[1]孙鹏,丁幼亮,张劲泉,等.基于Morlet小波变换的结构密集模态参数识别[J].东南大学学报(自然科学版),2012,42(2):339-345.[doi:10.3969/j.issn.1001-0505.2012.02.028]
 Sun Peng,Ding Youliang,Zhang Jinquan,et al.Modal identification of closely spaced modes based on Morlet wavelet transform[J].Journal of Southeast University (Natural Science Edition),2012,42(2):339-345.[doi:10.3969/j.issn.1001-0505.2012.02.028]
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基于Morlet小波变换的结构密集模态参数识别()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
42
期数:
2012年第2期
页码:
339-345
栏目:
土木工程
出版日期:
2012-03-20

文章信息/Info

Title:
Modal identification of closely spaced modes based on Morlet wavelet transform
作者:
孙鹏1 丁幼亮1 张劲泉2 李爱群1 邓扬1
1 东南大学混凝土及预应力混凝土结构教育部重点实验室,南京 210096; 2 交通运输部公路科学研究院,北京 100088
Author(s):
Sun Peng1 Ding Youliang1 Zhang Jinquan2 Li Aiqun1 Deng Yang1
1 Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education,Southeast University, Nanjing 210096, China
2 Research Institute of Highway, Ministry of Transport, Beijing 100088, China
关键词:
Morlet小波 参数识别 密集模态 模态混叠 方法改进
Keywords:
Morlet wavelet modal identification closely spaced modes modal overlap method improvement
分类号:
TU311.4;TN911.6
DOI:
10.3969/j.issn.1001-0505.2012.02.028
摘要:
为了解决结构密集模态识别精度不高的问题,提出了基于Morlet小波变换进行结构模态参数识别的一套方法流程.首先,从公式推导的角度对结构模态混叠的机理进行研究分析,明确和量化了密集模态的定义,提出了结构模态密集度指标——相邻模态的频率比,以此判定应用Morlet小波变换进行模态识别的有效性.其次,针对边端效应和噪声污染的不利影响,改进了小波变换识别结构模态参数的方法,并提出了最优小波中心频率的选取方法.理论研究结果表明,当相邻模态的频率比值一定时,随着阻尼比以及相邻模态阻尼比差值的增加,模态混叠的严重程度也增加.数值仿真算例结果表明,这种改进的模态识别方法可有效地识别结构的模态参数,且能够获得较高的参数识别精度.
Abstract:
In order to improve the precision of the modal parameter identification of closely spaced modes, an identification method and procedure based on Morlet wavelet transform is proposed. Firstly, the mechanism of modal overlap is studied through formula derivation. The concept of closely spaced modes is defined and quantified with an index,the frequency ratio of two adjacent modes, to assess the validity of modal identification by Morlet wavelet transform. Secondly, in order to limit the edge effect and noise pollution, the modal identification method using continuous wavelet transform is modified, and then an interactive algorithm for the center frequency of the mother wavelet is proposed. The theoretical results show that at the fixed frequency ratio of two adjacent modes, the severity of modal overlap is greater with the increase of the damping ratios and the difference between the damping ratios of the adjacent modes. The results of the numerical simulation example show that the modified modal identification method can effectively identify modal parameters of structures and the identification precision is high.

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备注/Memo

备注/Memo:
作者简介: 孙鹏(1987—),男,硕士生; 丁幼亮(联系人),男,博士,副研究员,博士生导师,civilding@163.com.
基金项目: 国家自然科学基金资助项目(51178100)、交通运输部“十二五”重大科技专项资助项目(2011318223190)、江苏省自然科学基金资助项目(BK2011141)、江苏省高校“青蓝工程”优秀青年骨干教师资助项目、东南大学重大科学研究引导基金资助项目.
引文格式: 孙鹏,丁幼亮,张劲泉,等.基于Morlet小波变换的结构密集模态参数识别[J].东南大学学报:自然科学版,2012,42(2):339-345. [doi:10.3969/j.issn.1001-0505.2012.02.028]
更新日期/Last Update: 2012-03-20