Acta Aeronautica et Astronautica Sinica ›› 2023, Vol. 44 ›› Issue (19): 428469.doi: 10.7527/S1000-6893.2023.28469
• Material Engineering and Mechanical Manufacturing • Previous Articles
Xiaofu BA1,2, Hongqian XUE1(
), Xining LI1
Received:2023-01-03
Revised:2022-01-29
Accepted:2023-02-08
Online:2023-10-15
Published:2023-04-14
Contact:
Hongqian XUE
E-mail:xuedang@nwpu.edu.cn
CLC Number:
Xiaofu BA, Hongqian XUE, Xining LI. Modeling and test of positioning accuracy for positioner with 3-axis randomly position connected in series[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(19): 428469.
Table 2
QW measured coordinates of RCS
| 定位器 | 位置 | 飞机装配坐标系RCS | ||
|---|---|---|---|---|
| X/mm | Y/mm | Z/mm | ||
| PT1 | “0” | 31 916.61 | -10 886.38 | 977.19 |
| “1” | 32 006.48 | -10 842.98 | 974.40 | |
| “2” | 31 960.81 | -10 748.46 | 974.49 | |
| “3” | 31 960.96 | -10 748.20 | 1 874.47 | |
| PT2 | “0” | 35 024.80 | -17 309.65 | 963.73 |
| “1” | 35 119.16 | -17 263.93 | 963.79 | |
| “2” | 35 071.26 | -17 164.93 | 963.75 | |
| “3” | 35 071.32 | -17 164.74 | 1 863.77 | |
| PT3 | “0” | 30 525.20 | -20 324.13 | 966.42 |
| “1” | 30 602.75 | -20 269.87 | 966.50 | |
| “2” | 30 542.52 | -20 184.03 | 966.40 | |
| “3” | 30 542.38 | -20 184.03 | 1 866.39 | |
| PT4 | “0” | 26 046.03 | -13 944.14 | 965.95 |
| “1” | 26 115.55 | -13 895.44 | 965.99 | |
| “2” | 26 052.38 | -13 805.36 | 965.97 | |
| “3” | 26 052.08 | -13 805.58 | 1 865.95 | |
Table 6
Positioning error without compensation for four positioners
| 定位器 | 球窝中心点 | 飞机装配坐标系RCS | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| X实际值/mm | X理论值/mm | X偏差/mm | Y实际值/mm | Y理论值/mm | Y偏差/mm | Z实际值/mm | Z理论值/mm | Z偏差/mm | 总偏差/mm | ||
| PT1 | QW1 | 31 939.04 | 31 938.97 | 0.07 | -10 824.87 | -10 824.91 | 0.05 | 1 062.70 | 1 062.70 | 0 | 0.080 |
| PT2 | QW2 | 35 049.58 | 35 049.52 | 0.06 | -17 239.71 | -17 239.76 | 0.04 | 1 062.72 | 1 062.73 | 0 | 0.076 |
| PT3 | QW3 | 30 545.34 | 30 541.77 | 3.56 | -20 245.50 | -20 251.01 | 5.51 | 1 062.71 | 1 062.71 | 0 | 6.557 |
| PT4 | QW4 | 26 064.85 | 26 064.77 | 0.08 | -13 863.87 | -13 863.91 | 0.05 | 1 062.78 | 1 062.77 | 0 | 0.092 |
Table 7
Comparison of positioning error and measurement deviation without compensation for four positioners
| 定位器 | 球窝中心点 | lx /mm | lx ′/mm | X测量偏差/mm | ly /mm | ly ′/mm | Y测量偏差/mm | lz /mm | lz ′/mm | Z测量偏差/mm | 定位误差/mm |
|---|---|---|---|---|---|---|---|---|---|---|---|
| PT1 | QW1 | 100 | 99.83 | 0.17 | 105 | 104.97 | 0.03 | 900 | 899.98 | 0.02 | 0.076 |
| PT2 | QW2 | 105 | 104.85 | 0.15 | 110 | 109.97 | 0.03 | 900 | 900.02 | 0.02 | 0.080 |
| PT3 | QW3 | 95 | 94.65 | 0.35 | 105 | 104.87 | 0.13 | 900 | 900.00 | 0.00 | 6.557 |
| PT4 | QW4 | 85 | 84.87 | 0.13 | 110 | 110.02 | 0.02 | 900 | 899.98 | 0.02 | 0.090 |
Table 8
Modified coordinates of QW at different positions
| 定位器 | 位置 | 定位器坐标系PCS i | |||
|---|---|---|---|---|---|
| x/mm | y/mm | z/mm | 备注 | ||
| PT1 | “0” | 0 | 0 | 0 | 相对于PCS1 |
| “1” | 99.83 | 0 | 0 | ||
| “2” | 99.83 | 104.97 | 0 | ||
| “3” | 99.83 | 104.97 | 899.98 | ||
| PT2 | “0” | 0 | 0 | 0 | 相对于PCS2 |
| “1” | 104.85 | 0 | 0 | ||
| “2” | 104.85 | 109.97 | 0 | ||
| “3” | 104.85 | 109.97 | 900.02 | ||
| PT3 | “0” | 0 | 0 | 0 | 相对于PCS3 |
| “1” | 94.65 | 0 | 0 | ||
| “2” | 94.65 | 104.87 | 0 | ||
| “3” | 94.65 | 104.87 | 900.00 | ||
| PT4 | “0” | 0 | 0 | 0 | 相对于PCS4 |
| “1” | 84.87 | 0 | 0 | ||
| “2” | 84.87 | 110.02 | 0 | ||
| “3” | 84.87 | 110.02 | 899.98 | ||
Table 9
Positioning error coefficient
| 定位器 | 输入位移参数 | 实际位移参数 | 定位误差系数 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| lx /mm | ly /mm | lz /mm | lx ′/mm | ly ′/mm | lz ′/mm | ||||
| PT1 | 100 | 105 | 900 | 99.83 | 104.97 | 899.98 | -0.001 678 | -0.000 273 | -0.000 025 |
| PT2 | 105 | 110 | 900 | 104.85 | 109.97 | 900.02 | -0.001 421 | -0.000 238 | 0.000 027 |
| PT3 | 95 | 105 | 900 | 94.65 | 104.87 | 900.00 | -0.003 687 | -0.001 277 | -0.000 005 |
| PT4 | 85 | 110 | 900 | 84.87 | 110.02 | 899.98 | -0.001 481 | 0.000 153 | -0.000 021 |
Table 12
Positioning error based on compensation for four positioners
| 定位器 | 球窝中心点 | 飞机装配坐标系RCS | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| X实际值/mm | X理论值/mm | X偏差/mm | Y实际值/mm | Y理论值/mm | Y偏差/mm | Z实际值/mm | Z理论值/mm | Z偏差/mm | 总偏差/mm | ||
| PT1 | QW1 | 31 938.96 | 31 938.97 | -0.01 | -10 824.88 | -10 824.91 | 0.03 | 1 062.70 | 1 062.70 | 0 | 0.030 |
| PT2 | QW2 | 35 049.54 | 35 049.52 | 0.02 | -17 239.77 | -17 239.76 | -0.01 | 1 062.72 | 1 062.73 | 0 | 0.025 |
| PT3 | QW3 | 30 541.76 | 30 541.77 | -0.01 | -20 250.99 | -20 251.01 | 0.02 | 1 062.71 | 1 062.71 | 0 | 0.038 |
| PT4 | QW4 | 26 064.78 | 26 064.77 | 0.01 | -13 863.90 | -13 863.91 | 0.02 | 1 062.79 | 1 062.77 | 0.01 | 0.026 |
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