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Title: Response cumulant analysis of a linear oscillator driven by Morison force
Authors: Zheng, X.Y. 
Liaw, C.Y. 
Keywords: Correlation function
Drag force cubicization
Fourth-order cumulant function
Morison force
Price's theorem
Three-dimensional FFT
Issue Date: May-2004
Citation: Zheng, X.Y., Liaw, C.Y. (2004-05). Response cumulant analysis of a linear oscillator driven by Morison force. Applied Ocean Research 26 (3-4) : 154-161. ScholarBank@NUS Repository.
Abstract: A frequency-domain cumulant spectral analysis method is developed in this study to estimate the higher-order statistics of the linear oscillator responses driven by Morison wave force. The fourth-order cumulant function of the nonlinear drag force is formulated in terms of the autocorrelation functions of water particle velocity. Price's theorem is applied to evaluate the associated higher-order joint moments. Three-dimensional Fourier Transforms are employed to obtain the trispectra of Morison force and oscillator responses. The estimated force and response kurtosis are in good agreement with those obtained from time-domain simulations; while the proposed method is found to be much more efficient. The numerical results also show that the drag force cubicization based on the least square approximation results in an overestimation of the kurtosis values; in addition, it is necessary to include the joint moments of order higher than eighth. © 2005 Elsevier Ltd. All rights reserved.
Source Title: Applied Ocean Research
ISSN: 01411187
DOI: 10.1016/j.apor.2005.01.001
Appears in Collections:Staff Publications

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