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EPC procedure for PDF solution of non-linear oscillators excited by Poissonwhite noise
Zhu H.T.; Er G.K.; Iu V.P.; Kou K.P.
2009-04-01
Source PublicationInternational Journal of Non-Linear Mechanics
ISSN0020-7462
Volume44Issue:3Pages:304-310
Abstract

The stationary probability density function (PDF) solution of the responses of non-linear stochastic oscillators subjected to Poisson pulses is analyzed. The PDF solutions are obtained by the exponential-polynomial closure (EPC) method. To assess the effectiveness of the solution procedure numerically, non-linear oscillators are analyzed with different impulse arrival rates, degree of oscillator non-linearity and excitation intensity. Numerical results show that the PDFs obtained with the EPC method yield good agreement with those obtained from Monte Carlo simulation when the polynomial order is 4 or 6. It is also observed that the EPC procedure is the same as the equivalent linearization procedure under Gaussian white noise in the case of the polynomial order being 2. 

KeywordExponential-polynomial Function Poisson White Noise Probability Density Function Stochastic Non-linear Oscillator
DOIhttps://doi.org/10.1016/j.ijnonlinmec.2008.12.003
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMechanics
WOS SubjectMechanics
WOS IDWOS:000264648500007
PublisherPERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Fulltext Access
Citation statistics
Cited Times [WOS]:14   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding AuthorZhu H.T.
AffiliationDepartment of Civil and Environmental Engineering, University of Macau, Macao SAR, PR China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhu H.T.,Er G.K.,Iu V.P.,et al. EPC procedure for PDF solution of non-linear oscillators excited by Poissonwhite noise[J]. International Journal of Non-Linear Mechanics,2009,44(3):304-310.
APA Zhu H.T.,Er G.K.,Iu V.P.,&Kou K.P..(2009).EPC procedure for PDF solution of non-linear oscillators excited by Poissonwhite noise.International Journal of Non-Linear Mechanics,44(3),304-310.
MLA Zhu H.T.,et al."EPC procedure for PDF solution of non-linear oscillators excited by Poissonwhite noise".International Journal of Non-Linear Mechanics 44.3(2009):304-310.
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