基于峰频带通信号HHT变换的框架结构试验模态分析
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摘要
该文提出了基于峰频带通信号希尔伯特-黄变换(HHT)的结构模态参数识别方法。该方法将小波包带通滤波技术与HHT模态参数识别技术结合,有效的抑制了信号分解过程中的模态混叠现象。采用去端点法较好地解决了带通滤波和经验模式分解(EMD)所引起的端点效应问题,提高了算法的稳定性和可靠性。在此基础上,利用实验室条件下测得的脉冲加速度响应信号有效地识别出钢筋混凝土框架结构模型的模态参数,并和理论计算值进行了比较。结果表明:弯剪层模型比纯剪切层模型更能反映框架结构整体横向振动的动力特性。
An improved Hilbert-huang transformation(HHT) method based on bandpass signals is proposed for the identification of modal parameters of civil engineering structures,which is combined with the bandpass filter technology of wavelet packet transformation,efficiently restraining the phenomenon of modes mixing in empirical mode decomposition(EMD).To avoid the endpoint effect in the process of EMD and bandpass filter,the method of eliminating endpoints is adopted and it improves the reliability and stability of algorithm.The experiment modal analysis was conducted on a reinforced concrete frame structure,which is inspired by a pulse excitation,and compared with the theoretical calculations.The identification results show that the model considering node rotation is more accurate to reflect the dynamic characteristics on the transverse vibration of the structure.
An improved Hilbert-huang transformation(HHT) method based on bandpass signals is proposed for the identification of modal parameters of civil engineering structures,which is combined with the bandpass filter technology of wavelet packet transformation,efficiently restraining the phenomenon of modes mixing in empirical mode decomposition(EMD).To avoid the endpoint effect in the process of EMD and bandpass filter,the method of eliminating endpoints is adopted and it improves the reliability and stability of algorithm.The experiment modal analysis was conducted on a reinforced concrete frame structure,which is inspired by a pulse excitation,and compared with the theoretical calculations.The identification results show that the model considering node rotation is more accurate to reflect the dynamic characteristics on the transverse vibration of the structure.
引文
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[3]陈隽,徐幼麟,李杰.Hilbert-Huang变换在密频结构阻尼识别中的应用[J].地震工程与工程振动,2003,23(4):34―42.Chen Jun,Xu Youlin,Li Jie.Hilbert-Huang transformfor damping ratio identification of structures with closelyspaced modes of vibration[J].Earthquake Engineeringand Engineering Vibration,2003,23(4):34―42.(inChinese)
[4]顾远生,李春祥,刘畅.基于希尔伯特-黄变换的超高层建筑模态参数识别[J].建筑科学,2009,25(3):44―48,38.Gu Yuansheng,Li Chunxiang,Liu Chang.Identificationof modal parameters of super high buildings based onHilbert-Huang transform[J].Building Science,2009,25(3):44―48,38.(in Chinese)
[5]Chen Jun,Xu Youlin,Zhang R C.Modal parameteridentification of Tsing Ma suspension bridge undertyphoon victor:EMD-HT method[J].Journal of WindEngineering and Industrial Aerodynamics,2004,92:805―827.
[6]寇立夯,金峰.基于HHT方法的结构模态参数识别[J].水利水电科技进展,2008,28(3):45―49.Kou Lihang,Jin Feng.Modal parameter identification forengineering structures based on HHT method[J].Advances in Science and Technology of WaterResources,2008,28(3):45―49.(in Chinese)
[7]段希波,张计光,颜勇.基于Hilbert-Huang变换的多自由度参数辨识[J].上海大学学报,2006,12(4):403―407.Duan Xibo,Zhang Jiguang,Yan Yong.Identification ofmodal parameters of multiple degree-of-freedom systembased on Hilbert-Huang transform[J].Journal ofShanghai University,2006,12(4):403―407.(inChinese)
[8]黄天立,楼梦麟.基于HHT的非线性结构系统识别研究[J].地震工程与工程振动,2006,26(3):80―83.Huang Tianli,Lou Menglin.System identification ofnonlinear structures based on HHT[J].EarthquakeEngineering and Engineering Vibration,2006,26(3):80―83.(in Chinese)
[9]韩建平,李达文,王飞行.基于Hilbert-Huang变换和随机子空间识别的模态参数识别[J].地震工程与工程振动,2010,30(1):53―59.Han Jianping,Li Dawen,Wang Feixing.Modalparameter identification based on Hilbert-Huangtransform and stochastic subspace identification[J].Journal of Earthquake Engineering and EngineeringVibration,2010,30(1):53―59.(in Chinese)
[10]Xu Y L,Chen S W,Zhang R C.Modal identification ofDi Wang Building under Typhoon York using theHilbert-Huang transform method[J].The StructuralDesign of Tall and Special Buildings,2003,12(1):21―47.
[11]崔锦泰.小波分析导论[M].西安:西安交通大学出版社,1995:66―108.Cui Jintai.Introduction of wavelet analysis[M].Xi’an:Xi’an Jiaotong University Press,1995:66―108.(inChinese)
[12]倪振华.振动力学[M].西安:西安交通大学出版社,1989:61―67.Ni Zhenhua.Vibration dynamics[M].Xi’an:Xi’anJiaotong University Press,1989:61―67.(in Chinese)
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