随机海浪过程模拟随机函数方法

刘章军;刘 玲

振动与冲击 ›› 2014, Vol. 33 ›› Issue (20) : 1-6.

PDF(1552 KB)
PDF(1552 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (20) : 1-6.
论文

随机海浪过程模拟随机函数方法

  • 刘章军,刘 玲
作者信息 +

Simulation of stochastic ocean state by random function methods

  • LIU Zhang-jun,LIU Ling
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文章历史 +

摘要

在平稳随机过程模拟的谱表示与正交展开两种经典方法中通过引入标准正交随机变量的随机函数表达形式,实现用一个基本随机变量模拟原随机过程目的。在此两种模拟方法中通过选择基本随机变量的离散代表点集生成随机过程的样本函数集合,可实现由样本函数集合角度研究随机激励。分别对海浪过程模拟分析,均获得较理想结果。并对此两种模拟方法优缺点进行对比分析。

Abstract

Based on two classical simulation methods for stationary stochastic processes, including the spectral representation methodology and the orthogonal expansion method, through defining these standard orthogonal random variables in the two classical simulation methods as the orthogonal function form of a given basic random variable, so the original stochastic process can be represented by one basic random variable. In order to research a stochastic process from the set of its sample functions, discrete representative points of the basic random variable need be selected, and sample functions with assigned probability can be generated directly by the spectral representation methodology and the orthogonal expansion method, respectively. The two innovated methods are used to simulate random ocean state, and the simulated results are in excellent agreement with the prescribed probabilistic characteristics. Finally, some features of these two kinds of innovated simulation methods in applications are stated and compared.

关键词

随机海浪 / 模拟 / 谱表示 / 正交展开 / 随机函数

Key words

random ocean state / simulation / spectral representation / orthogonal expansion / random function

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导出引用
刘章军;刘 玲. 随机海浪过程模拟随机函数方法[J]. 振动与冲击, 2014, 33(20): 1-6
LIU Zhang-jun;LIU Ling. Simulation of stochastic ocean state by random function methods[J]. Journal of Vibration and Shock, 2014, 33(20): 1-6

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