| 一种新的非线性波浪周期概率分布 |
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| 引用本文： | 张军,宋文鹏,葛勇.一种新的非线性波浪周期概率分布[J].海洋学报,2011,33(1):12-16. |
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| 作者姓名： | 张军 宋文鹏 葛勇 |
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| 作者单位： | 1.国家海洋局 第三海洋研究所, 福建 厦门361005 |
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| 基金项目： | 国家自然科学基金(40706012);国家海洋局青年基金(2008209);财政部基本科研业务费专项资金(海三科2007010)。 |
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| 摘 要： | 在最大熵原则的基础上,通过解一条件变分问题,导出一种新的适用于描述非线性波浪周期T统计分布的概率密度函数.这种概率分布有如下的优越性:(1)该分布的参数是由无因次周期的m(m为正数)阶分布矩得出,从而周期的信息熵达到最大,故适用于描述波浪周期的非线性;(2)该分布有4个参数,从而更能符合最大熵原则;(3)该分布形式简单...
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| 关 键 词： | 非线性波浪 最大熵原则 周期 |
| 收稿时间： | 3/5/2010 12:00:00 AM |
A new probability distribution of non-linear wave periods |
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| ZHANG Jun,SONG Wen-peng and GE Yong.A new probability distribution of non-linear wave periods[J].Acta Oceanologica Sinica (in Chinese),2011,33(1):12-16. |
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| Authors: | ZHANG Jun SONG Wen-peng and GE Yong |
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| Institution: | 1.Third Institute of Oceanography, State Oceanic Administration, Xiamen 361005, China2.Key Laboratory of Marine Spill Oil Identification and Damage Assessment Technology, State Oceanic Administration, Qindao 266033, China; North China Sea Environmental Monitoring Center, State Oceanic Administration, Qindao 266033, China |
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| Abstract: | Based on the maximum entropy principle, a probability density function (PDF) for the periods of random waves is derived through solving a variational problem subject to some quite general constraints. The main points of the method are as follows: (1) the parameters in the function are expressed m-th distribution moments (m is positive number).This PDF maximizes the information entropy of T , so it is well competent for describing the distribution of T of nonlinear sea waves with large uncertainty; (2) this PDF have four parameters , so it is well competent for the maximum entropy principle; (3) its parameters can be simply determined from available data. Comparisons between the PDF and the observed distributions of periods data made from wave records measured in a wind-wave tunnel show well satisfying agreements and is more favorable than the Longuet-Higgins PDF. |
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| Keywords: | non-linear wave the maximum entropy principle periods |
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