基于自回归模型的桥梁脉动风场模拟
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摘要
为了客观量化桥梁结构上各点处的脉动风速时程从而为准确计算风荷载效应提供前提保证,在考虑结构节点间的风速时程相关性的基础上,采用线性滤波技术亦即白噪声滤波法中的自回归模型(AR)模拟了某斜拉桥主梁上个别代表点处在任意200 s时长内的风速随机时程.该模型通过线性滤波器将白噪声随机序列输出为符合一定谱特征的平稳随机过程.分别采用Kaimal谱和Panofsky谱作为水平向风和竖向风的风速谱.结果表明:AR模型可以有效模拟脉动风速时程,合成的随机风速时程能够客观反映各代表点风速的时间相关性和空间相关性,其功率谱和目标功率谱也吻合较好.
Objective quantification of fluctuating wind speed time series around the body of bridge structure offers guarantee for the accurate calculation of wind effect of the structure. Base on the correlativity of nodal wind speed time history, the Auto-Regressive(AR) model of the white noise filtration method was used to simulate the time history of fluctuating wind within any 200 seconds at representative points on the main beam of a cable-stayed bridge. Through the linear filter, a white noise random series with zero mean were transferred to be a stationary random process with specified spectral characteristics. Herein, the spectrum of Kaimal and the spectrum of Panofsky were used to simulate the horizontal and vertical wind spectrum respectively. The results of numerical wind speed time series show that AR model is efficient in simulating nodal wind speed time series which has time and space correlativity. The simulated power spectrum density is consistent with the target power spectrum density and correlation function is reasonable.
Objective quantification of fluctuating wind speed time series around the body of bridge structure offers guarantee for the accurate calculation of wind effect of the structure. Base on the correlativity of nodal wind speed time history, the Auto-Regressive(AR) model of the white noise filtration method was used to simulate the time history of fluctuating wind within any 200 seconds at representative points on the main beam of a cable-stayed bridge. Through the linear filter, a white noise random series with zero mean were transferred to be a stationary random process with specified spectral characteristics. Herein, the spectrum of Kaimal and the spectrum of Panofsky were used to simulate the horizontal and vertical wind spectrum respectively. The results of numerical wind speed time series show that AR model is efficient in simulating nodal wind speed time series which has time and space correlativity. The simulated power spectrum density is consistent with the target power spectrum density and correlation function is reasonable.
引文
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[7]徐赵东,土木工程常用软件分析与应用(MATLABSAP2000-ANSYS)[M].北京:中国建筑工业出版社,2010:133.XU Zhao-dong.Analysis and application of commonly used software in Civil Engineering(MATLABSAP2000-ANSYS)[M].Beijing:China Architecture&Building press,2010:133.(in Chinese)
[2]张希黔,葛勇,严春风,等.脉动风场模拟技术的研究与进展[J].地震工程与工程振动,2008,28(6):206-211.ZHANG Xi-qian,GE Yong,YAN Chun-feng,et al.Advances in research of simulation technology of fluctuation wind loading[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(6):206-211.(in Chinese)
[3]李春祥,都敏,韩兵康.基于AR模型模拟超高层建筑的脉动风速时程[J].地震工程与工程振动,2008,28(3):87-94.LI Chun-xiang,DU Min,HAN Bing-kang.Simulation of fluctuating wind speed time series of super tall buildings based on AR model[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(3):87-94.(in Chinese)
[4]张文福,马昌恒,肖岩.风场模拟中AR模型的若干问题[J].计算力学学报,2009,26(1):124-130.ZHANG Wen-fu,MA Chang-heng,XIAO Yan.Some issues on AR models for wind field simulation[J].Chinese Journal of Computational Mechanics,2009,26(1):124-130.(in Chinese)
[5]张田,夏禾,郭薇薇.基于多维AR模型的桥梁随机风场模拟[J].中南大学学报:自然科学版,2012,43(3):1114-1121.ZHANG Tian,XIA He,GUO Wei-wei.Simulation ofbridge stochastic wind field using multi-variate autoregressive model[J].Journal of Central South University:Natural Science Edition),2012,43(3):1114-1121.(in Chinese)
[6]李瑞平,周宁,张卫华,等.基于AR模型的接触网脉动风场与风振响应[J].交通运输工程学报,2013,13(4):56-62.LI Rui-ping,ZHOU Ning,ZHANG Wei-hua,et al.Fluctuating wind field and wind-induced vibration response of catenary based on AR model[J].Journal of Traffic and Transportation Engineering,2013,13(4):56-62.(in Chinese)
[7]徐赵东,土木工程常用软件分析与应用(MATLABSAP2000-ANSYS)[M].北京:中国建筑工业出版社,2010:133.XU Zhao-dong.Analysis and application of commonly used software in Civil Engineering(MATLABSAP2000-ANSYS)[M].Beijing:China Architecture&Building press,2010:133.(in Chinese)
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