Non-Zero Mean PDF Solution of Nonlinear Oscillators Due to Poisson White Noise

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	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.
	2010-06-01
Source Publication	Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science
Pages	249-253
Publisher	American Institute of Physics
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.
Keyword	Probability density function non-zero mean oscillator Poisson white noise
Language	英語English
The Source to Article	PB_Publication
PUB ID	45998
Document Type	Conference paper
Collection	DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING Faculty of Science and Technology
Corresponding Author	Er, G. K.
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]:American Institute of Physics, 2010, 249-253.
APA	Er, G. K.., Iu, V. P.., Zhu, H. T.., & Kou, K. P. (2010). Non-Zero Mean PDF Solution of Nonlinear Oscillators Due to Poisson White Noise. Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science, 249-253.

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