华南理工大学学报(自然科学版) ›› 2007, Vol. 35 ›› Issue (7): 105-109.

• 土木建筑工程 • 上一篇    下一篇

谐波合成法模拟随机风场的优化算法

罗俊杰 韩大建   

  1. 华南理工大学 建筑学院,广东 广州 510640
  • 收稿日期:2006-09-04 出版日期:2007-07-25 发布日期:2007-07-25
  • 通信作者: 罗俊杰(1979-),男,博士生,主要从事大跨度结构抗风研究分析. E-mail:axljj@163.com
  • 作者简介:罗俊杰(1979-),男,博士生,主要从事大跨度结构抗风研究分析.
  • 基金资助:

    广州市科技攻关项目(2004Z3-E0351 )

Optimized Algorithm of Wave Superposition Method to Simulate Stochastic Wind Field

Luo Jun-jie  Han Da-jian   

  1. School of Architecture and Civil Engineering , South China Univ. of Tech. , Guangzhou 510640 , Guangdong , China
  • Received:2006-09-04 Online:2007-07-25 Published:2007-07-25
  • Contact: 罗俊杰(1979-),男,博士生,主要从事大跨度结构抗风研究分析. E-mail:axljj@163.com
  • About author:罗俊杰(1979-),男,博士生,主要从事大跨度结构抗风研究分析.
  • Supported by:

    广州市科技攻关项目(2004Z3-E0351 )

摘要: 为解决传统谐波合成法模拟多变量随机脉动风场效率低下的问题,首先将王谱密度函数矩阵分块,然后采用逆归优化算法进行矩阵的Cholesky 分解,同时引入矩阵来法算法来代替传统算法的叠加过程,从而减少了互谱密度矩阵中元素生成的数量,加快了矩阵分解和脉动风场合成的速度.工程实例表明,上述优化算法可有效减少整个模拟过程的计算时间,提高模拟效率.

关键词: 随机风场, 优化, 算法, 数值模拟, 矩阵分块

Abstract:

In order to improve the efficiency of the conventional wave superposition method in simulating the multivariable stochastic wind fields , an optimized recursive algorithm is employed to conduct the Cholesky factorization by blocking the cross-spectral density function matrix into several sub-matrices , and a matrix multiplication algorithm is introduced to replace the harrnonic superposition process of the conventional method. Thus , the number of
the elements for the factorization in the cross-spectral density matrix is reduced and the Cholesky factorization and the wind field synthesis are speeded up. The engineering practice indicates that the proposed optimized algorithm remarkably saves the simulation time and improves the simulation efficiency.

Key words: stochastic wind field, optimization, algorithm, numerical simulation, matrix blocking