Optics and Precision Engineering, Volume. 30, Issue 12, 1462(2022)
General-purpose temperature sensitive point combination selection for thermal error of machine tool spindle
Figures & Tables(27)
Fig. 4. Partial temperature data and thermal deformation at 2 500 r/min
Fig. 5. Flow chart of comprehensive selection method for optimal temperature sensitive points
Fig. 6. Thermal error residual curve of
Fig. 7. Prediction performance evaluation results of various thermal errors of BP model
Fig. 8. Thermal error prediction residual of
Fig. 9. Thermal error prediction result of
Fig. 10. Prediction residual of thermal error of
Fig. 11. Prediction residual of part temperature sensitive point combination corresponding to thermal error of
Fig. 12. Thermal error predictive results of thermal error of
Fig. 13. Thermal error predictive results of thermal error of
Fig. 14. Thermal error predictive results of thermal error of
Table 1. Specific distribution of temperature sensors
View tableView in ArticleTable 1. Specific distribution of temperature sensors
位置 温度传感器标号 主轴 T1，T2，T3，T4，T5，T6 主轴箱 T7，T9，T10，T11，T12，T13，T20，T21，T22，T27 箱体两侧 T23，T28 箱体后侧 T15，T17，T24 工作台 T14，T16，T18，T19，T25，T26，T29 环境温度 T8
Table 2. Design of thermal error experimental conditions
View tableView in ArticleTable 2. Design of thermal error experimental conditions
实验编号 主轴转速/（r·min-1） 采集时间/min A组 2 000 430 B组 2 500 210 C组 3 000 210 D组 5 000 195
Table 3. Absolute average correlation coefficient of temperature and thermal error data at 2 500 r/min speed
View tableView in ArticleTable 3. Absolute average correlation coefficient of temperature and thermal error data at 2 500 r/min speed
温度 温度 温度 温度 温度 T1 0.648 9 T7 0.637 4 T13 0.638 1 T19 0.672 5 T25 0.656 4 T2 0.648 8 T8 0.642 8 T14 0.634 4 T20 0.644 3 T26 0.687 6 T3 0.648 7 T9 0.635 4 T15 0.674 6 T21 0.640 0 T27 0.643 0 T4 0.648 7 T10 0.643 0 T16 0.649 8 T22 0.648 8 T28 0.646 7 T5 0.648 7 T11 0.640 7 T17 0.647 0 T23 0.585 9 T29 0.645 6 T6 0.648 7 T12 0.642 1 T18 0.676 9 T24 0.644 9
Table 4. Clustering results of temperature variables corresponding to different
K valuesView tableView in ArticleTable 4. Clustering results of temperature variables corresponding to different
K valuesK 聚类结果 3 ｛T8，T14，T25｝，｛T15~T21，T23，T24，T26，T28， T29｝，｛T1~T7，T9~T13，T22， T27｝ 4 ｛T4｝，｛T8，T18，T25，T26，T29｝，｛T15~T17，T19~T21，T23，T24，T28｝，｛T1~T7，T9~T13，T22，T27｝ 5 ｛T15~T19，T24，T28｝，｛T8，T25，T26，T29｝，｛T7，T9，T11，T20，T21，T23｝，｛T1~T6，T10，T12，T13，T22，T27｝，｛T14｝ 6 ｛T26，T29｝，｛T8，T25｝，｛T7，T9，T11，T20，T21，T23｝，｛T1~T6，T10，T12，T13，T22，T27｝，｛T14｝，｛T15~T19，T24，T28｝ 7 ｛T26，T29｝，｛T8，T25｝，｛T15，T17｝，｛T1~T6，T10，T12，T13，T22，T27｝，｛T14｝，｛T16，T18，T19，T24，T28｝，｛T7，T9，T11，T20，T21，T23｝ 8 ｛T26，T29｝，｛T8，T25｝，｛T15，T17｝，｛T1~T7，T9~T13，T27｝，｛T14｝，｛T16，T18，T19，T24，T28｝，｛T20，T21，T23｝，｛T22｝ 9 ｛T26，T29｝，｛T8，T25｝，｛T15，T17｝，｛T1~T6，T10，T12，T13，T27｝，｛T14｝，｛T16，T18，T19，T24，T28｝，｛T21，T23｝，｛T22｝，｛T7，T9，T11，T20｝
Table 5. Combination of temperature sensitive points corresponding to different
K values at 2 500 r/min speedView tableView in ArticleTable 5. Combination of temperature sensitive points corresponding to different
K values at 2 500 r/min speedK 温度敏感点组合 3 T26，T25，T15 4 T26，T25，T15，T1 5 T26，T25，T15，T1，T14 6 T26，T25，T15，T1，T14，T18 7 T26，T25，T15，T1，T14，T18，T21 8 T26，T25，T15，T1，T14，T18，T21，T22 9 T26，T25，T15，T1，T14，T18，T21，T22，T20
Table 6. Absolute residual and absolute root mean square deviation calculation results
View tableView in ArticleTable 6. Absolute residual and absolute root mean square deviation calculation results
K AS AM 3 2.796 2.855 4 2.642 2.677 5 2.657 2.693 6 2.651 2.689 7 2.780 2.829 8 2.758 2.808 9 2.673 2.711
Table 7. Prediction performance evaluation results of thermal error of
X 1View tableView in ArticleTable 7. Prediction performance evaluation results of thermal error of
X 1K M S 3 0.161 0.129 4 0.088 0.075 5 0.149 0.122 6 0.116 0.094 7 0.136 0.112 8 0.227 0.162 9 0.121 0.099
Table 8. Evaluation results of different
K values of thermal error ofZ at 2 000 r/minView tableView in ArticleTable 8. Evaluation results of different
K values of thermal error ofZ at 2 000 r/minK M S 3 1.667 1.475 4 0.149 0.122 5 1.844 1.615 6 1.089 0.911 7 0.281 0.202 8 1.035 0.876 9 0.252 0.204
Table 9. Evaluation results of different
K values ofZ directions at 3 000 r/minView tableView in ArticleTable 9. Evaluation results of different
K values ofZ directions at 3 000 r/minK M S 3 0.254 0.231 4 0.129 0.107 5 0.217 0.200 6 0.205 0.188 7 0.155 0.139 8 0.268 0.247 9 0.173 0.157
Table 10. Evaluation results of different K values of thermal error of
Z at 5 000 r/minView tableView in ArticleTable 10. Evaluation results of different K values of thermal error of
Z at 5 000 r/minK值 M S 3 0.214 0.184 4 0.157 0.137 5 0.576 0.555 6 0.624 0.598 7 0.483 0.472 8 0.399 0.349 9 0.465 0.444
Table 11. Evaluation results of RBF model prediction performance corresponding to different
K values at 2 500 r/minView tableView in ArticleTable 11. Evaluation results of RBF model prediction performance corresponding to different
K values at 2 500 r/minK M S 3 1.824 1.625 4 0.357 0.323 5 0.450 0.352 6 0.519 0.391 7 0.518 0.412 8 0.779 0.689 9 0.817 0.704
Table 12. Evaluation results of SVM model prediction performance corresponding to different
K values at 2 500 r/minView tableView in ArticleTable 12. Evaluation results of SVM model prediction performance corresponding to different
K values at 2 500 r/minK M S 3 3.733 3.427 4 0.643 0.506 5 0.643 0.522 6 1.001 0.852 7 1.137 0.962 8 1.411 1.222 9 1.796 1.554
Table 13. Evaluation results of SVM model prediction performance corresponding to different
K values at 2 500 r/minView tableView in ArticleTable 13. Evaluation results of SVM model prediction performance corresponding to different
K values at 2 500 r/minK M S 3 3.818 3.521 4 0.157 0.123 5 0.238 0.197 6 0.230 0.188 7 0.243 0.201 8 0.373 0.300 9 0.528 0.439
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Linfeng ZHOU, Guoqiang FU, Zhengtang LI, Guoqiang LEI, Xiaolei DENG. General-purpose temperature sensitive point combination selection for thermal error of machine tool spindle[J]. Optics and Precision Engineering, 2022, 30(12): 1462
Paper Information
Category: Micro/Nano Technology and Fine Mechanics
Received: Nov. 29, 2021
Accepted: --
Published Online: Jul. 5, 2022
The Author Email: ZHOU Linfeng (zlx012614@163.com)
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