Infrared and Laser Engineering, Volume. 50, Issue 6, 20200450(2021)
Optimal design of natural frequency of two-degree-of-freedom fast steering mirror system
Figures & Tables(17)
Fig. 1. (a) Overall structure of fast steering mirror; (b) Flexible support system structure
Fig. 2. (a) Plan view of deep-cut flexure hinge; (b) Schematic diagram of deep-cut flexure hinge
Fig. 3. (a) First-order mode; (b) Second-order mode; (c) Third-order mode; (d) Fourth-order mode
Fig. 4. (a) Simplified diagram of first-order mode shape stiffness; (b) Simplified diagram of second-order mode shape stiffness; (c) Simplified diagram of third-order mode shape stiffness;(d) Simplified diagram of fourth-order mode shape stiffness
Fig. 6. (a) Non-linear fitting curve diagram; (b) Non-linear fitting determination coefficient
Fig. 7. Finite element verification of the working stiffness of the deep-cut flexure hinge
Fig. 11. (a) First-order mode; (b) Second-order mode; (c) Third-order mode; (d) Fourth-order mode
Table 1. Comparison of theoretical calculation and finite element simulation of working stiffness of deep-cut flexure hinge
View tableView in ArticleTable 1. Comparison of theoretical calculation and finite element simulation of working stiffness of deep-cut flexure hinge
a /mm b /mm t /mm w /mm Theoretical calculation results /N·m·rad−1 Finite element simulation results /N·m·rad−1 Error percentage 10 8 1 8 25.3799 26.0417 −2.54% 10 6 1 8 33.8399 32.6513 3.64 % 5 3 0.5 8 8.4600 8.2527 2.45% 5 3 0.5 5 5.2875 5.1466 2.74% 5 2 0.5 5 7.9312 7.2922 8.76%
Table 2. Comparison of theoretical calculation and finite element simulation of three-boundary natural frequency of fast mirror system
View tableView in ArticleTable 2. Comparison of theoretical calculation and finite element simulation of three-boundary natural frequency of fast mirror system
a /mm b /mm w /mm t /mm Mirror thickness: h /mm Theoretical calculation value of third-order mode/Hz Three-order mode finite element simulation value/Hz Error percentage 4 3.5 5 0.8 23 284.40 286.25 0.61% 10 8 8 1 15 218.90 220.17 −0.58% 6 5 8 1 15 434.29 427.11 1.68%
Table 3. Initial structure parameters of the fast steering mirror system
View tableView in ArticleTable 3. Initial structure parameters of the fast steering mirror system
a/mm b/mm t/mm w/mm L/mm D/mm h/mm 10 8 1 8 25 100 15
Table 4. Optimization results of genetic algorithm
View tableView in ArticleTable 4. Optimization results of genetic algorithm
Parameter Value a / mm4.8 b/mm 4 t / mm0.8 G(x) 0.0181
Table 5. Comparison of system stiffness between multi-objective optimized structure and initial structure
View tableView in ArticleTable 5. Comparison of system stiffness between multi-objective optimized structure and initial structure
a/mm b/mm t/mm K1/N·m·rad−1 K2/N·m·rad−1 K3/N·m·rad−1 K4/N·m−1 G(x) Initial value 10 8 1 50.04 50.04 844.6296 1.323e+06 0.0279 Optimized value 4.8 4 0.8 40.51 40.51 3.3602e+03 2.343e+06 0.0181 Optimization rate −19.04% −19.04% 297.83% 77.09% 41.58%
Table 6. Comparison of the fourth-order natural frequency between the optimized structure and the initial structure
View tableView in ArticleTable 6. Comparison of the fourth-order natural frequency between the optimized structure and the initial structure
First-order mode/Hz Second-order mode/Hz Third-order mode/Hz Fourth-order mode/Hz Initial structure 60.715 60.814 236.93 549.97 Optimized structure 55.807 57.533 503.68 642.38 Optimization rate −8.08% −5.40% 112.59% 16.80%
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Weifan Zhang, Changxiang Yan, Zhiliang Gao, Siyu Wang, Xiao Shen, Jing Yuan, Youzhi Dong. Optimal design of natural frequency of two-degree-of-freedom fast steering mirror system[J]. Infrared and Laser Engineering, 2021, 50(6): 20200450
Paper Information
Category: Optical devices
Received: Nov. 16, 2020
Accepted: --
Published Online: Aug. 19, 2021
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