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Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping
dc.creator | Li, Wei | |
dc.creator | Zhao, Junfeng | |
dc.creator | Trišović, Nataša | |
dc.creator | Zhang, Y. | |
dc.date.accessioned | 2022-09-19T17:30:35Z | |
dc.date.available | 2022-09-19T17:30:35Z | |
dc.date.issued | 2014 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/1981 | |
dc.description.abstract | In this paper, the Galerkin method is presented to estimate the approximate stationary and non-stationary responses of nonlinear random dynamical systems with fractional derivative damping. Based on equivalent linearization method, the equation of motion is reverted to a linear equation in terms of envelope and phase process at first. After that, stochastic averaging method is used to get an averaged Ito differential equation with fractional derivative approximated by a periodic function. Finally, the approximate non-stationary probability density function solution of the associated Fokker-Planck equation is obtained by applying the Galerkin method. The application on a Rayleigh oscillator shows that the methods we utilized in this paper are efficient and reliable by comparing the stationary solution between the exact and approximated one. | en |
dc.publisher | American Society of Civil Engineers (ASCE) | |
dc.rights | restrictedAccess | |
dc.source | Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of th | |
dc.title | Solutions to Stochastic Dynamical Systems with Fractional Derivative Damping | en |
dc.type | conferenceObject | |
dc.rights.license | ARR | |
dc.citation.epage | 1963 | |
dc.citation.other | : 1949-1963 | |
dc.citation.rank | M33 | |
dc.citation.spage | 1949 | |
dc.identifier.doi | 10.1061/9780784413609.195 | |
dc.identifier.scopus | 2-s2.0-84933520560 | |
dc.type.version | publishedVersion |
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