土木建筑工程

平稳随机脉动风场模拟的高维概率空间选点法

展开
  • 湖南大学 土木工程学院,湖南 长沙 410082
徐军 ( 1986-) ,男,博士,副教授,主要从事结构可靠度与大跨度结构抗灾性能研究。

收稿日期: 2021-01-12

  修回日期: 2021-03-08

  网络出版日期: 2021-03-23

基金资助

国家自然科学基金资助项目 ( 51978253)

Points Selection in High-Dimensional Random-Variate Space for Simulating Stationary Stochastic Wind Field

Expand
  • College of Civil Engineering,Hunan University,Changsha 410082,Hunan,China
徐军 ( 1986-) ,男,博士,副教授,主要从事结构可靠度与大跨度结构抗灾性能研究。

Received date: 2021-01-12

  Revised date: 2021-03-08

  Online published: 2021-03-23

Supported by

Supported by the National Natural Science Foundation of China ( 51978253)

摘要

为进行结构抗风可靠度分析,需对作用在结构上平稳随机脉动风场进行模拟。 采用谱表达法描述脉动风场往往涉及成千上万个随机变量,会造成 “维数灾难”问题。 基于此,本文提出一类高维概率空间选点法保障模拟的精度和效率,主要由 3 个步骤组 成: 高维概率空间的分解、正交子空间选点和随机配对得到高维概率空间离散代表点及 赋得概率。采用本文的方法模拟了某 30 层框架剪力墙结构上沿高度变化的水平风场, 研究表明: 本文的方法在二阶统计意义上具有很高的模拟精度和效率,可用少量的代表 性样本构建完备的概率集合,进一步结合概率密度演化法可对结构风振响应进行精细化 概率评价。

本文引用格式

徐军, 李哲帆, 张洋, 等 . 平稳随机脉动风场模拟的高维概率空间选点法[J]. 华南理工大学学报(自然科学版), 2021 , 49(10) : 95 -103 . DOI: 10.12141/j.issn.1000-565X.210015

Abstract

To perform wind-resistant reliability analysis of structures,it is necessary to simulate the stationary stochastic fluctuating wind field. Simulating the stochastic fluctuating wind fields through spectral representation method ( SRM) often involves thousands of random variables,leading to the“curse of dimensionality”. On this basis, this paper proposes a new method for points selection in high-dimensional random-variate space to ensure the accuracy and efficiency of SRM. The new method mainly consists of three steps: the decomposition of high-dimensional random-variate space,the points selection in the orthogonal subspaces,and the random pairing to obtain the representative points and assigned probabilities in high-dimensional random-variate space. The proposed method is used to investigate the horizontal wind field acting along the height of a 30-story frame-shear wall structure. The results show that the proposed method is of high accuracy and efficiency for the simulation in the second-order statistical sense and a complete probability set can be constructed by only using a small number of representative sample processes. Besides,the proposed method can be further combined with the probability density evolution method to elaborately evaluate the probabilistic response of wind-induced vibration of structures.
文章导航

/