Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 458-467.doi: 10.13229/j.cnki.jdxbgxb20200031

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Rapid measurement and identification of position dependent geometric errors of CNC machine tool turntable

Guo-long LI(),Xiao-hui TAO,Kai XU,Zhe-yu LI   

  1. State Key Laboratory of Mechanical Transmission，Chongqing University，Chongqing 400044，China
  • Received:2020-01-11 Online:2021-03-01 Published:2021-02-09

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Abstract:

In order to quickly and systematically identify the position dependent geometric error terms of CNC machine tool turntable， a rapid measurement and identification method of the geometric error of the turntable based on a double ballbar is proposed. Firstly， based on the homogeneous coordinate transformation theory， the position dependent geometric error model of the machine tool turntable is established， and the relationship between the change in ballbar length and the geometric error during the movement of the ballbar is obtained. Then， a six-time tapered installation method of the ballbar is designed， the error identification matrix expression is direved， the change in the length of the ballbar during the movement of the ballbar is record， and the position dependent geometric error terms of the turntable can be quickly identified. Then， a method for eliminating the installation error of the double ballbar is proposed， which can effectively eliminate the influence of the installation error in the raw data of the ballbar measurement. Finally， based on the identification results of the position dependent geometric errors of the turntable， the change in the length of the ballbar in the additional experiment is predicted， and compared with the experimental results， the prediction accuracy is high. On this basis， the position dependent geometric error of the turntable is compensated. It is show that after compensation， the accuracy is significantly improved compared with that before compensation. The experimental results show that the method can accurately and quickly identify the position dependent geometric error terms of the turntable， which has important significance for improving the accuracy of the machine tool.

Key words: mechanical manufacturing and automation, CNC machine tool turntable, position dependent geometric errors, the double ballbar, installation error

CLC Number: 

  • TH161

Fig.1

PDGES of C-axis"

Fig.2

Double ballbar test device"

Fig.3

Double ballbar test mode"

Fig.4

Double ballbar setup error"

Table 1

Radius calculation results and simulation results"

测量模式拟合圆半径
计算值/mm仿真值/mm差值/mm
1100.0480100.04530.0027
2150.0498150.04310.0067
3100.0520100.04580.0062
4150.0525150.04380.0087
5100.0480100.04530.0027
6100.0514100.0593-0.0079

Table 2

Center x coordinate calculation results and simulation results"

测量模式拟合圆圆心x坐标
计算值/mm仿真值/mm差值/mm
1-0.0400-0.0333-0.0067
2-0.0267-0.0184-0.0083
3-0.0480-0.05030.0023
4-0.0320-0.03670.0047
5-0.0400-0.0336-0.0064
6-0.0295-0.03600.0065

Table 3

Center y coordinate calculation results and simulation results"

测量模式拟合圆圆心y坐标
计算值/mm仿真值/mm差值/mm
1-0.0480-0.05500.0070
2-0.0320-0.04370.0117
30.04000.02890.0111
40.02670.01230.0144
5-0.0400-0.04890.0089
6-0.0386-0.0300-0.0086

Table 4

Double ballbar setup position"

测量刀具球P1工件球P2
1（0,0,60）（80,0,0）
2（0,0,126.886）（80,0,0）
3（0,0,60）（0,80,0）
4（0,0,126.886）（0,80,0）
5（0,0,60）（-80,0,0）
6（-60,80,80）（0,80,0）

Fig.5

Double ballbar test picture"

Fig.6

Double ballbar test result"

Fig.7

Linear error identification results"

Fig.8

Angle error identification result"

Fig.9

Double ballbar forecast and test results"

Fig.10

Results of double ballbar test before and after compensation"

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