Dynamic Characteristics Analysis of Space Electro-optical Tracking and Pointing Turntable

Table 1. Bearing stiffness calculation results
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Table 1. Bearing stiffness calculation results
$k_{x, y}$ /（N·mm^-1） $k_{z}$ /（N·mm^-1） $k_{θ x, θ y}$ /（N·mm/°） $k_{θ z}$ /（N·mm/°）
Azimuth shafting 2.5× $10^{5}$ 1.1× $10^{5}$ - -
Left-pitching shafting 1.6× $10^{5}$ 70 000 5.1× $10^{7}$ -
Right-pitching shafting 30 000 300 0 0

Table 2. The first six natural frequencies of modal test
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Table 2. The first six natural frequencies of modal test
Mode Nature frequency/Hz Modal shape
1 44.1 Rotate around pitching shafting
2 66.5 Swing back and forth
3 67.4 Swing left and right
4 106.7 Rotate around azimuth shafting
5 174.8 Local modal
6 186.5 Swing up and down

Table 3. Modal test setting
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Table 3. Modal test setting
No. Working conditions
Azimuth locking devices Pitching locking devices
1 Unlocked Unlocked
2 Unlocked Locked
3 Locked Locked

Table 4. Stiffness identification of pitching shafting
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Table 4. Stiffness identification of pitching shafting
Mode shape Rotate around pitching shafting
Working conditions 1
Test/Hz 32.7
Simulation/Hz 33.5
Relative error/% 2.4

Table 5. Stiffness identification of azimuthal shafting
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Table 5. Stiffness identification of azimuthal shafting
Mode shape Swing left and right Swing back and forth Rotate around azimuth shafting
Working conditions 1
Test/Hz 42.4 58 40.1
Simulation/Hz 43 58.4 39.2
Relative error/% 1.4 0.6 2.2

Table 6. Stiffness identification of pitching locking devices
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Table 6. Stiffness identification of pitching locking devices
Mode shape Swing back and forth Swing left and right Rotate around pitching shafting
Working conditions 2
Test/Hz 61.2 46.6 40.6
Simulation/Hz 61.8 46.3 41.4
Relative error/% 0.9 0.6 1.9

Table 7. Stiffness identification of azimuth locking devices
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Table 7. Stiffness identification of azimuth locking devices
Mode shape Swing left and right Swing back and forth Swing up and down
Working conditions 3
Test/Hz 67.4 66.5 186.5
Simulation/Hz 68.8 66.9 184.8
Relative error/% 2.0 0.6 0.9

Table 8. The stiffness coefficient of each Bushing elements

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Table 8. The stiffness coefficient of each Bushing elements

	Stiffness
	$k_{x}$ /（N·mm^-1）	$k_{y}$ /（N·mm^-1）	$k_{z}$ /（N·mm^-1）	$k_{θ x}$ /（N·mm/°）	$k_{θ y}$ /（N·mm/°）	$k_{θ z}$ /（N·mm/°）
Azimuth shafting	2.5× $10^{5}$	2.5× $10^{5}$	1.1× $10^{5}$	2.5× $10^{7}$	4.5× $10^{7}$	5.5× $10^{5}$
Left-pitching shafting	1.6× $10^{5}$	1.6× $10^{5}$	70 000	5.1× $10^{7}$	5.1× $10^{7}$	4× $10^{5}$
Rightt-pitching shafting	30 000	30 000	300	0	0	0
Pitching locking devices	50 000	50 000	30 000	0	3× $10^{7}$	3× $10^{7}$
Azimuth locking devices	15 000	15 000	25 000	0	0	0

Table 9. Comparison of nature frequency between simulation and modal test

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Table 9. Comparison of nature frequency between simulation and modal test

Modal shape	Modal Test	Simulation 1	Simulation 2	Simulation 3
Modal shape	Nature frequency/Hz
Rotate around pitching shafting	44.1	44.7	43.4	34.7
Swing back and forth	66.5	67.9	85.1	73.4
Swing left and right	67.4	69.1	96.2	78.4
Rotate around azimuth shafting	106.7	110.1	135.4	127.8
Local modal	174.8	167.7	190.4	143.6
Swing up and down	186.5	184.4	368.9	201.9

Table 10. Test condition of 0.2 g swept-sine vibration test
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Table 10. Test condition of 0.2 g swept-sine vibration test
Orientation Frequency/Hz Vibration level（g） Tolerance
X，Y，Z 5~200 0.2（4 oct·min^-1）
≤25 Hz，±0.5 Hz
>25 Hz，±2%

Table 11. 0.2 g swept-sine vibration test results and simulation errors
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Table 11. 0.2 g swept-sine vibration test results and simulation errors
Mode Test/Hz Simulation/Hz Relative error/%
1 47.1 44.7 5.3
2 69.9 67.9 2.8
3 71.2 69.1 2.9
4 111.3 110.1 1.1
5 165 167.7 1.6
6 193.2 184.4 4.6

Table 12. Modal damping coefficient identification
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Table 12. Modal damping coefficient identification
Orientation MAX response point Mode Test response/g Simulation response/g Relative errors/%
X A₆ 2 3.68 3.56 3.2
Y A₁ 3 4.39 4.38 0.2
Z A₈ 6 3.19 3.09 3.1

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Jiali PENG, Ping RUAN, Youjin XIE, Zhiguo LI, Jiahao WANG, Jingyu HAN. Dynamic Characteristics Analysis of Space Electro-optical Tracking and Pointing Turntable[J]. Acta Photonica Sinica, 2023, 52(7): 0712002

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