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On the Exceedance Probabilities of Extreme Drift Motions of An Offshore Structure

China Ocean Engineering 2009年第1期23卷 27-35页

作者：王迎光谭家华薛雷平 School of Naval Architecture Ocean and Civil EngineeringShanghai Jiao Tong University

The response statistics of a compliant offshore structure excited by slowly varying wave drift forces is calculated by use of a numerical path integral solution method. The path integral solution is based on the Ganss-Legendre interpolation scheme, and the values of the response probability density are obtained at the Gauss quadrature points in sub-intervals. It is demonstrated that a distinct advantage of the path integral solution is that the joint probability density of the response displacement and velocity is one of the by products of the calculations. This makes it possible to calculate the mean level up-crossing rates, which provides estimates of the exceedance probabilities of specified response levels for given time periods.

关键词： exceedance probabilities mean level up-crossing rates path integral solution method compliant offshore structure joint probability density

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Cosine Moments and Their Application to ∑ Relationships

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Chemical Research in Chinese Universities 1990年第1期6卷 62-66页

作者： Guo Dongyao (Institute of Theoretical Chemistry, Jilin University, Changchun)Guo Shishan (Chemistry Department, Jilin University, Changchun)

Recent advances In the theory of ∑ relationships lead to the Investigation of moments needed to derive the relavant joint probability densities. These together with the linear theory of relationships, make possible the calcualtion of therelationships from ∑1 to ∑2 one by one. The superior performance ofour new ∑4 and ∑r relationships, for example, with respect to the older ∑1 and ∑3 formulas strongly suggests a deeper study of the pertinent moments. In this paper a new concept, the cosine moment, is introduced which, together with a certain integral theorem, permits the derivation of the relevant joint probability densities. These lead in turn to the derivation of all ∑ relationships valid for all the space groups.

关键词： Consine moment,∑ relationship joint probability density

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