微纳遥感相机一体式超轻主支撑结构优化设计 
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Optimized Design of Integrated Ultra-Light Main Supporting Structure for Micro-Nano Remote-Sensing Camera
1 长光卫星技术有限公司, 吉林 长春 130031
2 中国科学院长春光学精密机械与物理研究所, 吉林 长春 130033
图 & 表
图 1. 光学系统分布
Fig. 1. Layout of optical system
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图 2. 主支撑结构构型。(a)筒式;(b)桁架式
Fig. 2. Types of main supporting structure. (a) Cylinder type; (b) truss type
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图 3. 改进的Heaviside函数
Fig. 3. Improved Heaviside function
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图 4. 拓扑优化后主支撑结构的有限元模型
Fig. 4. Finite element model of main supporting structure after topology optimization
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图 5. 拓扑优化后主支撑结构的单元密度
Fig. 5. Cell density of main supporting structure after topology optimization
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图 6. 尺寸优化后主支撑结构的有限元模型
Fig. 6. Finite element model of main supporting structure after size optimization
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图 7. 振动测试现场
Fig. 7. In-site vibration test
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图 8. 正弦扫频实验数据
Fig. 8. Test data of sine-frequency sweep
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图 9. 静力学实验现场
Fig. 9. In-site statics test
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表 1光学系统的公差
Table1. Tolerance of optical system
| Mirror | Rigid displacement | Twist angle | |
|---|
| Δx /μm | Δy /μm | Δz /μm | θx /(″) | θy /(″) | θz /(″) |
|---|
| Primary mirror | Datum | Datum | Datum | Datum | Datum | Datum | | Second mirror | 20 | 20 | None | 20 | 20 | None |
|
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表 2常用空间相机主支撑结构材料的物理性能
Table2. Physical properties of main supporting structure materials of common space cameras
| Material | Density ρ /(g·cm-3) | Young's modulus E /GPa | Specific stiffness | Thermal conductivity k /(W·m-1·℃-1) | Thermal expansion coefficient α /(10-6 ℃-1) | Poisson's ratio μ |
|---|
| M40 | 1.56 | 145 | 92.9 | 2 | -2 | 0.3 | | Invar | 8.1 | 141 | 17.4 | 13.9 | 0.05-7.5 | 0.25 | | SiC | 3.05 | 330 | 108.2 | 185 | 2.5 | 0.2 | | ZTC4 | 4.44 | 114 | 25.7 | 8.8 | 8.9 | 0.29 |
|
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表 3主支撑结构性能参数的对比
Table3. Comparison of performance parameters of main supporting structures
| Structure type | Power of high temperature /W | Power of low temperature /W | Peak power /W | Mass /kg |
|---|
| Cylinder type | 2.1 | 5.4 | 14 | >1 | | Truss type | 0.6 | 1.6 | 4 | <1 |
|
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表 4主支撑结构的尺寸
Table4. Sizes of main supporting structure
| Designvariable | Variationrange /mm | Optimizationvalue /mm | Design value /mm |
|---|
| Ttop | [1,3] | 2.2 | 2 | | Tcj | [1,3] | 1.6 | 2 | | Trod | [2,6] | 4.0 | 4 | | Tboard | [5,12] | 10.8 | 10 | | Ttrim | [2,4] | 3.3 | 3 | | Tbot | [6,10] | 5.5 | 6 |
|
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表 5微纳遥感相机与NAOMI相机的结构与参数
Table5. Structures and parameters of micro-nano remote-sensing camera and NAOMI camera
| Item | Micro-nano remote-sensing camera | NAOMI camera |
|---|
| Structure | ![]() | ![]() | | Mass /kg | 6 | 13 | | Dimension | ϕ230 mm×480 mm | 340 mm×460 mm×510 mm | | Orbit altitude /km | 500 | 680 | | Ground sample distance /m | 2 | 2.5 | | Swath width /m | 10 | 17.5 |
|
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表 6静力学分析结果
Table6. Results of statics analysis
| Mirror | Rigid displacement | Twist angle | |
|---|
| Δx /μm | Δy /μm | Δz /μm | θx /(″) | θy /(″) | θz /(″) |
|---|
| Primary mirror | Datum | Datum | Datum | Datum | Datum | Datum | | Second mirror | 4.3 | 0.0003 | None | 6.5 | 0.003 | None |
|
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表 7正弦扫频实验和工程分析得到的固有频率的对比
Table7. Comparison of intrinsic frequencies obtained from sine-frequency sweep experiment and engineering analysis
| Loading direction | Intrinsic frequency from analysis /Hz | Intrinsic frequency from experiment /Hz | Error /% |
|---|
| Horizontal | 199 | 200 | 0.5 | | Axial | 419 | 423 | 1.0 |
|
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表 8静力学实验及工程分析得到的结果对比
Table8. Comparison between statics test results and analysis data
| Angle of pitch | Optical tolerance /(″) | Data of analysis /(″) | Data of test /(″) | Error /% |
|---|
| θx | 20 | 6.5 | 5.4 | 16 |
|
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王泰雷, 张雷, 贾学志, 高阁. 微纳遥感相机一体式超轻主支撑结构优化设计[J]. 光学学报, 2019, 39(7): 0728009. Tailei Wang, Lei Zhang, Xuezhi Jia, Ge Gao. Optimized Design of Integrated Ultra-Light Main Supporting Structure for Micro-Nano Remote-Sensing Camera[J]. Acta Optica Sinica, 2019, 39(7): 0728009.
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