李方慧, 倪振华, 谢壮宁. POD方法在重建双坡屋盖风压场中的应用[J]. 工程力学, 2005, 22(S1): 177-182,.
引用本文: 李方慧, 倪振华, 谢壮宁. POD方法在重建双坡屋盖风压场中的应用[J]. 工程力学, 2005, 22(S1): 177-182,.
LI Fang-hui, NI Zhen-hua, XIE Zhuang-ning. APPLICATION OF POD TO RECONSTRUCTION OF WIND PRESSURE FIELDS ON PITCHED ROOF[J]. Engineering Mechanics, 2005, 22(S1): 177-182,.
Citation: LI Fang-hui, NI Zhen-hua, XIE Zhuang-ning. APPLICATION OF POD TO RECONSTRUCTION OF WIND PRESSURE FIELDS ON PITCHED ROOF[J]. Engineering Mechanics, 2005, 22(S1): 177-182,.

POD方法在重建双坡屋盖风压场中的应用

APPLICATION OF POD TO RECONSTRUCTION OF WIND PRESSURE FIELDS ON PITCHED ROOF

  • 摘要: 讨论了本征正交分解(POD)方法在重建双坡屋盖随机风压场上的应用。利用风洞试验同步测量了屋盖上非均匀分布的测压点的风压时间序列,借助相关矩阵和协方差矩阵本征值问题分析,分别对包含均值分量的随机风压场和不含均值分量的脉动风压场进行了重建。通过在时域和频域上与实测数据的对比分析说明了POD方法在重建双坡屋盖随机风压场中的有效性,总结了屋盖上不同区域脉动风压场重建的规律,并指出仅使用相关矩阵的第一阶本征模态就可以很好地重建屋盖的平均风压场。

     

    Abstract: This paper discusses the application of Proper Orthogonal Decomposition (POD) to the reconstruction of the r andom wind pressure field acting on a pitched roof. The wind pressure time series at non-uniformly distributed pressure taps over the roof were measured simultaneously in a wind tunnel test. With the analysis of eigenvalue-problems of the correlation matrix and the covariance matrix, the r andom pressure field with the mean value and the fluctuating pressure field without the mean value were reconstructed, respectively. The effectiveness of POD in the reconstruction of wind pressure fields of pitched roofs is illustrated by comparing with original data in the time domain and frequency domain. Regularity of reconstruction of the fluctuating pressure field in different region of the roof is summarized. It is found that the first eigenvector of the correlation matrix is sufficient to reconstruct the time-averaged pressure field.

     

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