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Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach

4 references·16 citing·27 second hopsampled

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References

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
2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
2015An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems86 cited

Cited by

2020Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries54 cited
2019Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems47 cited
2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process30 cited
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
2023

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A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries

24 cited

2024An extrapolation approach within the Wiener path integral technique for efficient stochastic response determination of nonlinear systems24 cited

2022Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method22 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

2020Probabilistic analysis on parametric random vibration of a marine riser excited by correlated Gaussian white noises16 cited

2022A Wiener Path Integral Formalism for Treating Nonlinear Systems with Non-Markovian Response Processes16 cited

2021Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment15 cited

2023Nonlinear stochastic dynamics of an array of coupled micromechanical oscillators11 cited