平稳地震动过程的随机函数-谱表示模拟

刘章军;方 兴

振动与冲击 ›› 2013, Vol. 32 ›› Issue (24) : 6-10.

PDF(1744 KB)
PDF(1744 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (24) : 6-10.
论文

平稳地震动过程的随机函数-谱表示模拟

  • 刘章军,方 兴
作者信息 +

Simulation of stationary ground motion by the random function and spectral representation approach

  • Liu Zhangjun, Fang xing
Author information +
文章历史 +

摘要

在平稳随机过程的谱表示基础上,采用随机函数的思想,将谱表达式中的标准正交随机变量表示为基本随机变量的正交函数形式。通过两组随机正交三角函数的构造,实现了非高斯正交随机变量和高斯独立随机变量的随机函数表达。与经典的谱表示方法相比,采用随机函数表达,仅需1~2个基本随机变量即可描述原随机过程的概率特性,而且可以直接由功率谱密度函数生成具有给定概率的非高斯平稳过程和高斯平稳过程的样本函数。最后,结合平稳地震动加速度过程的功率谱密度函数,验证了随机函数-谱表示方法的有效性。

Abstract

Using the idea of random function, the standard orthogonal random variables in the spectral representation method is expressed as the orthogonal function form of basic random variables. Through constructing two different forms of stochastic orthogonal trigonometric functions, non-Gaussian orthogonal random variables and Gaussian independent random variables can be represented by the orthogonal trigonometric functions of the basic random variables. Compared to existing spectral representations of stochastic process, one or two basic random variables can capture the second-order statistics of the original stochastic process, and sample functions with assigned probability on the non-Gaussian stationary process or the Gaussian stationary process can be directly generated by the power spectral density function. Finally, combining the power spectral density function of stationary ground motion acceleration process, a numerical example is given to illustrate the effectiveness of the hybrid random function and spectral representation approach.



关键词

模拟 / 平稳地震动 / 谱表示 / 随机函数 / 功率谱密度函数

Key words

Simulation / stationary ground motion / spectral representation / stochastic function / power spectral density function

引用本文

导出引用
刘章军;方 兴. 平稳地震动过程的随机函数-谱表示模拟[J]. 振动与冲击, 2013, 32(24): 6-10
Liu Zhangjun;Fang xing. Simulation of stationary ground motion by the random function and spectral representation approach [J]. Journal of Vibration and Shock, 2013, 32(24): 6-10

PDF(1744 KB)

1645

Accesses

0

Citation

Detail

段落导航
相关文章

/