| 李璟,韩大建.大跨屋盖结构非高斯风场的快速模拟算法研究[J].计算力学学报,2010,27(2):280~285 |
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码上扫一扫！ |
| 大跨屋盖结构非高斯风场的快速模拟算法研究 |
| A research on fast algorithm for simulation of non-gaussian wind field on large-span roof structures |
| 投稿时间：2008-08-23 |
| DOI：10.7511/jslx20102017 |
| 中文关键词: 屋盖结构 非高斯过程 风压场模拟 四参数指数函数 非线性变换 |
| 英文关键词:roof structures non-Gaussian process wind pressure field simulation four-parameter exponential function nonlinear transformation |
| 基金项目:国家科技支撑项目子课题(2006BAJ01B07-E05)资助项目. |
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| 中文摘要: |
| 针对屋盖结构风压场的非高斯特性,本文提出一种多变量平稳非高斯风压场模拟的新方法。文中首次采用四参数指数函数表达风压过程和高斯过程之间的转换关系,推导出关于指数函数所含参数的非线性方程组,利用双变量联合高斯分布的特性获得相关函数的转换关系。通过上述方法,将非高斯风压场表达为虚拟高斯过程的函数,从而采用谐波合成法生成风压时间序列。工程实例表明,本文算法计算效率和模拟精度高,适合实际工程应用。 |
| 英文摘要: |
| To reproduce the non-Gaussian nature of wind pressure fluctuations on roofs, a new simulation algorithm is proposed for generating a multi-variate stationary non-Gaussian wind pressure field. A novel four-parameter exponential function is used to express the transformation of a Gaussian process to the non-Gaussian wind pressure process. Then a set of nonlinear equations is derived to determine the parameters of the exponential function. Based on the property of the joint density of a bi-variate Gaussian vector, the relation between correlation functions is obtained. Therefore the non-Gaussian wind pressure field is expressed as a function of a fictitious Gaussian vector process. And the wave superposition method can be employed to generate the underlying Gaussian processes. The engineering example indicates that the proposed algorithm is both efficient and accurate. Hence the algorithm is suitable for engineering application. |
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