基于变分模态分解的模态参数识别研究

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摘要基于变分模态分解(VMD)，提出一种新的结构模态参数识别方法：①通过自由振动试验或通过随机减量法从结构随机振动响应中获取结构自由衰减振动响应(FDR)，并采用VMD方法从 FDR中分解出结构模态响应；②通过经验包络法(EE)计算模态响应瞬时频率，并通过一种该研究新提出的方法计算模态响应瞬时阻尼比；③结构的模态振型向量可通过处理所有可用传感器得到的模态响应得到。瞬时模态频率和模态阻尼比可以捕获模态参数的任何瞬态变化。通过一系列数值和试验算例验证了该方法的有效性，突出了该方法的优势，并对该方法抗噪声性能进行了研究。研究表明，该方法适用于线性和非线性系统，且可用于识别具有密集模态和瞬态特性的系统。

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	赵亚军1
	2
	窦远明1
	张明杰3

关键词 ：模态参数识别, 变分模态分解(VMD), 非线性系统, 密集模态

Abstract：An out-put only modal parameter identification technique based on variational mode decomposition (VMD) was developed for civil structures.The free decay response (FDR, which can be recorded in free vibration tests or reconstructed from ambient vibration responses) of a structure was decomposed into modal responses using VMD.The instantaneous modal frequencies were calculated from the modal responses with the empirical envelope (EE) method, while the instantaneous modal damping ratios were calculated using a newly developed procedure.Mode shape vectors were indentified using the modal responses extracted from the FDRs by processing all the available sensors data on the structure.The calculated instantaneous modal frequencies and instantaneous modal damping ratios can capture any transient modal parameter variations.A series of numerical and experimental case studies were conducted to demonstrate the efficiency and highlight the superiority of the proposed method in modal parameter identification using free vibration or ambient vibration data.The proposed method was proved to be efficient in modal parameter identification for both linear and nonlinear systems, and can be applied to systems with closely spaced modes and sudden modal parameter variations.

Key words： modal parameter identification variational mode decomposition(VMD) nonlinear system closely spaced modes

收稿日期: 2018-08-14 出版日期: 2020-01-15

引用本文:

赵亚军1,2，窦远明1，张明杰3. 基于变分模态分解的模态参数识别研究[J]. 振动与冲击, 2020, 39(2): 115-122.
ZHAO Yajun1,2，DOU Yuanming1，ZHANG Mingjie3. Modal parameter identification based on variational mode decomposition. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(2): 115-122.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I2/115

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