Author Affiliations
1College of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun 130022, China2National and Local Joint Engineering Research Center of Space and Optoelectronics Technology, Changchun University of Science and Technology, Changchun 130022, Chinashow less
Fig. 1. Schematic diagram of 2D PSD structure
Fig. 2. Schematic diagram of dual PSD 3D angle measurement
Fig. 3. PSD signal processing circuit diagram
Fig. 4. Schematic diagram of the relative positions of two PSD
Fig. 5. Two PSD calibration experiments
Fig. 6. Two PSD calibration point positions
Fig. 7. Extracted analog signal noise signal
Fig. 8. (a) Noise fitting curve; (b) Curve after filtering with a 34th order FIR filter
Fig. 9. Curve plot of input signal frequency at (a) 1.00 Hz, (b) 10.00 Hz, (c) 100.00 Hz and (d) 1.00 kHz
Fig. 10. Curve plot of input signal frequency at (a) 184 Hz and (b) 1.31 kHz
Fig. 11. Comparison diagram between collected data and filtered data
Fig. 12. Comparison diagrams of (a) yaw angle measurement values, (b) pitch angle measurement values, (c) roll angle measurement values before and after filtering
Fig. 13. Angle measurement experimental system
Specifications | Dual autocollimation instrument type | MCCR instrument type | Three PSD grating type | Angle measurement range | ±2' | ±10° | ±360" | Yaw angle measurement error | 2.2" | 394.16" | 0.013" | Pitch angle measurement error | 2.5" | 455.36" | 0.012" | Roll angle measurement error | 8.7" | 319.57" | 0.009" |
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Table 1. Performance indicators of each three-axis angle measurement methods
Performance | Typical value/μm | Performance | Typical value/μrad | X, Y accuracy | ±0.6 | $ {\theta } $X, $ {\theta } $Y accuracy | ±3 | Z accuracy | ±0.2 | $ {\theta } $Z accuracy | ±9 | X, Y resolution ratio | 0.3 | $ {\theta } $X, $ {\theta } $Y resolution ratio | 3 | Z resolution ratio | 0.2 | $ {\theta } $Z resolution ratio | 5 |
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Table 2. Performance indicators of six axis hexapod nano displacement table
| Yaw angle measurement error $ {\sigma _{{x}}} $/(°) | Pitch angle measurement error $ {\sigma _{{y}}} $/(°) | Roll angle measurement error $ {\sigma _{{z}}} $/(°) | No filtering: Yaw angle | 0.005 | 0.012 | 0.021 | No filtering: Pitch angle | 0.005 | 0.011 | 0.020 | No filtering:Roll angle | 0.007 | 0.015 | 0.026 | No filtering: Combined measurement | 0.013 | 0.020 | 0.039 | Filtering: Yaw angle | 0.003 | 0.007 | 0.013 | Filtering:Pitch angle | 0.002 | 0.007 | 0.015 | Filtering: Roll angle | 0.004 | 0.007 | 0.017 | Filtering: Combined measurement | 0.006 | 0.009 | 0.021 |
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Table 3. Angle measurement error
| Yaw angle translation influence ${\sigma }_{{x} }^{\prime}$/(°) | Pitch angle translation influence ${\sigma }_{{y} }^{\prime}$/(°) | Roll angle translation influence ${\sigma }_{{z} }^{\prime}$/(°) | Move forward 2 mm | 0.001 | 0.001 | 0.007 | Move back 2 mm | 0.004 | 0.001 | 0.003 | Move up 2 mm | 0.003 | 0.001 | 0.004 | Move down 2 mm | 0.002 | 0.001 | 0.005 | Move left 2 mm | 0.002 | 0.001 | 0.004 | Move right 2 mm | 0.001 | 0.002 | 0.005 |
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Table 4. Experimental results of the effect of translation on angle measurement