基于HHT方法的应县木塔动态结构检测
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摘要
本文以应县木塔结构加固维修工程为背景,采用地基微波干涉雷达对应县木塔进行动态结构检测,应用希尔伯特—黄变换(Hilbert-Huang Transform,HHT)进行结构模态参数识别。为提高参数识别精度采用经验模态分解(Empirical Mode Decomposition,EMD)对高频检测数据进行降噪重构,准确计算出木塔的一至五层的固有频率,并分析出木塔在检测期间的缓慢变形规律,为分析木塔的结构特性与木塔的结构修复、安全保护提供可靠的数据支撑。
In this paper,the dynamic structure deformation of the wooden tower is detected by groundbased microwave interference radar in the project of reinforcement and repair of the Yingxian wooden tower.The Hilbert-Huang Transform( HHT) is used to identify the modal parameters of the monitoring data. In order to improve the accuracy of parameter,Empirical Mode Decomposition( EMD) is used to de-noise and reconstruct the high-frequency to accurately calculate the natural frequencies of the wooden tower from one to five layers. The obtained slow deformation can be used to analyze the structural characteristics and provide reliable data support for the structure repair and safety protection of the wooden tower.
In this paper,the dynamic structure deformation of the wooden tower is detected by groundbased microwave interference radar in the project of reinforcement and repair of the Yingxian wooden tower.The Hilbert-Huang Transform( HHT) is used to identify the modal parameters of the monitoring data. In order to improve the accuracy of parameter,Empirical Mode Decomposition( EMD) is used to de-noise and reconstruct the high-frequency to accurately calculate the natural frequencies of the wooden tower from one to five layers. The obtained slow deformation can be used to analyze the structural characteristics and provide reliable data support for the structure repair and safety protection of the wooden tower.
引文
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[14]柯世堂,赵林,邵亚会等. Wavelet_Huang和Hilbert_Huang方法用于非高斯风压信号分析的比较研究[J].土木工程学报,2011,44(6):61~67.Ke Shitang,Zhao Lin,Shao Yahui et al. Comparative study of Wavelet_Huang and Hilbert_Huang methods for non-Gaussian wind pressure signal analysis[J]. China Civil Engineering Journal,2011,44(6):61~67.(in Chinese)
[15]王婷. EMD算法研究及其在信号去噪中的应用[D].哈尔滨:哈尔滨工程大学,2010.Wang Ting. Research on EMD algorithm and its application in signal denoising[D]. Harbin:Harbin Engineering University,2010.(in Chinese)
[2]温瑞智,周正华,毛国滨等.应县木塔环境振动试验[J].地震工程与工程振动,2006,(4):136~140.Wen Ruizhi,Zhou Zhenghua,Mao Guobin et al. Environmental vibration test of wooden towers in Yingxian county[J].Earthquake Engineering and Engineering Vibration, 2006,(4):136~140.(in Chinese)
[3]李铁英,魏剑伟,张善元等.应县木塔实体结构的动态特性试验与分析[J].工程力学,2005,(1):141~146.Li Tieying,Wei Jianwei,Zhang Shanyuan et al. Experimental and analysis of dynamic characteristics of physical structure of Yingta wooden pagoda[J]. Engineering Mechanics, 2005,(1):141~146.(in Chinese)
[4] Gentile C,Bernardini G. Output-only modal identification of a reinforced concrete bridge from radar-based measurements[J].Ndt&E International,2008,41(7):544~553.
[5] Beben D. Application of the interferometric radar for dynamic tests of corrugated steel plate(CSP)culvert[J]. Ndt&E International,2011,44(5):405~412.
[6] Gentile C. Deflection measurement on vibrating stay cables by non-contact microwave interferometer[J]. NDT&E International,2010,43(3):231~240.
[7] Campbell,S. Kwok,K. C. S.,Hitchcock,P. A.,Tse,K.T.,Leung,H. Y.,2007. Fieldmeasurements of natural periods of vibration and structural damping ofwind-excited tall residential buildings. Wind and Structures,10(5):401~420.
[8] Comp,C. J. Axelrad,P.,1998. Adaptive SNR-based carrier phase multipath mitigationtechnique. Transactions of the Aerospace and Electronic Systems,34(1):264~276.
[9] C,elebi,M.,. GPS and/or strong and weak motion structural response measurements—Case studies,Proceedings,Structural Engineers World Congress,CD-ROM,San Francisco,CA. C,elebi,M.,Prescott,W.,Stein,R.,Hudnut,K.,Behr,J.,and Wilson,S.,1999. GPS monitoringof dynamic behavior of long-period structures,Earthquake Spectra 15,55~66.
[10] Guo,J.,and Ge,S.,1997. Research on displacement and frequency of tall buildings under windloading using GPS,ION Conference Proceedings, Kansas City, MO, September.Hudnut,K. W., and Behr, J., 1998. A continuous GPS monitoring of structural deformation at Pacoima Dam,California,Seismol. Res. Lett. 69,299~308.
[11] Au SK,Zhang FL. Ambient modal identification of a primarysecondary structure by fast Bayesian FFT method. Mechanical Systems and Signal Processing 2012; 28:280~296.
[12] Au SK,Ni YC,Zhang FL,Lam HF. Full-scale dynamic testing and modal identification of a coupled floor slab system.Engineering Structures 2012; 37:167~178.
[13] Lam HF, Peng HY, Au SK. Development of a practical algorithm for Bayesian model updating of a coupled slab systemutilizing field test data. Engineering Structures 2014; 79:182~194.
[14]柯世堂,赵林,邵亚会等. Wavelet_Huang和Hilbert_Huang方法用于非高斯风压信号分析的比较研究[J].土木工程学报,2011,44(6):61~67.Ke Shitang,Zhao Lin,Shao Yahui et al. Comparative study of Wavelet_Huang and Hilbert_Huang methods for non-Gaussian wind pressure signal analysis[J]. China Civil Engineering Journal,2011,44(6):61~67.(in Chinese)
[15]王婷. EMD算法研究及其在信号去噪中的应用[D].哈尔滨:哈尔滨工程大学,2010.Wang Ting. Research on EMD algorithm and its application in signal denoising[D]. Harbin:Harbin Engineering University,2010.(in Chinese)