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Nonlinear random vibration of the cable modeled as MDOF system and excited by filtered Gaussian white noise
Er G.K.; Iu V.P.; Wang K.
2015
Source PublicationProceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2015, Multibody Dynamics 2015
Pages100-108
AbstractWe investigate the nonlinear random vibration of the cables with small sag and excited by colored noise being filtered Gaussian white noise uniformly distributed on the cable. The nonlinear multi-degree-of-freedom systems are formulated based on the revised equation of motion of the geometrically nonlinear cable with Galerkin method. The nonlinear MDOF systems governing the motion of the cable at a given point are formulated and analyzed when the excitation is the filtered Gaussian white noise governed by linear second-order stochastic differential equation. Numerical results obtained with the state-space-split-EPC method, Monte Carlo simulation, and equivalent linearization method are given and compared. The computational efficiency and numerical accuracy of the three methods are also compared.
KeywordCable Fokker-Planck-Kolmogorov equation High dimensionality Nonlinear Random vibration State-space-split method
URLView the original
Language英語English
Fulltext Access
Document TypeConference paper
CollectionFaculty of Science and Technology
AffiliationUniversidade de Macau
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Er G.K.,Iu V.P.,Wang K.. Nonlinear random vibration of the cable modeled as MDOF system and excited by filtered Gaussian white noise[C], 2015, 100-108.
APA Er G.K.., Iu V.P.., & Wang K. (2015). Nonlinear random vibration of the cable modeled as MDOF system and excited by filtered Gaussian white noise. Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2015, Multibody Dynamics 2015, 100-108.
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