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Technical Briefs

Probabilistic Solutions of the Stochastic Oscillators With Even Nonlinearity in Displacement

[+] Author and Article Information
Guo-Kang Er

Faculty of Science and Technology,  University of Macau, Macau SAR, Chinagker@umac.mo

Siu-Siu Guo

Faculty of Science and Technology,  University of Macau, Macau SAR, Chinayb07409@umac.mo

Vai Pan Iu

Faculty of Science and Technology,  University of Macau, Macau SAR, Chinavaipaniu@umac.mo

J. Vib. Acoust 134(5), 054501 (Jun 05, 2012) (3 pages) doi:10.1115/1.4006230 History: Received May 02, 2011; Revised December 28, 2011; Published June 04, 2012; Online June 05, 2012

The probabilistic solutions of the nonlinear stochastic oscillators with even nonlinearity in displacement are investigated with the exponential-polynomial closure method. Numerical results show that the results obtained from the exponential-polynomial closure method agree well with the simulated solution in the presented case, even if the mean of displacement is nonzero and the probability density function of the displacement is nonsymmetric about its mean.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

PDF of displacement

Grahic Jump Location
Figure 2

Logarithmic PDF of displacement

Grahic Jump Location
Figure 4

Logarithmic PDF of velocity

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