屋盖结构非高斯风压场两步快速模拟法研究  

Research on two-step fast algorithm for simulation of non-Gaussian wind pressure fields on roof structures

作　　者：李璟[1] 韩大建[2] 

机构地区：[1]广东工业大学土木与交通工程学院,广东广州510006 [2]华南理工大学亚热带建筑科学国家重点实验室,广东广州510640

出　　处：《建筑结构学报》2010年第4期78-85,共8页Journal of Building Structures

基　　金：国家科技支撑计划子课题项目(2006BAJ01B07-05)

摘　　要：作用于屋盖结构上的风压场具有明显的非高斯特性。针对这个特点,采用三次多项式表达风压过程和虚拟高斯过程之间的转换关系,推导出关于多项式所含参数的非线性方程组,利用高斯随机向量联合矩的特性获得相关函数的转换关系,从而建立了一种多变量平稳非高斯风压场的模拟方法。为了进一步提高计算效率和适应大型屋盖非线性风振响应分析的需要,将上述方法与本征正交分解法相结合,并采用B样条曲面插值技术,提出了屋盖结构非高斯风压场两步快速模拟的新方法。通过一个大跨度体育场屋盖的风压场计算,模拟了建议方法的计算过程。计算结果表明,建议方法模拟精度和计算效率较高,说明该方法应用于大型屋盖风压场计算的显著优势。The wind pressure acting on roof structures has significant non-Gaussian feature.To solve the problem,a cubic polynomial was used to express the transformation of a fictitious Gaussian process to the non-Gaussian wind pressure process.Then a set of nonlinear equations was derived to determine the parameters of the polynomial.Based on the property of joint moments of Gaussian stochastic vector,the relation between correlation functions was obtained.Therefore a simulation method was developed for generating sample functions of a multi-variate stationary non-Gaussian wind pressure field.In order to improve efficiency further and meet the requirements of nonlinear wind-induced response analysis of large scale roofs,a two-step fast algorithm which combines the above method,POD（proper orthogonal decomposition） method,and B-spline surface interpolation technique,was proposed for simulation of non-Gaussian wind pressure fields on roof structures.Further,the proposed method was demonstrated by a wind pressure field simulation of a large-span stadium roof.It is shown that the proposed method is both accurate and efficient.Hence the method is advantageous for wind pressure field simulation of large scale roofs.

关 键 词：屋盖结构 风压场模拟 非高斯过程 三次多项式 B样条插值 

分 类 号：O211.6[理学—概率论与数理统计] TU311.3[理学—数学]