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- W2017604894 abstract "This paper studies the stationary probability density function (PDF) of the response of multi-degree-of-freedom nonlinear systems under external independent Poisson white noises. The PDF is governed by the high-dimensional generalized Fokker–Planck–Kolmogorov (FPK) equation. The state-space-split (3S) method is adopted to reduce the high-dimensional generalized FPK equation to a low-dimensional equation. Subsequently, the exponential-polynomial closure (EPC) method is further used to solve the reduced FPK equation for the PDF solution. Two illustrative examples are presented to examine the accuracy of the 3S-EPC solution procedure. One example involves a two-degree-of-freedom coupled nonlinear system. The other example is concerned with a ten-degree-of-freedom system with cubic terms in displacement. A Monte Carlo simulation is also performed for simulating the PDF solution of the response. The comparison with the simulated result shows that the 3S-EPC solution procedure can provide satisfactory PDF solutions. The good agreement is also observed in the tail regions of the PDF solutions." @default.
- W2017604894 created "2016-06-24" @default.
- W2017604894 creator A5071029533 @default.
- W2017604894 date "2012-06-01" @default.
- W2017604894 modified "2023-09-26" @default.
- W2017604894 title "Probabilistic solution of some multi-degree-of-freedom nonlinear systems under external independent Poisson white noises" @default.
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- W2017604894 doi "https://doi.org/10.1121/1.4714766" @default.
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