Abstract：An effective inverse method is developed to estimate across-wind loads applied on a structure using wind-induced responses. The Kalman filter and proper orthogonal decomposition (POD) technique are utilized for the inverse identification from limited measured responses. The inverse method is applied to wind loads estimation of a square shaped super tall building. The across-wind loads acting on the super tall building were estimated and compared with those determined by a wind tunnel test. The feasibility and accuracy of the method were examined. The results show that the time history and power spectra of across-wind loads obtained in the present research match wind tunnel test. The accuracy of the estimated wind loads at different noise levels is acceptable in engineering practices. The presented results in this paper should be valuable for the design of super-tall buildings under wind storm or typhoon actions.
[1] Liu J J, Ma C K, Kung I C, Lin D C. Input force estimation of a cantilever plate by using a system identification technique [J]. Computer Methods in Applied Mechanics and Engineering, 2000,190(11): 1309–1322.
[2] Ma C K, Chang J M, Lin D C. Input forces estimation of beam structures by an inverse method [J]. Journal of Sound and Vibration, 2003, 259 (2): 387–407.
[3] Ma C K, Ho C C. An inverse method for the estimation of input forces acting on non-linear structural system [J]. Journal of Sound and Vibration, 2004, 275(3): 953–971.
[4] 饶柱石,施勤忠,荻原一郎. 基于逆系统分析法的多输入—多输出系统动态载荷的优化估计[J]. 振动与冲击,2000,19(02):9-12.
Rao Zhu-shi , Shi Qin-zhong, Ichiro H. INVERSE SYSTEM ANALYSIS BASED OPTIMAL ESTIMATION OF DYNAMIC LOADS FOR MULTIPLE_ INPUT MULTIPLE _ OUTPUT SYSTEM [J]. JOURNAL OF VIBRATION AND SHOCK, ,2000,19(02):9-12.
[5] Kang C C, Lo C Y. An inverse vibration analysis of a tower subjected to wind drags on a shaking ground [J]. Applied Mathematical Modeling, 2002, 26(4): 517–528.
[6] Law S S, Bu J Q, Zhu X Q. Time-varying wind load identification from structural responses [J]. Engineering Structure,2005, 27(10): 1586–1598.
[7] Hwang J S, Ahsan K, Kim H J. Wind load identification using wind tunnel test data by inverse analysis [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2010 ,99(1): 18–26.
[8] Hwang J S, Ahsan K, Kim W J. Estimation of modal loads using structural response [J]. Journal of Sound and Vibration , 2009, 326(3): 522–539.
[9] 陈隽,李杰.高层建筑风荷载反演研究[J].力学季刊,2001,22(1): 72–77.
Chen Jun ,Li Jie. Study on Wind Load Invesre of Tall Building [J]. Chinese Quarterly of Mechanics, 2001,22(1): 72–77.
[10] 熊铁华,梁枢果. 大跨越钢管混凝土输电塔顺风向分区风荷载谱识别方法[J]. 振动与冲击,2012,31(23):26-31.
XIONG Tie-hua, LIANG Shu-guo. Along-wind load spectra identification method for a long-pan concrete-filled steel-tube transmission tower [J].JOURNAL OF VIBRATION AND SHOCK, 2012,31(23):26-31.
[11] Li Q S, Zhi L H, Yi J. To, A., Xie, J.M.(2014). “Monitoring of typhoon effects on a super-tall building in Hong Kong.” Structural Control and Health Monitoring, 21(6):926-949.
[12] R.克拉夫,J.彭津.结构动力学 [M].王光远 译.北京：高等教育出版社，2006.
Ray C,Joseph P. Structural dynamics [M]. Wang Guang-yuan translation .Beijing: Higher education Press, 2006.
[13] 徐仲,张凯院,陆全,等. 矩阵论简明教程 [M]. 北京：科学出版社,2002.
XU Zhong,ZHANG Kai-yuan,LU Quan, et al.Introductory tutorial matrix theory[M]. Beijing:Science Press,2002.
[14] Chen X, Ahsan K. Proper orthogonal decomposition-based modeling, analysis, and simulation of dynamic wind load effects on structures [J]. ASCE Journal of Engineering Mechanics, 2005,131 (4): 325–339.
[15] Soong T T. Active Structural Control: Theory and Practice [M]. NewYork : John Wiley & Sons, 1990.
[16] Grewal M S & Andrews A P. Kalman Filtering:Theory and Practice Using Matlab [M]. NewYork : A Wiley-Interscience Publication, 2008.
[17] GB 50009-2012.建筑结构荷载规范 [S]. 北京: 中国建筑工业出版社,2012.
GB 50009-2012. Load code for the design of building structures [S]. Beijing:China architecture & building press,2012.
