[1]夏遵平,王彤,张永年.基于Hilbert谱变换函数的运行模态分析方法[J].地震工程与工程振动,2014,34(06):097-102.[doi:10.13197/j.eeev.2014.06.97.xiazp.013]
 XIA Zunping,WANG Tong,ZHANG Yongnian.Operational modal analysis based on Hilbert transformation[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2014,34(06):097-102.[doi:10.13197/j.eeev.2014.06.97.xiazp.013]
点击复制

基于Hilbert谱变换函数的运行模态分析方法
分享到:

《地震工程与工程振动》[ISSN:/CN:]

卷:
34
期数:
2014年06期
页码:
097-102
栏目:
出版日期:
2014-12-28

文章信息/Info

Title:
Operational modal analysis based on Hilbert transformation
作者:
夏遵平 王彤 张永年
南京航空航天大学 机械结构力学及控制国家重点实验室, 江苏 南京 210016
Author(s):
XIA Zunping WANG Tong ZHANG Yongnian
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
关键词:
运行模态分析参数识别Hilbert变换半功率谱
Keywords:
operational modal analysisparameter identificationHilbert transformhalf power spectrum
分类号:
O327;TN911.6
DOI:
10.13197/j.eeev.2014.06.97.xiazp.013
摘要:
运行状态模态分析可在自然激励条件下识别结构真实的动力学特性.基于半功率谱估计进行模态参数识别是其中一类重要方法,但实际应用在效率、稳定性等方面存在不足.本文利用因果信号的Hilbert变换理论,推导了H谱变换函数的估计方法,并结合多参考点最小二乘复频域法实现运行状态模态参数识别.采用含有近频模态的7自由度仿真算例和悬臂梁实测算例对该算法进行了可靠性验证,并与传统的半功率谱函数法进行了比较.结果表明,H谱变换函数具有计算速度快、极点更稳定等优点,更适用于实际工程应用.
Abstract:
The dynamic characteristics of structure can be identified by Operational Modal Analysis (OMA) under natural excitation conditions. The Positive Power Spectral Density (PPSD) method is one of the most important methods for modal parameter identification but lack of security and efficiency in a practical application. This paper presents a new function describing the dynamic behavior, which can be obtained by applying Hilbert transformation to the power spectrum function of the output response. The principle of modal parameters identification based on the poly-reference least square complex frequency domain method(PolyMAX) is also introduced. The presented method is validated by a simulation example of 7 degrees of freedom. Compared with the method based on the half power spectral density function, the new method has clearer frequency stability chart. Finally, the method is successfully applied to a practical modal test of a cantilever beam.

参考文献/References:

[1] Zhang L M, Rune B, Palle A. An overview of operational modal analysis: major development and issues[C]// B&K Technical Paper, 2002.
[2] Wang T, Zhang LM, Tamura Y. An operational modal analysis method in frequency and spatial domain[J]. Earthquake Engineering and Engineering Vibration, 2005, 4(2): 295-300.
[3] 夏遵平, 王 彤. 基于谱峭度的谐波模态检测方法[J]. 工程力学, 2013, 30(12): 255-258. XIA Zunping, WANG Tong. Detection of harmonic modes with spectral kurtosis[J]. Engineering Mechanics, 2013, 30(12): 255-258.(in Chinese)
[4] Ibrahim S R. Random decrement technique for modal identification of structures[J]. AIAA Journal of Spacecraft and Rockets, 1977, 14(11):696-700.
[5] James G H. Extraction of modal parameter from an operating HAWT using the natural excitation technique (NExT)[C]// The 13th ASME Wind Energy Symposium 1994.
[6] Bonnecase D, Provosto M. Application of a multidimensional ARMA model to modal analysis under natural excitation[C]// Society for Experimental Mechanics, 1990, 382-388.
[7] Overschee P V,Moor B D. Identification for linear systems: theory, implementation, application[M]. Kluwer Academic Publishers, 1996.
[8] Brincker R,Zhang L M,et al. Modal identification from ambient response using frequency domain decomposition[C]// Proceeding of the 18th IMAC,2000.
[9] 王 彤, 张令弥. 运行模态分析的频域空间域分解法及其应用[J].航空学报, 2006, 27(1): 62-66. WANG Tong, ZHANG Lingmi. Frequency and spatial domain decomposition for operational modal analysis and its application[J]. Acta Aeronautica et Astronautica Sinica, 2006, 27(1): 62-66.(in Chinese)
[10] Guillaume P,Hermans L,Van Der Auweraer H. Maximum likelihood identification of modal parameters from operational data[C]// Proc of the 17th International Modal Analysis Conference. Kissimmee,USA, February 1999:1887-1889.
[11] Bart P,Van Der Auweraer H, et al. The PolyMAX frequency-domain method: a new standard for modal parameter estimation[J]. Shock and Vibration, 2004, 11: 395-409.
[12] Agneni A, Crema L B, et al. Output-only analysis of structures with closely spaced poles[J]. Mechanical Systems and Signal Processing,2010, 24:1240-1249.

相似文献/References:

[1]易伟建,周云.基于高阶局部模态的弹性地基上框架结构物理参数识别研究[J].地震工程与工程振动,2007,27(01):117.
 Yi Weijian,Zhou Yun.Research on physical parameter identification of concrete frame structure on elastic foundation based on higher modes[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2007,27(06):117.
[2]瞿伟廉,刘嘉,涂建维,等.500kN足尺磁流变液阻尼器设计的关键技术[J].地震工程与工程振动,2007,27(02):124.
 QU Weilian,LIU Jia,TU Jianwei,et al.Crucial techniques for design of 500 kN large-scale MR damper[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2007,27(06):124.
[3]常军,孙利民,张启伟.随机子空间识别方法计算效率的改进[J].地震工程与工程振动,2007,27(03):088.
 CHANG Jun,SUN Limin,ZHANG Qiwei.Improvement in stochastic subspace identification[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2007,27(06):088.
[4]王祥建,崔杰.一种迭代算法在结构物理参数识别中的应用[J].地震工程与工程振动,2008,28(01):044.
 WANG Xiangjian,CUI Jie.An iterative algorithm applied to structural physical parameter identification[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2008,28(06):044.
[5]常军,孙利民,张启伟.基于两阶段稳定图的随机子空间识别结构模态参数[J].地震工程与工程振动,2008,28(03):047.
 CHANG Jun,SUN Limin,ZHANG Qiwei.Study on the method for stochastic subspace identifying structural modal parameters based on two-stage stabilization diagram[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2008,28(06):047.
[6]禹见达,陈政清,王修勇,等.基于遗传算法的磁流变阻尼器模型参数识别[J].地震工程与工程振动,2009,29(01):135.
 YU Jianda,CHEN Zhengqing,WANG Xiuyong,et al.Parameter identification of magnetorheological dampers based on genetic algorithm[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2009,29(06):135.
[7]陈关宝,于德介.基于多尺度线调频基稀疏信号分解的线性时变SDOF系统参数识别[J].地震工程与工程振动,2013,33(04):100.
 CHEN Guanbao,YU Dejie.The parameter identification of linear time-varying SDOF systems based on multi-scale chirplet sparse signal decomposition[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2013,33(06):100.
[8]徐丽,易伟建,吴高烈.混凝土框架模型结构参数的识别[J].地震工程与工程振动,2006,26(04):121.
 Xu Li,Yi Weijian,Wu Gaolie.Parameter identification of a model concrete frame structure[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2006,26(06):121.
[9]常军,张启伟,孙利民.随机子空间方法在桥塔模态参数识别中的应用[J].地震工程与工程振动,2006,26(05):183.
 Chang Jun,Zhang Qiwei,Sun Limin.Application of stochastic subspace identification in modal parameter identification of bridge tower[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2006,26(06):183.
[10]张肖雄,贺佳,许斌.基于卡尔曼滤波和递推最小二乘在部分观测信息下的参数识别法[J].地震工程与工程振动,2019,39(02):134.[doi:10.13197/j.eeev.2019.02.134.zhangxx.014]
 ZHANG Xiaoxiong,HE Jia,XU Bin.Structural parameter identification basing on Kalman filter and recursive least square estimation with limited observations[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2019,39(06):134.[doi:10.13197/j.eeev.2019.02.134.zhangxx.014]

备注/Memo

备注/Memo:
收稿日期:2013-11-2;改回日期:2014-9-15。
基金项目:中央高校基本科研业务费(NS2013004);江苏高校优势学科建设工程资助项目
作者简介:夏遵平(1985-), 男, 博士研究生, 主要从事结构模态参数识别研究.E-mail:xiazunp@126.com
更新日期/Last Update: 1900-01-01