Dynamics Analysis of Similarity and Experimental Study of Collimator System for TMT Wide Field Spectrometer

Yuanjing Peng; Mingming Xu; Yi Chen; Zhongwen Hu; Hangxin Ji; Lei Wang

doi:10.3788/LOP202158.1412005

Laser & Optoelectronics Progress, Volume. 58, Issue 14, 1412005(2021)

Dynamics Analysis of Similarity and Experimental Study of Collimator System for TMT Wide Field Spectrometer

Yuanjing Peng^1,2,3, Mingming Xu^1,2、*, Yi Chen^1,2, Zhongwen Hu^1,2, Hangxin Ji^1,2, and Lei Wang^1,2

¹Nanjing Institute of Astronomical Optics & Technology, National Astronomical Observatories, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;

²CAS Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Nanjing, Jiangsu 210042, China;

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

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Figures & Tables(7)

Fig. 1. Structure and main dimensions of collimator system. (a) Structure; (b) main dimensions

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Fig. 2. Comparison among first to third order vibration modes for finite element models of prototype and scaled model of collimator system. (a) First order vibration mode; (b) second order vibration mode; (c) third order vibration mode

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Fig. 3. Surface deformation of collimator system. (a) Prototype; (b) scaled model

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Fig. 4. Scaled model test of collimator system

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Fig. 5. Mirror surface deformation for scaled model of collimator system. (a) After processing; (b) in working environment

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Table 1. Similarity ratio among physical parameters of collimator system
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Table 1. Similarity ratio among physical parameters of collimator system
Physical parameter Scale factor Value
l λ_l 3
ρ λ_ρ 1
E λ_E 1
ν λ_ν 1
f λ_f 1/3
G λ_G 27
d λ_d 9

Table 2. First to sixth order frequencies for finite element models of prototype and scaled model of collimator system
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Table 2. First to sixth order frequencies for finite element models of prototype and scaled model of collimator system
Order Frequency /Hz Error /%
Finite element model of prototype Finite element model of scaled model
1 15.406 47.736 3.28
2 24.398 74.927 2.37
3 32.657 101.07 3.16
4 168.41 506.34 0.22
5 184.68 556.6 0.46
6 233.26 705.21 0.79

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Yuanjing Peng, Mingming Xu, Yi Chen, Zhongwen Hu, Hangxin Ji, Lei Wang. Dynamics Analysis of Similarity and Experimental Study of Collimator System for TMT Wide Field Spectrometer[J]. Laser & Optoelectronics Progress, 2021, 58(14): 1412005

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