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(1 同濟大學(xué)土木工程防災(zāi)國家重點實驗室, 上海 200092; 2 廣東省公路勘察規(guī)劃設(shè)計院有限公司, 廣州 510507)

［摘要］基于有限的風洞試驗測試結(jié)果，提出了結(jié)合本征正交分解（POD）和薄板樣條插值（TPS）預(yù)測未知點風壓的方法，并將此方法應(yīng)用于一座實際大跨度屋蓋結(jié)構(gòu)，在時域和頻域上預(yù)測值與試驗結(jié)果的對比證明了該方法的有效性和實用性。預(yù)測值與實測值的自功率譜在低頻及高頻部分都吻合得較好；相比自功率譜，相干函數(shù)預(yù)測的精度要低一些。同時指出POD\|TPS法得到的風壓值與直接薄板樣條插值結(jié)果幾乎是完全相同的，其預(yù)測結(jié)果完全取決于插值方法；POD法的好處在于，它將對時程的插值轉(zhuǎn)換為對少量本征模態(tài)的插值，大大降低了計算量。

［關(guān)鍵詞］POD；大跨度屋蓋；風壓；預(yù)測

中圖分類號：TU393.3， TU312.1文獻標識碼：A文章編號：1002-848X(2011)06-0098\|05

Application of POD combined with thin\|plate splines in research on wind pressure

Zhou Xuanyi¹, Li Gang²(1 State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China; 2 Guangdong Highway Design Institute Co., Ltd., Guangzhou 510507, China)

Abstract:The proper orthogonal decomposition (POD) method combined with thin plate splines(TPS) interpolation technique was used to predict the wind pressures on a large-span roof based on the limited data from the wind tunnel test. The validity and practicability of POD\|TPS method was illustrated by comparing the predicted results with original data in the time domain and frequency domain. The predicted results of auto\|power spectrum agrees well with original ones both in low and high frequency range, whereas the prediction accuracy for cross\|power spectrum is not better than that for auto\|power spectrum. At the same time, it is pointed out that, the predicted wind pressures obtained through POD\|TPS method are almost the same as that from TPS method, which indicates that the predicted results only depend on the interpolation technique. When adopting POD method, the interpolation of time series is replaced by that of space POD mode, which reduces the calculation cost.

Keywords:POD; large-span roof; wind pressure; prediction

*科技部國家重點實驗室基金資助（SLDRCE10\|B\|04）及國家自然科學(xué)基金創(chuàng)新研究群體科學(xué)基金（50621062）聯(lián)合資助。

作者簡介：周晅毅，博士，副研究員，Email:zhouxytj@#edu.cn。

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