Residential College | false |
Status | 已發表Published |
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 Publication | International Journal of Non-Linear Mechanics |
ISSN | 0020-7462 |
Volume | 44Issue: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. |
Keyword | Exponential-polynomial Function Poisson White Noise Probability Density Function Stochastic Non-linear Oscillator |
DOI | 10.1016/j.ijnonlinmec.2008.12.003 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mechanics |
WOS Subject | Mechanics |
WOS ID | WOS:000264648500007 |
Publisher | PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
Scopus ID | 2-s2.0-60949109332 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING Faculty of Science and Technology |
Corresponding Author | Zhu H.T. |
Affiliation | Department of Civil and Environmental Engineering, University of Macau, Macao SAR, PR China |
First Author Affilication | University of Macau |
Corresponding Author Affilication | University 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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