique for determining in closed form the response transition probability density function of diverse nonlinear/hysteretic oscillators11 cited
    • 2023The generalized EPC method for the non-stationary probabilistic response of nonlinear dynamical system10 cited