脉动风速过程模拟的正交展开-随机函数方法

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (8) : 120-124.

论文

脉动风速过程模拟的正交展开-随机函数方法

刘章军，万勇，曾波

作者信息 +

Simulation of fluctuating wind processes by orthogonal expansion-random function approach

LIU Zhang-jun, WANG Yong, ZENG Bo

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文章历史 +

摘要

在随机过程的正交展开基础上，采用随机函数的思想，提出了脉动风速随机过程模拟的正交展开-随机函数方法。通过将展开式中的一组标准正交随机变量表达为基本随机变量的正交函数形式，实现了用一个基本随机变量来表达原随机过程的目的。应用正交展开-随机函数方法，对脉动风速随机过程进行模拟分析。结果表明，在二阶数值统计意义上，仅需用一个基本随机变量即可对脉动风速随机过程进行精确模拟，进而体现了正交展开-随机函数方法的有效性和优越性。

Abstract

Based on the orthogonal expansion of stochastic processes, and the idea of random function, a hybrid orthogonal expansion-random function approach is proposed to simulate fluctuating wind. In this method, these standard orthogonal random variables in the orthogonal expansion formula can be denoted by the orthogonal function form of a basic random variable. Through investigating the form of orthogonal random functions, the original stochastic process can be readily functioned by a single basic random variable. Utilizing the proposed approach, schemes for simulation of fluctuating wind processes are presented. The results show that the proposed approach can accurately capture the second-order statistics of fluctuating wind processes using only a basic random variable, and show the effectiveness and advantages of the orthogonal expansion-random function method.

导出引用

刘章军;万勇;曾波. 脉动风速过程模拟的正交展开-随机函数方法[J]. 振动与冲击, 2014, 33(8): 120-124

LIU Zhang-jun;WANG Yong;ZENG Bo. Simulation of fluctuating wind processes by orthogonal expansion-random function approach[J]. Journal of Vibration and Shock, 2014, 33(8): 120-124