The probabilistic solution of stochastic oscillators with even nonlinearity under poisson excitation

• Autorzy: Siu-Siu Guo , Guo-Kang Er
• Języki publikacji: EN

Abstrakty

EN

The probabilistic solutions of nonlinear stochastic oscillators with even nonlinearity driven by Poisson white noise are investigated in this paper. The stationary probability density function (PDF) of the oscillator responses governed by the reduced Fokker-Planck-Kolmogorov equation is obtained with exponentialpolynomial closure (EPC) method. Different types of nonlinear oscillators are considered. Monte Carlo simulation is conducted to examine the effectiveness and accuracy of the EPC method in this case. It is found that the PDF solutions obtained with EPC agree well with those obtained with Monte Carlo simulation, especially in the tail regions of the PDFs of oscillator responses. Numerical analysis shows that the mean of displacement is nonzero and the PDF of displacement is nonsymmetric about its mean when there is even nonlinearity in displacement in the oscillator. Numerical analysis further shows that the mean of velocity always equals zero and the PDF of velocity is symmetrically distributed about its mean.

Słowa kluczowe

EN

even nonlinearity; exponential-polynomial closure method; Fokker-Planck-Komogorov (FPK) equation; poisson white noise

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 702-707

Daty

wydano

2012-06-01

online

2012-06-17

Twórcy

autor

Siu-Siu Guo

• Faculty of Science and Technology, University of Macau, Macau SAR, China,

autor

Guo-Kang Er

• Faculty of Science and Technology, University of Macau, Macau SAR, China,

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Identyfikatory

DOI

10.2478/s11534-012-0062-7