数控机床运动误差的混沌吸引子表征与迁移学习溯因
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重庆理工大学机械工程学院重庆400054

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TH115

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国家自然科学基金(52375083)项目、重庆市教育委员会科学技术研究重大项目(KJZD-M202501102)资助


Chaotic attractor characterization and transfer learning traceability for motion error in CNC machine tools
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College of Mechanical Engineering, Chongqing University of Technology,Chongqing 400054, China

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    摘要:

    数控机床运动误差信号呈现强非线性、非平稳特性,且标记数据稀缺。传统研究难以有效分离和准确识别误差源,为此提出一种基于混沌吸引子与迁移学习的数控机床运动误差溯因模型。首先,基于相空间重构将数控机床圆运动误差的一维时序信号映射至混沌相空间,恢复运动误差的混沌吸引子相图,提取表征不同误差源内在动力学机制的混沌吸引子结构特征,利用其与潜在误差源的强关联性为误差源辨识提供基础。然后,针对不同运动误差混沌吸引子相互重叠、尺度特征相差大导致溯因精度不高的问题,提出基于改进Faster R-CNN的误差源深度学习溯因模型,引入ResNet50和特征金字塔网络,提升对混沌吸引子的识别能力。最后,为了解决数控机床标记样本稀缺的难题,引入迁移学习,基于模型迁移策略,在COCO2017源域上充分训练模型,冻结浅层网络结构,将知识有效迁移至运动误差混沌吸引子相图分类数据目标域,显著提升模型在数据匮乏下的溯因能力。设置交并比为0.5时,所提模型对4类典型运动误差:伺服不匹配、反向越冲、反向间隙和周期误差的平均精度值分别达到98.80%、99.64%、97.58%和99.97%。实验分析表明:数控机床的运动误差能被混沌吸引子有效表征;本模型在各种误差因素条件下均表现出良好的误差源辨识精度,并具有很强的鲁棒性。

    Abstract:

    Motion error signals of CNC machine tools exhibit strong nonlinear and nonstationary characteristics, with scarce labeled data. Conventional methods struggle to effectively separate and accurately identify error sources. To address this limitation, a motion error traceability model for CNC machine tools is proposed based on chaotic attractors and transfer learning. First, one-dimensional time-series signals of circular motion errors are mapped into a reconstructed phase space to obtain chaotic attractor phase portraits. Structural features of chaotic attractors, which characterize the intrinsic dynamics of different error sources, are extracted to establish strong correlations with potential error mechanisms. These features form the basis for error source identification. Then, to address the issue of low traceability accuracy caused by overlapping chaotic attractors and significant scale variations among motion errors, a deep learning identification model based on an improved Faster R-CNN is constructed. ResNet50 and a feature pyramid network are integrated to enhance the recognition capability of chaotic attractors. Finally, to overcome the scarcity of labeled samples in CNC machine tools, transfer learning is introduced. Pre-training on the COCO2017 source domain and freezing of the shallow layers enabled effective knowledge transfer to the target domain of attractor phase portraits for motion error classification. This strategy significantly improves traceability performance under limited data conditions. At an intersection over union (IoU) threshold of 0.5, the proposed model achieves average precisions of 98.80%, 99.64%, 97.58%, and 99.97% for four typical motion error types: servo mismatch, reverse spikes, backlash, and cyclic error. Experimental analysis shows that motion errors of CNC machine tools can be effectively represented by chaotic attractors. The proposed model achieves high error-source identification accuracy under various error conditions and demonstrates strong robustness.The model exhibits high error source identification accuracy under various error conditions with strong robustness.

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杜柳青,崔楷华,余永维,徐凯.数控机床运动误差的混沌吸引子表征与迁移学习溯因[J].仪器仪表学报,2025,46(12):411-422

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  • 在线发布日期: 2026-03-02
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