Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

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

16 references·4 citing·30 second hop

FromToDepth

this work references cited by second hop

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
1976Probabilistic Theory of Structural Dynamics1,398 cited
2009Stochastic Dynamics of Structures923 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
2011Stationary and non-stationary stochastic response of linear fractional viscoelastic systems115 cited
2018Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach56 cited
2018Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation56 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
2012The Duffing oscillator under combined periodic and random excitations46 cited
2017A Wiener Path Integral Solution Treatment and Effective Material Properties of a Class of One-Dimensional Stochastic Mechanics Problems37 cited
2019Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations

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

36 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

2010First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations28 cited

Cited by

2024An extrapolation approach within the Wiener path integral technique for efficient stochastic response determination of nonlinear systems24 cited
2023Operator norm-based determination of failure probability of nonlinear oscillators with fractional derivative elements subject to imprecise stationary Gaussian loads17 cited
2023Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems11 cited
2023A Reduced-Order Wiener Path Integral Formalism for Determining the Stochastic Response of Nonlinear Systems With Fractional Derivative Elements10 cited