Author Affiliations
1Key Laboratory of Optical Engineering, Chinese Academy of Sciences, Chengdu 610509, China2Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610509, China3University of Chinese Academy of Sciences, Beijing 100049, Chinashow less
Fig. 1. Structure form of two-dimensional turntable
Fig. 2. Overall structure of spaceborne two-dimensional turntable
Fig. 3. Schematic diagram of part components of the optical machine structure
Fig. 4. Two kinds of lightweight tip-tilt mirror assembly models
Fig. 5. Schematic of design variables of two back lightweight form tip-tilt mirrors
Fig. 6. U-shaped frame lightweight structure
Fig. 7. Stress response nephogram of the U-shape structure
Fig. 8. Shafting structure design section
Fig. 9. Schematic diagram of the bearing equivalent model
Fig. 10. Simplified local finite element model of angular contact ball bearing
Fig. 11. Finite element model of two-dimensional turntable
Fig. 12. Mode diagram of two-dimensional turntable
Fig. 13. Mechanics test of two-dimensional turntable
Fig. 14. Sweep frequency curve of the direction ofX
Parameter | Index | Clear aperture/mm | 183×220 | Total weight/kg | <12 | Resonant frequency/Hz | >120 | Surface precision | ${\rm{{RMS }{_{G{{rav}}} } } } \leqslant \lambda /30$${{\rm{{RMS} }{_{Temp}}} } \leqslant \lambda /40$ | Horizontal tracking range/(°) | $0-300$ | Vertical tracking range/(°) | 45±5 | Operating temperature/℃ | 20±5 |
|
Table 1. Design requirements of two-dimensional turntable
Material | Density/g·cm−3 | Young`s modulus/GPa | Poisson`s ratio | SiC | 3.21 | 446 | 0.21 | Invar | 7.98 | 141 | 0.3 | TC4 | 4.45 | 117 | 0.33 |
|
Table 2. Structural material properties of hole tip-tilt mirror assembly
Variables | Domain | Result-Ⅰ | Result-Ⅱ | Ft | [2,5] | 2.1 | 2.0 | Ht | [3,7] | 5.5 | 6.9 | St | [2,6] | 3.2 | 2.3 | Rt1 | [2,6] | 5.9 | 5.4 | Rt2 | [2,6] | 2.6 | 3.8 | R
t3 | [2,6] | 4.0 | 2.1 | R
t4 | [2,6] | 3.4 | 2.2 | Rt5 | [2,6] | 3.4 | - | Rt6 | [2,6] | 3.2 | - | h1 | [−7,−3] | −2.1 | −5 | h2 | [−15,−8] | −8.1 | - | h3 | [−20,−10] | −18.3 | −10.4 | h4 | [−28,−20] | −26.7 | −26.4 | Freq1 | - | 355 | 408 | RMSX | - | 1.793 | 0.175 | RMSY | - | 10.62 | 6.603 | RMST5 | - | 0.33 | 1.2 | Mass | - | 0.95 | 1.2 |
|
Table 3. Design variables and optimal results
Material | Mass/kg | Modal | 1st | 2nd | 3rd | LY12 | 1.598 | 446 | 696 | 806 | AZ41M | 1.010 | 430 | 675 | 795 | TC4 | 2.628 | 439 | 689 | 798 |
|
Table 4. Analysis results of three different U-shaped frame materials
Name | Stiffness/N·mm−1 | Ka | Kr | 71802 | $4.579\;9 \times {10^4}$ | $3.084\;4 \times {10^5}$ | 61802 | - | $2.570\;7 \times {10^5}$ | 71908 | $2.367\;3 \times {10^5}$ | $7.509\;3 \times {10^5}$ | 61902 | - | $3.104\;3 \times {10^5}$ |
|
Table 5. Angular contact bearing and deep groove ball bearing stiffness calculation results
Orientation | Frequency/Hz | Mode description | Modal shape | X | 115.5 | Vibration along Xaxis
| Fig.12(a) | Y | 235.8 | Rotate around X axis
| Fig.12(b) | Z | 369.8 | Rotate around Z-axis
| Fig.12(c) |
|
Table 6. Modal analysis results of two-dimensional turntable
Orientation | Experiment | FEA | Relative error | X | 111.9 | 115.5 | 3.6% | Y | 222.74 | 235.8 | 5.9% | Z | 351.3 | 369.8 | 5.3% |
|
Table 7. Mechanics test results and simulation errors of two-dimensional turntable