基于迁移学习的数控螺旋锥齿轮磨齿机主轴热误差建模
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1.合肥工业大学机械工程学院合肥230009; 2.中南林业科技大学机械与智能制造学院长沙410004

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TH161

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国家自然科学基金企业创新联合基金重点项目(U22B2084)资助


Thermal error modeling of the spindle of CNC spiral bevel gear grinding machine based on transfer learning
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1.School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China; 2.College of Mechanical and Intelligent Manufacturing, Central South University of Forestry and Technology, Changsha 410004, China

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    摘要:

    针对数控(CNC)螺旋锥齿轮磨齿机主轴在多工况下热误差建模精度不足、泛化能力较弱以及传统深度学习模型参数依赖经验调节的问题,提出一种结合鲸鱼优化算法(WOA)与迁移学习的长短期记忆网络(LSTM)主轴热误差建模方法。首先,搭建主轴热误差实验平台,在1 000、1 500和2 000 r/min这3种转速条件下同步采集10个温度测点数据与主轴轴向热误差数据,获得主轴从冷启动到热平衡阶段的完整热行为样本。其次,采用K-means聚类与灰色关联度分析相结合的方法对温度变量进行筛选,确定T1、T5和T8为热误差敏感测点,在降低输入冗余和多重共线性影响的同时保留主要热特征信息。进一步地,引入WOA对LSTM模型的时间步长、学习率、批大小等超参数进行全局优化,建立WOA-LSTM热误差预测模型,以提高模型收敛速度、训练稳定性和预测精度。在此基础上,构建基于模型微调的迁移学习策略,利用1 000和1 500 r/min工况数据完成源域预训练,再迁移至2 000 r/min目标工况进行小样本微调,实现跨工况知识复用与快速适应。实验结果表明:所提出的WOA-LSTM迁移学习模型在主轴热误差预测中的均方根误差(RMSE)和平均绝对误差(MAE)分别为1.364×10-3和1.361×10-3 mm,决定系数(R2)达到0.983 9,模型预测性能优于反向传播网络(BP)、WOA-BP及常规LSTM模型。该方法在复杂热环境下展现出较好的自适应能力和跨工况泛化能力,为机床热误差建模与补偿提供了一种可推广的新思路,具有工程应用价值。

    Abstract:

    To address the problems of insufficient modeling accuracy, weak generalization under multiple operating conditions, and the heavy reliance of traditional deep learning models on empirical parameter tuning in spindle thermal error prediction for computer namerical control (CNC) spiral bevel gear grinding machines, a spindle thermal error modeling method based on whale optimization algorithm (WOA), transfer learning, and a long short-term memory network (LSTM) network is proposed. First, a spindle thermal error experimental platform is established, and temperature data from 10 measuring points together with the axial thermal error of the spindle are synchronously collected under three rotational speeds of 1 000, 1 500, and 2 000 r/min, thereby obtaining complete thermal behavior samples from cold start to thermal equilibrium. Second, K-means clustering combined with grey relational analysis is employed to screen the temperature variables, and T1, T5, and T8 are identified as thermal error-sensitive measuring points, which preserves the main thermal feature information while reducing input redundancy and multicollinearity. Furthermore, WOA is introduced to globally optimize hyperparameters of the LSTM model, including the time step, learning rate, and batch size, and a WOA-LSTM thermal error prediction model is established to improve convergence speed, training stability, and prediction accuracy. On this basis, a model fine-tuning-based transfer learning strategy is constructed. The source-domain pre-training is completed using data under 1 000 and 1 500 r/min conditions, and the model is then transferred to the 2 000 r/min target condition for small-sample fine-tuning, thus enabling cross-condition knowledge reuse and rapid adaptation. Experimental results show that the proposed WOA-LSTM transfer learning model achieves an root mean square error (RMSE) of 1.364×10-3 mm, an mean absolute error (MAE) of 1.361×10-3 mm, and an R-square (R2) of 0.983 9 in spindle thermal error prediction, outperforming the back propagation network (BP), WOA-BP, and conventional LSTM models. The proposed method exhibits good adaptability and cross-condition generalization ability under complex thermal environments, and provides a new and practical approach for thermal error modeling and compensation of machine tools.

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薛芮,韩江,田晓青,夏链,王志永.基于迁移学习的数控螺旋锥齿轮磨齿机主轴热误差建模[J].仪器仪表学报,2026,47(4):66-77

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  • 在线发布日期: 2026-06-08
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