一种自适应的机械振动信号变分模态分析方法
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1.黄冈师范学院物理与电信学院 黄冈 438000;2.武汉科技大学信息科学与工程学院 武汉 430081

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TN911.7

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国家自然科学基金(51975433)、湖北省教育厅科学基金(B2022203)项目资助


An adaptive variational mode analysis method for mechanical vibration signals
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1.School of Physics and Telecommunications, Huanggang Normal University,Huanggang 438000,China; 2.School of Information Science and Engineering, Wuhan University of Science and Technology,Wuhan 430081,China

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    摘要:

    针对变分模态分解算法在处理多分量、非平稳机械振动信号时,性能受模态数量、二次惩罚参数及更新步长等关键因素严重影响的问题,提出了一种基于二叉树机制的自适应变分模态分解算法。以待分解信号的加权精细多尺度反向散布熵作为二次惩罚参数设定的依据,通过信号噪声程度调节算法更新步长,借助二分法机制持续将原始信号进行分解。不断优化二次惩罚参数与更新步长,将所得到分量之间的最小二乘互信息和重构误差构成作为分解完成评价指标,并对特征相似度较高的模态进行合并。算法综合考虑了模态提取性能所受内嵌参数的共同影响。通过仿真数据及实测机械振动信号验证,所提算法复杂度低,可有效缓解频带相近模态之间的混叠问题,完全自适应地提取振动信号特征模态。

    Abstract:

    To address the problem that the performance of the variational mode decomposition(VMD) algorithm for multi-component non-stationary mechanical vibration signals is severely affected by key factors such as the number of modes, the quadratic penalty parameter, and the update step size, a self-adaptive VMD algorithm based on a binary tree model is proposed. The quadratic penalty parameter is set based on the weighted fine-scale inverse scattering entropy of the decomposed signal, and the signal-to-noise ratio is used as a reference for the update step size. The original signal is continuously decomposed using the binary search mechanism. The optimal quadratic penalty parameter and update step size are continuously optimized, and the minimum least-squares mutual information and reconstruction error between the extracted components are used as the evaluation index for the decomposition completion. Modal merging is performed for modal features with high similarity. The algorithm comprehensively considers the common influence of embedded parameters on modal extraction performance. The proposed algorithm has low computational complexity and can completely adaptively extract the modal components of non-stationary signals, effectively alleviating the problem of overlapping bands between modalities with similar frequencies. The algorithm is validated by simulation data and real-measured mechanical vibration signals, and the experimental results show that the proposed algorithm has low computational complexity, can completely adaptively extract the modal components of non-stationary signals, and effectively alleviates the problem of overlapping bands between modalities with similar frequencies.

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黎会鹏,徐波,黄璞.一种自适应的机械振动信号变分模态分析方法[J].电子测量技术,2025,48(8):116-125

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  • 在线发布日期: 2025-05-23
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