UM  > 科技學院  > 土木及環境工程系
Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method
ER GuoKang; IU VaiPan
2011-09-01
Source PublicationScience China: Physics, Mechanics and Astronomy
ISSN1674-7348
Volume54Issue:9Pages:1631-1637
Abstract

The probabilistic solutions to some nonlinear stochastic dynamic (NSD) systems with various polynomial types of nonlinearities in displacements are analyzed with the subspace-exponential polynomial closure (subspace-EPC) method. The space of the state variables of the large-scale nonlinear stochastic dynamic system excited by Gaussian white noises is separated into two subspaces. Both sides of the Fokker-Planck-Kolmogorov (FPK) equation corresponding to the NSD system are then integrated over one of the subspaces. The FPK equation for the joint probability density function of the state variables in the other subspace is formulated. Therefore, the FPK equations in low dimensions are obtained from the original FPK equation in high dimensions and the FPK equations in low dimensions are solvable with the exponential polynomial closure method. Examples about multi-degree-offreedom NSD systems with various polynomial types of nonlinearities in displacements are given to show the effectiveness of the subspace-EPC method in these cases. 

KeywordFokker-planck-kolmogorov Equation Large-scale Systems Nonlinear Stochastic Dynamic Systems Probability Density Function Subspace-epc
DOIhttps://doi.org/10.1007/s11433-011-4443-5
URLView the original
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000293797100013
PublisherSCIENCE PRESS, 16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA
Fulltext Access
Citation statistics
Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
AffiliationFaculty of Science and Technology, University of Macau, Macau SAR, China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
ER GuoKang,IU VaiPan. Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method[J]. Science China: Physics, Mechanics and Astronomy,2011,54(9):1631-1637.
APA ER GuoKang,&IU VaiPan.(2011).Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method.Science China: Physics, Mechanics and Astronomy,54(9),1631-1637.
MLA ER GuoKang,et al."Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method".Science China: Physics, Mechanics and Astronomy 54.9(2011):1631-1637.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[ER GuoKang]'s Articles
[IU VaiPan]'s Articles
Baidu academic
Similar articles in Baidu academic
[ER GuoKang]'s Articles
[IU VaiPan]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[ER GuoKang]'s Articles
[IU VaiPan]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.