融合CPO-VMD信号降噪与双特征能量平均的表面缺陷定位方法
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安徽建筑大学数理学院

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O426.9

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国家自然科学基金面上项目(61471003),安徽高校学科(专业)拔尖人才学术资助项目(gxbjZD2021066),安徽省教育厅自然科学基金项目(KJ2020A0484),安徽高校自然科学基金项目(2023AH050196)


A surface defect localization method integrating CPO-VMD signal denoising and dual-feature energy averaging
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1.Anhui Jianzhu University School of Mathematics &2.Physics

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    摘要:

    在激光超声表面缺陷无损检测领域,针对兰姆(Lamb)波信号易受噪声干扰而导致缺陷定位精度显著下降的问题,本文提出一种融合CPO优化变分模态分解(VMD)降噪与信号能量双特征平均的表面缺陷定位方法。该方法首先引入冠豪猪优化算法(Crested Porcupine Optimizer, CPO),对VMD的模态数与惩罚因子进行自适应优化,实现复杂Lamb波信号的最优模态分解;随后结合排列熵(Permutation Entropy, PE)准则对分解所得本征模态函数(IMF)进行评估,有效区分噪声主导成分与有效信号成分,完成信号重构与噪声抑制。进一步地,提出一种以信号能量为评价指标的双特征平均定位策略,提升缺陷位置识别的准确性与稳定性。仿真结果表明,在低信噪比及多测点条件下,所提出的CPO-VMD方法能够更有效地保留Lamb波关键时域特征,其降噪性能优于传统经验模态分解(EMD)、标准VMD及互补集合经验模态分解(CEEMDAN)等方法。通过对三组不同扫描距离与裂纹位置的激光超声实验数据进行验证,分别采用EMD、CEEMDAN、VMD和CPO-VMD进行降噪处理,并结合双特征平均法实现缺陷定位。实验结果显示,基于CPO-VMD降噪与双特征能量平均的定位相对误差均最小,分别为1.62%、1.59%和2.35%,显著优于其他对比方法。本研究提出的方法在激光超声表面缺陷无损检测中展现出良好的应用潜力。

    Abstract:

    In the field of laser ultrasonic non-destructive testing for surface defects, this paper addresses the significant challenge posed by the high sensitivity of Lamb wave signals to noise interference, which severely compromises defect localization accuracy. To overcome this limitation, a novel surface defect localization method is proposed, integrating CPO-optimized variational mode decomposition (VMD) denoising with a dual-feature energy averaging strategy. The approach begins by employing the Crested Porcupine Optimizer (CPO) to adaptively optimize the mode number and penalty factor in VMD, thereby enabling optimal modal decomposition of complex Lamb wave signals. Subsequently, the Permutation Entropy (PE) criterion is utilized to assess the decomposed intrinsic mode functions (IMF), facilitating effective discrimination between noise-dominated and signal-dominant components, followed by signal reconstruction and noise suppression. In addition, a dual-feature averaging strategy using signal energy as the evaluation metric is introduced to improve both the accuracy and robustness of defect localization. Simulation results demonstrate that, under low signal-to-noise ratio (SNR) conditions and across multiple measurement points, the proposed CPO-VMD method outperforms conventional approaches including empirical mode decomposition (EMD), standard VMD, and complementary ensemble empirical mode decomposition (CEEMDAN) in preserving key time-domain characteristics of Lamb waves. Experimental validation is performed using laser ultrasonic data collected from three test cases with varying scanning distances and crack positions. Denoising is conducted using CEEMDAN, EMD, VMD, and CPO-VMD, respectively, after which defect localization is implemented using the dual-feature averaging method. The results show that the CPO-VMD-based framework achieves the lowest relative localization errors of 1.62%, 1.59%, and 2.35%, confirming its superior performance over comparative methods. The methodology presented in this study demonstrates considerable potential for practical deployment in laser ultrasonic non-destructive testing of surface defects.

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  • 收稿日期:2026-01-18
  • 最后修改日期:2026-04-21
  • 录用日期:2026-04-24
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