Research on Stress of Large Aperture Mirror Supporting Structures by Search Algorithm

Zhengda Li; Heyu Liu; Jinhong Wei; Yejin Li; Shengli Sun

doi:10.3788/AOS202040.1412003

Acta Optica Sinica, Volume. 40, Issue 14, 1412003(2020)

Research on Stress of Large Aperture Mirror Supporting Structures by Search Algorithm

Zhengda Li^1,2,3, Heyu Liu^1,2, Jinhong Wei^1,2, Yejin Li^1,2, and Shengli Sun^1,2,3、*

Author Affiliations

¹Key Laboratory of Intelligent Infrared Perception, Chinese Academy of Sciences, Shanghai 200083, China

²Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(12)

Fig. 1. Flow chart of the construction of analysis model

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Fig. 2. Lightweight structure of φ230 mm Zerodur aperture mirror

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Fig. 3. Wavefront testing methods for surface deformation of three large aperture mirrors. (a) Plane mirror; (b) spherical mirror; (c) aspherical mirror

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Fig. 4. Relationship between the surface deformation of each point in mirror and wavefront variation tested by interferometer

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Fig. 5. Surface deformation of mirror via FEM simulation( the sample is a φ230 mm aperture size plane mirror, and the support point P₀ is imposed 1 N stress in six directions, including ±X,±Y and ±Z). (a) Surface deformation of mirror after 1 N stress is imposed on P₀ in the direction + X; (b) surface deformation of mirror after 1 N stress is imposed on P₀ in the direction of -X; (c) surface deformation of mi

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Fig. 6. Surface deformation of mirror after a set of random stresses are imposed on six support points

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Fig. 7. Flow chart of simulated annealing algorithm

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Fig. 8. RMS of surface deformation variation which is the differences between the deformation variation caused by n N stress and n times deformation caused by 1 N stress. (a) In the direction of X; (b) in the direction of Y; (c) in the direction of Z

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Fig. 9. Surface deformation variation of mirror imposed by the 5 sets of random stresses shown in the table 2 and surface deformation variation calculated via search algorithm. (a)(b) P₀; (c)(d) P₁; (e)(f)P₂; (g)(h)P₃; (i)(j)P₄

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Table 1. A set of random stresses is imposed on the six support points of φ230 mm aperture plane mirror
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Table 1. A set of random stresses is imposed on the six support points of φ230 mm aperture plane mirror
Support No. Random stresses /N
Direction X Direction Y Direction Z
Support P₀ 10 -8 43
Support P₁ 47 18 42
Support P₂ -37 22 -47
Support P₃ 12 39 0
Support P₄ 2 16 -7
Support P₅ 33 16 -34

Table 2. Directions and magnitude of stresses calculated via surface deformation under the five sets of random stresses

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Table 2. Directions and magnitude of stresses calculated via surface deformation under the five sets of random stresses

No.		Stress /N
		Support P₀			Support P₁			Support P₂
		X	Y	Z	X	Y	Z	X	Y	Z
1	F_stress	10	-8	43	47	18	42	-37	22	-47
1	F_result	20.3	-5.2	39.9	25.1	11.1	28.8	-32.5	2.5	-60.2
2	F_stress	21	1	23	5	-11	30	22	41	25
2	F_result	46.2	13.9	23.5	-6.3	-15.2	22.3	16.9	37.8	13.0
3	F_stress	-28	-42	-1	2	-13	-41	-40	39	0
3	F_result	-18.3	-42.9	-9.6	10.9	-24.6	-42.1	-37.8	21.5	17.3
4	F_stress	-39	-24	8	-27	49	-24	16	-17	-2
4	F_result	-31.6	-18.5	0.8	-27.4	61.7	-36.3	14.1	-3.2	4.4
5	F_stress	-21	30	-27	-10	-47	-17	-1	20	41
5	F_result	-31.2	28.2	-39.9	-14.1	-55.8	-25.0	-4.0	8.1	44.2
No.		Stress /N
		Support P₃			Support P₄			Support P₅
		X	Y	Z	X	Y	Z	X	Y	Z
1	F_stress	12	39	0	2	16	-7	33	16	-34
1	F_result	12.3	13.8	-15.1	1.1	9.3	-11.7	12.0	21.4	-29.8
2	F_stress	36	-48	-3	-41	2	33	31	13	-40
2	F_result	43.0	-47.5	-10.3	-33.8	9.7	32.3	27.7	26.6	-35.2
3	F_stress	31	-1	-44	32	48	-42	-44	-21	-13
3	F_result	29.5	-15.7	-13.9	29.5	46.0	-8.7	-41.0	-11.3	-2.1
4	F_stress	8	-34	18	32	15	-37	-10	-7	-30
4	F_result	0.4	-30.1	43.8	24.6	16.2	-7.6	-22.8	-7.6	-14.5
5	F_stress	-32	48	-46	22	30	3	3	-49	-1
5	F_result	-22.2	31.7	-39.9	34.7	39.6	-33.1	2.9	-36.8	-12.7

Table 3. Accuracy analysis of calculation results
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Table 3. Accuracy analysis of calculation results
No. Residual errors /nm Accuracy rate of orientation /% Accuracy rate of magnitude /%
1 4.68 98 75
2 2.16
3 4.82
4 3.72
5 2.69

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Zhengda Li, Heyu Liu, Jinhong Wei, Yejin Li, Shengli Sun. Research on Stress of Large Aperture Mirror Supporting Structures by Search Algorithm[J]. Acta Optica Sinica, 2020, 40(14): 1412003

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Apr. 1, 2020

Accepted: Apr. 20, 2020

Published Online: Jul. 23, 2020

The Author Email: Sun Shengli (lizhengda@mail.sitp.ac.cn)

DOI:10.3788/AOS202040.1412003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. A set of random stresses is imposed on the six support points of φ230 mm aperture plane mirror

Table 1. A set of random stresses is imposed on the six support points of φ230 mm aperture plane mirror

Table 2. Directions and magnitude of stresses calculated via surface deformation under the five sets of random stresses

Table 2. Directions and magnitude of stresses calculated via surface deformation under the five sets of random stresses

Table 3. Accuracy analysis of calculation results

Table 3. Accuracy analysis of calculation results