基于统一框架的数控机床热误差建模方法
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TH161TG659

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重庆市基础研究与前沿探索项目(cstc2019jcyjmsxmX0540)、国家自然科学基金(51605064,51705058)资助


Thermal error modeling method of CNC machine tool based on unified framework
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    摘要:

    为了克服独立筛选关键温度点再进行热误差建模破坏其内在联系从而降低热误差模型预测性能的问题,提出了一种统一框架下同时筛选关键温度点和热误差建模的方法。采用最小二乘支持向量机作为基本热误差模型,将温度点的选择状态和模型超参数作为优化变量,采用二进制鲸鱼优化算法进行寻优,并综合考虑最大化预测精度和最小化关键温度点个数设计损失函数。以一台卧式加工中心为例,进行热误差实验,利用所提方法在10折交叉验证模式下筛选出了最优关键温度点,将其个数从20减少到了3,并同时获得了模型最优超参数。最后,与传统独立方式进行了对比分析,结果表明利用所提建模方法热误差预测精度最高提高约628%,验证了其有效性和优越性,为后续热误差补偿实施提供了参考。

    Abstract:

    In order to overcome the difficulties that independent selecting key temperature points and performing thermal error modeling destroy their intrinsic relation and reduce the thermal error mode prediction performance, a method of concurrently selecting key temperature points and thermal error modeling under unified framework is proposed. The least squares support vector machine (LSSVM) is used as the basic thermal error model. The selection status of temperature points and the hyperparameters of the thermal error model are regarded as the optimization variables. Furthermore, the binary whale optimization algorithm (BWOA) is used to carry out the optimization. And the cost function is designed by comprehensively considering maximizing the prediction accuracy and minimizing the number of key temperature points. Taking a horizontal machining center as the example, the thermal error experiment was conducted. Using the proposed method, the optimal key temperature points were selected in 10fold crossvalidation mode, the number of key temperature points was reduced from 20 to 3, and the model optimal hyperparameters were simultaneously obtained. Finally, the proposed method was compared and analyzed with the traditional independent method. The comparison results indicate that the thermal error prediction accuracy is improved by 628% at most using the proposed modeling method, which verifies its effectiveness and superiority, and the proposed method also provides a reference for subsequent thermal error compensation implementation.

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谭峰,萧红,张毅,邓聪颖,殷国富.基于统一框架的数控机床热误差建模方法[J].仪器仪表学报,2019,40(10):95-103

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  • 在线发布日期: 2022-03-09
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