悬臂梁结构模态参数Hilbert-Huang变换识别方法
|
摘要
结合悬臂梁在脉冲激励下的实测加速度响应记录,将Hilbert-Huang变换(HHT)方法应用于悬臂梁结构模态参数识别中。利用HHT方法识别悬臂梁结构的各阶固有频率和阻尼比,并将结果与悬臂梁结构的固有频率理论值、功率谱法得到的各阶固有频率值,以及分别用半功率带宽法、频率细化法、时域衰减法得到的各阶阻尼比进行比较。对比表明HHT方法有很好的识别效果。同时发现了HHT提取模态不完整,以及会出现"虚假模态"的问题。
The practical application of Hilbert-Huang transformation(HHT) method for structural modal parameters identification to a cantilever beam was investigated according to measured data of the acceleration response time histories for the cantilever beam under impulse excitation.The natural frequencies and modal damping ratios of the cantilever beam were identified using HHT method in combination with measured data.The identification results for the natural frequencies were compared with theoretical natural frequencies and those provided by the power spectrum method.Finally,the identification results for the modal damping ratios were compared with those provided by the half-power bandwidth method,the ZOOM FFT method and the time history decaying method,separately.The results demonstrate that HHT method is effective,robust and promising to structural parameters identification.Some problems of HHT method,such as it can not identify full modes and maybe identify "false modes",are found.
The practical application of Hilbert-Huang transformation(HHT) method for structural modal parameters identification to a cantilever beam was investigated according to measured data of the acceleration response time histories for the cantilever beam under impulse excitation.The natural frequencies and modal damping ratios of the cantilever beam were identified using HHT method in combination with measured data.The identification results for the natural frequencies were compared with theoretical natural frequencies and those provided by the power spectrum method.Finally,the identification results for the modal damping ratios were compared with those provided by the half-power bandwidth method,the ZOOM FFT method and the time history decaying method,separately.The results demonstrate that HHT method is effective,robust and promising to structural parameters identification.Some problems of HHT method,such as it can not identify full modes and maybe identify "false modes",are found.
引文
1李宏男,李东升.土木工程结构安全性评估、健康监测及诊断述评[J].地震工程与工程振动,2002,22(3):82~90.Li H N,Li D S.Safety assessment,health monitoring and damage diagnosis for structures in civil engineering[J].Earthquake Engineering and Engineering Vibration,2002,22(3):82~90.(in Chinese)
2李宏男,孙鸿敏.小波分析在土木工程领域中的应用[J].世界地震工程,2003,19(2):16~22.Li H N,Sun H M.Application of wavelet analytical method to civil engineering[J].World Earthquake Engineering,2003,19(2):16~22.(in Chinese)
3 Huang N E,Shen Z,Long S R,et a1.The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis[J].Proceedings of the Royal Society of London A:Mathematical Physical and EngineeringSciences,1998,454:903~995.
4 Yang J N,Lei Y.Identification of natural frequencies and damping ratios of linear structures via Hilbert transform andempirical mode decomposition[C]∥Proc.of International Conference on Intelligent Systems and Control,IASTED/Actapress,Anaheim,CA,1999:310~315.
5 Yang J N,Lei Y.Identification of tall building using noisy wind vibration data[C]∥Proc.of the International Conferenceon Advances in Structural Dynamics,Hong Kong,2000:1 093~1 100.
6陈隽,徐幼麟.HHT方法在结构模态参数识别中的应用[J].振动工程学报,2003,16(3):383~388.Chen J,Xu Y L.Application of HHT for modal parameter identification to civil structures[J].Journal of VibrationEngineering,2003,16(3):383~388.(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:自然科学版,2006,12(4):403~407.Duan X B,Zhang J G,Yan Y.Identification of modal parameters of multiple degree-of-freedom system based on Hilbert-Huang transform[J].Journal of Shanghai University:Natural Science,2006,12(4):403~407.(in Chinese)
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 T L,Lou M L.System identification of nonlinear structures based on HHT[J].Earthquake Engineering andEngineering Vibration,2006,26(3):80~83.(in Chinese)
9王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社&知识产权出版社,2006:38.
10孙晖,赵菁,朱善安.基于经验模态分解的冲击脉冲法研究[J].农业机械学报,2005,36(10):134~137.Sun Hui,Zhao Jing,Zhu Shan’an.Research on shock pulse method based on empirical mode decomposition[J].Transactions of the Chinese Society for Agricultural Machinery,2005,36(10):134~137.(in Chinese)
11王慧,刘正士.一种识别结构模态阻尼比的方法[J].农业机械学报,2008,39(6):201~202,169.
2李宏男,孙鸿敏.小波分析在土木工程领域中的应用[J].世界地震工程,2003,19(2):16~22.Li H N,Sun H M.Application of wavelet analytical method to civil engineering[J].World Earthquake Engineering,2003,19(2):16~22.(in Chinese)
3 Huang N E,Shen Z,Long S R,et a1.The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis[J].Proceedings of the Royal Society of London A:Mathematical Physical and EngineeringSciences,1998,454:903~995.
4 Yang J N,Lei Y.Identification of natural frequencies and damping ratios of linear structures via Hilbert transform andempirical mode decomposition[C]∥Proc.of International Conference on Intelligent Systems and Control,IASTED/Actapress,Anaheim,CA,1999:310~315.
5 Yang J N,Lei Y.Identification of tall building using noisy wind vibration data[C]∥Proc.of the International Conferenceon Advances in Structural Dynamics,Hong Kong,2000:1 093~1 100.
6陈隽,徐幼麟.HHT方法在结构模态参数识别中的应用[J].振动工程学报,2003,16(3):383~388.Chen J,Xu Y L.Application of HHT for modal parameter identification to civil structures[J].Journal of VibrationEngineering,2003,16(3):383~388.(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:自然科学版,2006,12(4):403~407.Duan X B,Zhang J G,Yan Y.Identification of modal parameters of multiple degree-of-freedom system based on Hilbert-Huang transform[J].Journal of Shanghai University:Natural Science,2006,12(4):403~407.(in Chinese)
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 T L,Lou M L.System identification of nonlinear structures based on HHT[J].Earthquake Engineering andEngineering Vibration,2006,26(3):80~83.(in Chinese)
9王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社&知识产权出版社,2006:38.
10孙晖,赵菁,朱善安.基于经验模态分解的冲击脉冲法研究[J].农业机械学报,2005,36(10):134~137.Sun Hui,Zhao Jing,Zhu Shan’an.Research on shock pulse method based on empirical mode decomposition[J].Transactions of the Chinese Society for Agricultural Machinery,2005,36(10):134~137.(in Chinese)
11王慧,刘正士.一种识别结构模态阻尼比的方法[J].农业机械学报,2008,39(6):201~202,169.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心