| 非平稳随机激励下结构模态识别的小波协整方法 |
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| 引用本文： | 杜秀丽,汪凤泉.非平稳随机激励下结构模态识别的小波协整方法[J].东南大学学报,2007,23(4):583-587. |
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| 作者姓名： | 杜秀丽 汪凤泉 |
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| 作者单位： | 东南大学土木工程学院，东南大学土木工程学院 南京210096，南京师范大学数学与计算机科学学院，南京210097，南京210096 |
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| 摘 要： | 提出一种环境激励下的模态识别方法.具体方法是通过对非平稳随机激励下的线性时不变系统的结构响应进行小波变换,对各级小波系数利用协整理论进行线性合成得到新的信号.若此信号是平稳的,则以它代替原始的结构响应,然后结合平稳随机激励下的模态识别方法--NExT方法和修正的连续最小二乘法,只通过输出信号就可以实现对非平稳随机激励下系统模态参数的识别.仿真结果表明,该方法可以极大程度上消除非平稳随机激励所引起的结构响应的非平稳性,而且具有很高的精度和稳健性.
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| 关 键 词： | 模态识别 小波变换 非平稳随机激励 协整理论 NExT方法 |
| 收稿时间： | 2007-03-21 |
| 修稿时间： | 2007年3月21日 |
Modal identification to non-stationary random excitation based on wavelet transform and co-integration theory |
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| Du Xiuli,Wang Fengquan.Modal identification to non-stationary random excitation based on wavelet transform and co-integration theory[J].Journal of Southeast University(English Edition),2007,23(4):583-587. |
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| Authors: | Du Xiuli Wang Fengquan |
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| Institution: | 1, School of Civil Engineering, Southeast University, Nanjing 210096, China;2, College of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China |
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| Abstract: | A kind of method of modal identification subject to ambient excitation is presented. A new synthesis stationary signal based on structural response wavelet transform and wavelet coefficient processes co-integration is obtained. The new signal instead of structural response is used in identifying the modal parameters of a non- stationary system, combined with the method of modal identification under stationary random excitation-the NExT method and the adjusted continuous least square method. The numerical results show that the method can eliminate the non-stationarity of structural response subject to non-stationary random excitation to a great extent, and is highly precise and robust. |
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| Keywords: | modal identification wavelet transform non-stationary random excitation co-integration NExT method |
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