非线性响应极值统计预报的研究  

A STUDY OF STATISTICAL PREDICTION OF MAXIMA AND MINIMA OF NONLINEAR RESPONSES IN IRREGUIAR WAVES

作　　者：於家鹏[1] 余滋红[1] 

机构地区：[1]中国船舶及海洋工程设计研究院

出　　处：《中国造船》1989年第1期22-33,共12页Shipbuilding of China

摘　　要：本文应用Voltera泛函序列,提出了船舶与海洋工程领域中非线性响应的极值统计预报方法。借助于一个简单的变换,首次完整地得到了非线性响应联合概率密度与极值分布密度,同时还考虑了带宽的影响,使之不仅适合于弱非线性,同样也适合于强非线性的情况。 计算结果与模拟统计样本结果颇相吻合,可在工程中应用。另外,与国外目前发表的文献相比,本文提出的公式最为简单,结果更为精确。Employing Voltera functional sequence, the paper presents the statical prediction of maxima and minima of nonlinear responses in the fields of ship and ocean engineerings. Based on a simple transformation, the cojoint probability density function and distribution density of extreme values can be obtained.In consideration of the effect of the band width of the response Spectrum, the proposed method may be used not only for the weak nonlinearity but also for the strong one. The calculated results are in good agreement with the simulated ones in the time domain.

关 键 词：极值点 非线性响应 船舶与海洋工程 统计预报 极值分布 概率密度 脉冲响应函数 弱非线性 统计样本 高阶矩 

分 类 号：U671[交通运输工程—船舶及航道工程]