Non-zero mean PDF solution of nonlinear oscillators due to poisson white noise
Er G.K.; Iu V.P.; Zhu H.T.; Kou K.P.
2010-08-24
Conference Name2nd International Symposium on Computational Mechanics 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science
Source PublicationAIP Conference Proceedings
Volume1233
IssuePART 1
Pages249-254
Conference DateNOV 30-DEC 03, 2009
Conference PlaceHong Kong – Macau
PublisherAMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Abstract

This paper presents a solution procedure for the PDF solution of the response of nonlinear oscillators under Poisson white noise. The exponential-polynomial closure (EPC) method is employed to fulfill this task. A van der Pol oscillator and a Duffing oscillator are further investigated in the case of nonzero mean response, respectively. When the polynomial order n increases to 6, the result of the EPC method is in good agreement with the simulation, particularly in the tail region of the PDF. The analysis shows that the non-zero mean PDF is not symmetrically distributed about its mean unlike the case of the zero-mean PDF. The numerical analysis also shows that the result obtained with the EPC method (n=2) is same as that from equivalent linearization method with which the result differs significantly from the simulation result. © 2010 American Institute of Physics.

KeywordNon-zero Mean Oscillator Poisson White Noise Probability Density Function
DOIhttps://doi.org/10.1063/1.3452175
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Civil ; Engineering, Mechanical ; Mathematics, Applied ; Mechanics
WOS IDWOS:000283003800041
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
AffiliationDepartment of Civil and Environmental Engineering, University of Macau, Macao SAR, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Er G.K.,Iu V.P.,Zhu H.T.,et al. Non-zero mean PDF solution of nonlinear oscillators due to poisson white noise[C]:AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA,2010:249-254.
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