Small Displacement Deformation Measurement Method for Large Structures Based on Optical Lever

Yiyang Hu; Shunkun Liang; Banglei Guan; Yang Shang; Qifeng Yu

doi:10.3788/AOS241621

Acta Optica Sinica, Volume. 45, Issue 4, 0412001(2025)

Small Displacement Deformation Measurement Method for Large Structures Based on Optical Lever

Yiyang Hu^1,2, Shunkun Liang^1,2, Banglei Guan^1,2、*, Yang Shang^1,2、**, and Qifeng Yu^1,2

Author Affiliations

¹College of Aeronautics and Astronautics, National University of Defense Technology, Changsha 410073, Hunan , China

²Hunan Provincial Key Laboratory of Image Measurement and Vision Navigation, Changsha 410073, Hunan , China

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Figures & Tables(12)

Fig. 1. Schematic diagram of optical lever measurement system

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Fig. 2. Measurement flowchart of minor deformation of large-scale structure

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Fig. 3. Camera imaging diagrams

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Fig. 4. Simulation results. (a) Relationship between spacing measurement error and spot center extraction error; (b) relationship between angle measurement error and spot center extraction error

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Fig. 5. Deformation measurement system

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Fig. 6. Equipment installation. (a) Laser light source; (b) bidirectional reflector; (c) diffuse reflective imaging screen

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Fig. 7. Effect of light spot center obtained by Gaussian fitting

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Fig. 8. Variation of light spot center during deformation

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Table 1. Main system parameters

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Table 1. Main system parameters

Parameter	Set value	Standard deviation for Gaussian error function
$S$ /mm	3000	3
$B$ /mm	80.0	0.1
$θ_{1}$ /（°）	1	0.001
$θ_{2}$ /（°）	45	0.001
$F$ /mm	2960	3
Angle deviation of vertical emission beam /（°）	0	0.001
Angle deviation of screen 2/（°）	0	0.001
Position deformation of light source-camera group /mm	0	0.01
Angle deformation of light source-camera group /（°）	0	0.001

Table 2. Measurement results for displacement
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Table 2. Measurement results for displacement
No. Stage set value Measurement value Error
1 1 1.0707 0.0707
2 2 2.0418 0.0418
3 3 2.9656 0.0344
4 4 4.0629 0.0629
5 5 4.9713 0.0287

Table 3. Measurement results for rotation
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Table 3. Measurement results for rotation
No. Stage set value Measurement value Error
1 0.01 0.01077 0.00077
2 0.02 0.02056 0.00056
3 0.03 0.02936 0.00064
4 0.04 0.03972 0.00028
5 0.05 0.04942 0.00058

Table 4. Measurement results of displacement and rotation

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Table 4. Measurement results of displacement and rotation

No.	Stage set value of displacement /mm	Displacement measurement value /mm	Error of displacement /mm	Stage set value of rotation angle /（°）	Rotation angle measurement value /（°）	Error of rotation angle /（°）
1	1	0.9291	0.0709	0.01	0.00934	0.00066
2	2	2.0462	0.0462	0.02	0.02063	0.00063
3	3	2.9829	0.0171	0.03	0.03037	0.00037
4	4	4.0697	0.0697	0.04	0.03933	0.00067
5	5	4.9361	0.0639	0.05	0.04914	0.00086

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Yiyang Hu, Shunkun Liang, Banglei Guan, Yang Shang, Qifeng Yu. Small Displacement Deformation Measurement Method for Large Structures Based on Optical Lever[J]. Acta Optica Sinica, 2025, 45(4): 0412001

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