基于改进经验小波变换的海洋平台结构模态参数自动识别方法

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摘要针对经验小波变换(empirical wavelet transform，EWT)方法在处理低信噪比信号中频谱分割边界容易产生误判的问题，提出了一种改进经验小波变换(improved empirical wavelet transform，IEWT) 的结构模态参数自动识别方法。首先计算信号的互功率谱矩阵，采用奇异值分解(SVD)及尺度空间(SSPP)方法确定频谱的分割边界，将信号分解为若干固有模态函数(IMF)分量，再结合随机减量技术(RDT)和希尔伯特变换(HT)实现模态参数的自动识别。使用IEWT方法对自由振动响应信号及ASCE Benchmark模型信号进行模态参数识别，并分别与EWT方法、基于自回归功率谱的经验小波变换(AR-EWT)方法及小波变换(WT)方法进行对比，结果表明IEWT方法能够自适应确定频谱分割边界，对结构的频率及阻尼比等模态参数具有较高的识别精度；进一步将该方法应用到实验室海洋平台模型的模态参数识别中，证明该方法可用于复杂噪声环境下的低频结构的模态参数识别。

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	冷建成1
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	刁凯欣1
	庞哲1
	冯慧玉1

关键词 ：经验小波变换, 奇异值分解, 尺度空间, 模态参数自动识别, 海洋平台

Abstract：An improved empirical wavelet transform (IEWT) method for structural modal parameter automatic identification is proposed to address the issue of misjudgment of spectral segmentation boundaries in processing low signal-to-noise ratio signals using empirical wavelet transform (EWT). Firstly, the cross power spectrum matrix of the signal is calculated, the singular value decomposition method and the scale space method are used to determine the spectral division boundaries, and the signal is decomposed into several intrinsic mode function components. Then, the random decrement technology and Hilbert transform are combined to realize the automatic identification of modal parameters. The IEWT method was used to identify modal parameters of free vibration response signals and ASCE Benchmark model signals, and compared with the EWT method, AR-EWT and WT method, the result shows that the IEWT method can adaptively determine the spectral segmentation boundaries and has high identification accuracy for modal parameters such as frequency and damping ratio of the structure. Further, this method is applied to identify modal parameters of laboratory offshore platform. It has been proven that this method can be used for modal parameter identification of low-frequency structures in complex noise environments.

Key words： empirical wavelet transform singular value decomposition scale space automatic identification of modal parameters offshore platform

收稿日期: 2023-04-26 出版日期: 2024-04-15

引用本文:

冷建成1,2，刁凯欣1，庞哲1，冯慧玉1. 基于改进经验小波变换的海洋平台结构模态参数自动识别方法[J]. 振动与冲击, 2024, 43(7): 196-204.
LENG Jiancheng1, 2, DIAO Kaixin1, PANG Zhe1, FENG Huiyu1. Automatic identification method of modal parameters of offshore platform structure based on IEWT. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(7): 196-204.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I7/196

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