UM
Stationary probabilistic solutions of the cables with small sag and modeled as MDOF systems excited by Gaussian white noise
Er G.K.1; Iu V.P.1; Wang K.1; Guo S.S.2
2016-08-01
Source PublicationNonlinear Dynamics
ISSN1573269X 0924090X
Volume85Issue:3Pages:1887-1899
AbstractNonlinear random vibration of the cables with small sag-to-span ratio and excited by in-plane transverse uniformly distributed Gaussian white noise is studied by a nonlinear multi-degree-of-freedom system which is formulated with Galerkin’s method. The stationary probabilistic solutions of the nonlinear system are analyzed with the state-space-split method in conjunction with the exponential polynomial closure method. Effectiveness of this approach about the cable random vibration is examined through comparison with Monte Carlo simulation and equivalent linearization method. The probabilistic solutions of the cable random vibrations are also studied by modeling the cable as single-degree-of-freedom system and multi-degree-of-freedom system.
KeywordCable Exponential polynomial closure method Fokker–Planck–Kolmogorov equation Multi-degree-of-freedom Nonlinear random vibration State-space-split method
DOI10.1007/s11071-016-2802-5
URLView the original
Language英語
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Universidade de Macau
2.Xi'an University of Architecture and Technology
Recommended Citation
GB/T 7714
Er G.K.,Iu V.P.,Wang K.,et al. Stationary probabilistic solutions of the cables with small sag and modeled as MDOF systems excited by Gaussian white noise[J]. Nonlinear Dynamics,2016,85(3):1887-1899.
APA Er G.K.,Iu V.P.,Wang K.,&Guo S.S..(2016).Stationary probabilistic solutions of the cables with small sag and modeled as MDOF systems excited by Gaussian white noise.Nonlinear Dynamics,85(3),1887-1899.
MLA Er G.K.,et al."Stationary probabilistic solutions of the cables with small sag and modeled as MDOF systems excited by Gaussian white noise".Nonlinear Dynamics 85.3(2016):1887-1899.
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