本征正交分解技术及其在预测屋盖风压场中的应用

本征正交分解（POD）是以能量表述的随机场的最优分解，采用瑞利商概念及其极值性质推导了POD原理。根据风洞试验同步采集的风压数据利用POD技术预测了圆拱顶屋盖未布置测压点位置的风压时间序列。对预测风压包括均值、均方根值、极值在内的统计特性，时程曲线以及功率谱与实测风压作了比较。通过采用完全二次型组合法计算屋盖风致响应对所提预测方法的有效性进行了检查。

POD technique and its application to prediction of wind pressure fields on roof

The Proper Orthogonal Decomposition(POD) is an optimal decomposition of random fields in terms of an energy representation.The principle of POD is deduced by the concept of Rayleigh quotient and its extreme property.On the base of the wind pressure data which are measured simultaneously in a wind tunnel test,wind pressure time series on the locations of a dome-like roof where the pressure taps are not distributed are predicted by means of POD technique.The statistics,such as the mean value,root mean square value,peak value,time-history curves and auto-spectra of the predicted pressures have been compared with those of the measured pressures.The wind-induced responses of roof are calculated by using both the predicted pressure data and the measured pressure data and then the relevant results are compared.The effectiveness of the proposed prediction approach is examined by the analyses of the wind-induced responses of the roof that is obtained through Complete-Quadratic-Combination(CQC) method.