UM
EPC procedure for PDF solution of non-linear oscillators excited by Poisson white noise
Zhu,H. T.; Er,G. K.; Iu,V. P.; Kou,K. P.
2009
Source PublicationInternational Journal of Non-Linear Mechanics
ISSN0020-7462
Volume44Issue:3Pages:304-310
AbstractThe 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. © 2008 Elsevier Ltd. All rights reserved.
KeywordExponential-polynomial function Poisson white noise Probability density function Stochastic non-linear oscillator
DOI10.1016/j.ijnonlinmec.2008.12.003
URLView the original
Language英语
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Cited Times [WOS]:14   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
AffiliationDepartment of Civil and Environmental Engineering,University of Macau,Macao SAR,Macao
First 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 Poisson white 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 Poisson white 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 Poisson white noise".International Journal of Non-Linear Mechanics 44.3(2009):304-310.
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