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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
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. © 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
Indexed BySCIE
Language英語English
WOS IDWOS:000264648500007
Scopus ID2-s2.0-60949109332
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
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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